files.transtutors.com€¦ · Web viewExam. Name . MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A constant force of

ExamName

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1) A constant force of 20 N is applied to an object of mass 8.0 kg at an angle of 25°

with the horizontal. What is the work done by this force on the object if it causes a displacement of 2.0 m along the horizontal direction?

A) 40 J B) 19 J C) 36 J D) 0 J E) 17 J

2)A constant force = 2.00 N + 3.00 N acts on a 5.00 kg object as it moves in a straight line

from the position 1 = 1.00 m + 1.00 m to a position 2 = 4.00 m- 1.00 m . Determine the work done by the force

during this motion.A) 13.0 J B) 2.00 J C) 12.7 J D) 5.00 J E) 0.00 J

3) A 5.00-kg box slides 3.00 m across the floor before coming to rest. What is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3.00 m/s?

A) 0.153 B) 0.587 C) 0.306 D) 1.50 E) 0.200

FIGURE 7-2

1)

2)

3)

Three applied forces, 1 = 20.0 N, 2 = 40.0 N, and 3 = 10.0 N, act on an object with a mass of 2.00 kg which can move along an inclined plane as shown in the figure. The questions refer to the instant when the object has moved 0.600 m along the

surface of the inclined plane in the upward direction. Neglect friction and use g = 10.0 m/ .

4)Refer to Fig. 7-2. What is the amount of work done by force 1 as the object moves up theinclined plane?A) 12.0 J B) 16.0 J C) 10.0 J D) 0 J E) 11.0 J

5)Refer to Fig. 7-2. What is the amount of work done by force 2 as the object moves up theinclined plane?A) 24.0 J B) 20.8 J C) 12.0 J D) 0 J E) 16.0 J

6)Refer to Fig. 7-2. What is the amount of work done by the force 3 as the object moves up theinclined plane?A) 0 J B) 20.8 J C) 12.0 J D) 16.0 J E) 24.0 J

7)A student slides her 80.0-kg desk across the level floor of her dormitory room a distance 2.00 m at constant speed. If the coefficient of kinetic friction between the desk and the floor is 0.400,

4)

5)

6)

ho much w work

did she do?

7)

_A) 628 J B) 64.0 J C) 1.57 kJ D) 24.0 J E) 26.7 J

8)An airplane flies 120 km at a constant altitude in a direction north of east. A wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kN in a direction 10.0° south of west. How much work is done by the air on the plane?

A) -221 × 108 JB) -0.985 × 108 JC) 0.821 × 108 JD) -2.70 × 108 JE) 221 × 108 J

8)

9) 9) Determine the scalar product of = 3.0 + 4.0 - 2.0 and = 2.0 - 6.0 - 3.0 .

A) -12B) - + C) 36D) + + E) undefined

10)Determine the angle between the directions of vector = 3.00 + 1.00 and vector = 1.00 +3.00 .

A) 53.1° B) 30.0° C) 86.6° D) 45.2° E) 36.9°

10)

11) Which of the following vectors is perpendicular to the vector - +2.0 ? 11)

A)

1.0+1.0

+1.0

B)

1.0

-2.0 +1.0

C)

2.0

+1.0

D)

2.0

-3.0 +1.0

E)

3.0-3.0 +3.

0

12)The scalar product of vector = 3.00 + 2.00 and vector

is 12.0. Which of the followingvectors could be vector

? A) 6.00 + -

3.00 B) 4.00 + 6.00C) 5.00 + 4.00

D)

2.00

+

4.00E)

12.0

12)

13)The angle between vector = + and vector is The scalar product of

vectors and

is7.00. If thex-compo nent of vector

is positive, what is vector

.

13)

A)B)C)D)E)

FIGURE 7-3

14) An object is under the influence of a force as represented by the force vs. position graph in Fig.7-3. What is the work done as the object moves from 4 m to 6 m?

A) 30 J B) 70 J C) 20 J D) 40 J E) 0 J

15) An object is under the influence of a force as represented by the force vs. position graph in Fig. 7-3. What is the work done as the object moves from 0 m to 4 m?

A) 70 J B) 0 J C) 40 J D) 20 J E) 30 J

16) An object is under the influence of a force as represented by the force vs. position graph in Fig. 7-3. What is the work done as the object moves from 6 m to 12 m?

A) 20 J B) 40 J C) 30 J D) 70 J E) 0 J

FIGURE 7-4

14)

15)

16)

)

17) The force on an object as a function of position is shown in Fig. 7-4. Determine the amount ofwork done by this force on an object that moves from x = 2.0 m to x = 7.0 m.

A) 38 J B) 32 J C) 24 J D) 29 J E) 33 J

FIGURE 7-5

18) The graph of a force as a function of position is shown in Fig. 7-5. Determine the amount of work done by this force for an object during a displacement from x = -2.00 m to x = 2.00 m.

17)

18)

A) -3.00 J B) 3.00 J C) 12.00 J D) -12.00 J E) -1.00 J

19) A spring with a spring constant of 2500 N/m. is stretched 4.00 cm. What is the work required to stretch the spring?

A) 4.00 J B) 2.00 J C) 0 J D) 3.00 J E) 1.00 J

20) 4.0 J of work are performed in stretching a spring with a spring constant of 2500 N/m. How much is the spring stretched?

A) 5.7 m B) 5.7 cm C) 3.2 cm D) 0.3 cm E) 3.2 m

21) A weight of 200 N is hung from a spring with a spring constant of 2500 N/m and lowered slowly. How much will the spring stretch?

A) 10.0 cm B) 12.0 cm C) 4.00 cm D) 6.00 cm E) 8.00 cm

19)

20)

21)

22) If the work done to stretch a spring by 4.0 cm is 6.0 J, what is the spring constant?22) A) 300 N/m B) 7500 N/m C) 6000 N/m D) 3500

N/m E) 3000 N/m

23) A force on a particle depends on position such that F(x) = (3.00 N/ + (2.00 N/m)x for a particle

constrain 23) ed tomove along the x-axis.What work is done by this force on a particle that moves from x =0.00 m to x = 2.00 m?

A) 12.0 J B) 10.0 J C) 16.0 J D) 32.0 J E) -32.0 J

24) A force is

dependent on position and is given by (4.00 + (2.0 N/ . An object begins at the origin. How much work is done on the object as it moves in a straight line to y = 0.00 m?

A) 2.50 J B) 0.00 J C) 1.50 J D) 3.00 J E) 2.00 J

25) A force is dependent

on position and is given by (4.00 +(2.0 N/ . An object begins at the origin. It first moves in a straight line to x = 1.00 m, y = 0.00 m. It then moves in a straight line to x = 1.00 m, y = 1.00 m. How much work is done on the object by the force during the motion described?

A) 2.50 J B) 3.00 J C) 1.50 J D) 2.00 J E) 0.00 J

26) How much energy is needed to change the speed of a 1600 kg sport utility vehicle from 15.0 m/s to 40.0 m/s?

A) 10.0 kJ B) 0.960 MJ C) 1.10 MJ D) 40.0 kJ E) 20.0 kJ

27) An object of mass 10.0 kg is initially at rest. A 100 N force causes it to move horizontally through a distance of 6.00 m. What is the change in the kinetic energy of this object?

A) 60.0 J B) 600 J C) 1000 J D) 0 J E) 200 J

28) A 30 N-force toward the west is applied to an object. The object moves 50 m east during the time the force is applied. What is the change in kinetic energy of the object?

A) 1.0 J B) 750 J C) 0.0 J D) -1500 J E) 1.7 J

29) A man lifts a 20.0-kg bucket of concrete from the ground up to the top of a 30.0-m tall building. The bucket is initially at rest, but is traveling at 4.0 m/s when it reaches the top of the building. How much work was done by the man in lifting the bucket?

A) 600 J B) 6.04 kJ C) 5.88 kJ D) 760 J E) 160 J

30) A ball is thrown upward with a speed and direction such that it reaches a maximum height of18.0 m above the point it was released. At its maximum height it has a speed of 20.0 m/s. With what speed was the ball released?

A) 27.4 m/s B) 24.3 m/s C) 39.0 m/s D) 31.3 m/s E) 35.1 m/s

24)

25)

26)

27)

28)

29)

30)

31) A 6.00-kg block starts from rest and slides down a frictionless incline. When the block has slid a distance 2.00 m, its speed is 3.00 m/s. At what angle above horizontal is the inclined plane tilted?

A) 5.26° B) 6.58° C) 8.80° D) 13.3° E) 27.3°

32) How large a force is required to accelerate a 1600 kg car from rest to a speed of 25 m/s in a distance of 200 m?

A) 400 N B) 2500 N C) 0 N D) 1600 N E) 200 N

33) A 10.0-kg object is initially moving with a velocity of 20.0 m/s to the north and is acted on by a constant net force. After the object moves 30.0 m to the north, its velocity is 12.0 m/s north. What is the constant net force acting on the object?

A) 3.33 N southB)66.6 N northC) 66.6 N southD) 214 N northE)42.7 N south

34) A 1.00-kg mass is attached to a spring hanging vertically and hangs at rest in the equilibrium position. The spring constant of the spring is 1.00 N/cm. The mass is pulled downward 2.00 cm and released. What is the speed of the mass when it is 1.00 cm above the point from which it was released?

A) 0.0443 m/sB) 1.73 m/sC) 0.0201 m/sD) 1.67 m/sE) The mass will not reach the height specified.

35) The force on a 0.500-kg particle depends on position such that F(x) = (1.00 N/ ) + (4.00 N/m)x for a particle constrained to move along the x-axis. If the particle starts from rest at what will be its speed when it reaches the position

A) 22.6 m/sB) 1.65 m/sC) 11.3 m/sD) 14.6 m/sE) The particle will not reach the position x = 4.00 m.

FIGURE 7-6

31)

32)

33)

34)

35)

36) The force on a 3.00-kg object as a function of position is shown in Fig. 7-6. If an object is moving at 2.50 m/s when it is located at x = 2.00 m, what will its speed be when it reaches x = 8.00 m?

36)


37) An unusual spring has a restoring force of magnitude F = (2.0 N/m) x + (1.0 N/m2) x2, where x is the stretch of the spring from its equilibrium length. A 3.00 kg mass is attached to this spring and released from rest after stretching the spring 2.00 m. What is the speed of the mass when the spring returns to its equilibrium length?


38) A 20-kg object is resting at the top of a table 1.6 m above ground level. The object is then picked up and moved to a height of 8.7 m above ground level. What is the change in the gravitational

potential energy of this object? Use g = 10 m/ .A) 140 J B) 320 J C) 71 J D) 1740 J E) 1390 J

39) A force on an object is given by F(x) = (2.00 N/m)x + (-3.00 N/m3)x3. What is a potential energy function for this conservative force?

A) (-1.00 N/m)x2 + (0.750 N/m3)x4B) -2.00 N/m + (-3.00 N/m3)x2 C) -2.00 N/m + 9.00x2D) 2.00 N/m - 9.00x2E) (-2.00 N/m)x2 + (3.00 N/m3)x4

40) A force on an object is given by F(x) = (-4.00 N/m)x + (2.00 N/m3)x3. What is the change in potential energy in moving from x = 1.00 m to x = 2.00 m?

A) -10.0 J B) -1.50 J C) 12.0 J D) 10.0 J E) +1.50 J

41) A mass of 3.0 kg is subject to a force F(x) = 8.0 N - (4.0 N/m)x. The potential energy of the mass is zero at x = 0. What is the potential energy of the mass at x = 2.0 m?

A) 8.0 J B) -8.0 J C) 0.0 J D) 4.0 J E) -4.0J

42) A potential energy function is given by U(x) = (3.00 N)x + (1.00 N/m2)x3. What is the force that is associated with this potential energy function?

A) -3.00 N - (1.00 N/m2)x2B) 3.00 N + (1.00 N/m2)x2C) -3.00 N - (3.00

N/m2)x2 D)

37)

38)

39)

40)

41)

42)

(-0/500 N/m2)x2 + (-1.00 N/m2)x4E) (0.500 N/m2)x2 + (1.00 N/m2)x4

43) A linear spring has a spring constant of 20 N/m. How far would it have to be stretched to have a potential energy of 0.10 J?

A) 20 m B) 2.0 m C) 0.10 m D) 0.0050 m E) 200 m

44) A force acting on a 2.00 kg object is given by F(x) = (2.00 N/m)x + (1.00 N/m3)x3. An object starts at rest at x = 1.00 m. What is speed of the object when it reaches x = 2.00 m?

A) 1.78 m/sB) 0.650 m/sC) 2.60 m/sD) 1.23 m/sE) The object does not reach 2.00 m because the increase in potential energy

would imply a negative kinetic energy.

45) Consider the motion of a 1.00-kg particle that moves with potential energy given by U(x) = -(2.0 J∙m)/x + (4.0 J∙m2)/x2. Suppose the particle is moving with a speed of 3.00 m/s when it is located at x = 1.00 m. What is the speed of the object when it is located at x = 5.00 m?

A) 2.13 m/sB) 3.00 m/sC) 3.67 m/sD) 4.68 m/sE) This question cannot be answered. You need to know the direction of the

velocity, not just the speed, when the particle is located at x = 1.00 m.

46) Consider the motion of a 1.00 kg particle that moves with potential energy given by U(x) = -(2.0 J∙m)/x + (4.0 J∙m2)/x2. Suppose the particle is moving with a speed of 3.00 cm/s when it is located at x = 3.00 m. At which other position would the speed be equal to 3.00 cm/s?

A) 4.50 mB) 3.00 mC) 5.00 mD) 6.00 mE) The only position at which the speed is 3.00 cm/s is at x = 3.00 m.

47) A car on a roller coaster starts at zero speed at an elevation above the ground of 26 m. It coasts down a slope, and then climbs a hill. The top of the hill is at an elevation of 16 m. What is the speed of the car at the top of the hill? Neglect any frictional effects.

A) 14 m/s B) 18 m/s C) 9 m/s D) 6 m/s E) 10 m/s

48) A ball is thrown from the edge of a 20.0 m high cliff with a speed of 20.0 m/s at an angle of 30.0° below horizontal. What is the speed of the ball when it hits the ground below the cliff?


49) A 0.500-kg object rests on a horizontal frictionless surface. It is in a position such that it is compressing a spring a distance 12.0 cm. If the object is released, the object leaves the spring at a speed of 20.0 cm/s. What is the spring constant of the spring?

A) 3.17 N/m B) 0.333 N/m C) 2.19 N/m D) 1.39 N/m E) 2.78 N/m

50) A projectile is fired from ground level at an angle of 40.0° above horizontal at a speed of 30.0 m/s. What is the speed of the projectile when it has reached a height equal to 0.500 of its maximum height?

43)

44)

45)

46)

47)

48)

49)

50)

A) 26.7 B) 28.1 C) 27.4 D) 28.7 E) 26.0

51) A mass of 2.0 kg traveling at 3.0 m/s along a smooth, horizontal plane hits a relaxed spring. The mass is slowed to zero velocity when the spring has been compressed by 0.15 m. What is the spring constant of the spring?

A) 20 N/m B) 9.0 N/m C) 800 N/m D) 18 N/m E) 400 N/m

52) An object of mass 1.00 kg is attached to a vertical spring with spring constant 100 N/m. The object is held at rest in a position such that the spring is stretched upward a distance 1.00 cm beyond its undisturbed length. If the object is released, how far will it drop before coming to rest?


53) A mass of 100 g is attached to one end of a massless rod, 10 cm in length, which is pivoted about the opposite end. The rod is held vertical, with the mass at the top, and released. The rod swings. What is the speed of the mass at the instant that the rod is horizontal?


54) An 8 kg object moving with an initial velocity of 4 m/s comes to rest due to friction after it travels a horizontal distance of 10 m. If the initial speed of the object is doubled, what distance will it

travel before coming to rest? Use g = 10 m/ .A) 20 m B) 10 m C) 30 m D) 40 m E) 80 m

55) An 8.0 kg object moving with an initial velocity of 8.0 m/s on a surface comes to rest due to friction after it travels a horizontal distance of 10 m. What is the coefficient of kinetic frictionbetween the object and the surface? Use g = 10 m/ .

A) 0.13 B) 0.43 C) 0.32 D) 0.25 E) 0.80

56) An object of mass m with a certain initial speed on a horizontal surface comes to rest after traveling a distance of 9.0 m. If the coefficient of kinetic friction between the object and the horizontal surface is 0.20, what is the initial speed of the object?


FIGURE 8-9

57) 6 J of work is needed to push an object of mass 2 kg from point A to point B of the frictionless inclined plane as shown in Fig. 8-9. If the angle of inclination is 30°, the height of the plane is h,

what is the length of the inclined plane? Use g = 10 m/ .A) 0.6 m B) 0.3 m C) 6 m D) 10 m E) 3 m

58) An object of mass 4 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in Fig. 8-9. If the speed of the object at the bottom of the inclined plane is 10 m/s, how

much work is done by the force of friction? Use g = 10 m/ .A) 100 J B) 200 J C) -100 J D) 0 E) -200 J

51)

52)

53)

54)

55)

56)

57)

58)

59) An object of mass 2.00 kg starts at rest from the top of a rough inclined plane of height 20.0 m as shown in Fig. 8-9. If the work done by the force of friction is -150 J, what is the speed of the object

as it reaches the bottom of the inclined plane? Use g = 10.0 m/ .A) 10.0 m/s B) 200 m/s C) 15.8 m/s D) 150 m/s E) 20.0 m/s

60) An object with a mass of 10 kg is moving along a horizontal surface. At a certain point it has 40 J of kinetic energy. If the coefficient of friction between the object and the surface is 0.60, how far

will the object go beyond that point before coming to a stop? Use g = 10 m/ .A) 67 cm B) 17 cm C) 5.7 cm D) 42 cm E) 60 cm

61) A moon of mass 4.00 × 1015 kg is in a circular orbit of radius 1.00 × 105 km about a planet of mass 6.00 × 1020 kg. Determine the potential energy of the system.

A) 2.40 × 1031 JB) -6.67 × 105 JC) -1.60 × 1018 JD) -1.60 × 1010 JE) 1.60 × 1010 J

62) A projectile is shot from the surface of Earth by means of a very powerful cannon. If the projectile reaches a height of 35,000 m above Earth's surface, what was the speed of the projectile when it left the cannon?


63) A space vehicle is orbiting Earth in a circular orbit with a radius of 10,300,000 m. What is the minimum increase in speed that is needed for the vehicle to escape Earth's gravitational field? The mass of Earth is 5.97 × kg and


64) Neptune has a radius of 2.48 × m and an escape velocity of 23,300 m/s. What is the mass of Neptune?

A) 5.05 × kgB) 3.03 × kgC) 4.04 × kgD) 1.01 × kgE) 2.02 × kg

65) A 50.0-kg satellite is in a circular orbit about a planet. The potential energy of the orbit is -4.00 × 107 J. What is the speed of the satellite?

A) 1.26 km/s B) 3.22 km/s C) 894 m/s D) 2.11 km/s E) 1.44 m/s

66) The gravitational potential energy of a particle of mass m moving under the influence of a fixed

mass M is given by - , where G is the universal gravitational constant and r is the distance between the masses. What is the total energy of the mass m if it is in a circular orbit about mass M?

59)

60)

61)

62)

63)

64)

65)

66)

A) B) 0 C) D) E)- -

67) At what rate is a 60.0-kg boy using energy when he runs up a flight of stairs 10.0-m high, in 8.00 s?

67)

A) 4.80 kW B) 75.0 W C) 48 W D) 736 W E) 80.0 W

68) A 25-N force is needed to move an object with a constant velocity of 2.0 m/s. What power must be delivered to the object by the force?

A) 50 W B) 5.0 W C) 0.50 W D) 100 W E) 1.0 W

69) A cyclist does work at the rate of 500 W while riding. How much force does her foot push with when she is traveling at 8.0 m/s?

A) 80 N B) 63 N C) 4000 N D) 31 N E) 160 N

70) A 1500-kg car accelerates from 0 to 25 m/s in 7.0 s. What is the average power delivered by the engine? (1 hp = 746 W)

A) 60 hp B) 80 hp C) 90 hp D) 50 hp E) 70 hp

FIGURE 8-10

68)

69)

70)

A 2.0 kg mass is moving along the x axis. The potential energy curve as a function of position is shown in Figure 8-11. The system is conservative. There is no friction.

71) Refer to Figure 8-10. If the speed of the object at the origin is 4.0 m/s, what will be its speed at 7.0 m along the +x-axis?

A) 4.6 m/s B) 4.4 m/s C) 4.1 m/s D) 4.0 m/s E) 10 m/s

72) Refer to Figure 8-10. If the speed of the object at the origin is 4.0 m/s, what will be its speed at 4.0 m along the +x-axis?

A) 10 m/s B) 4.6 m/s C) 4.4 m/s D) 4.0 m/s E) 4.1 m/s

73) A potential energy function is given by U(x) = (3.00 N/m)x - (1.00 N/m3)x3. At what position or positions is the force equal to zero?

A) 3.00 m and -3.00 mB) The force is not zero at any location.C) m and m D) 1.00 m and -1.00 mE) 0.00 m, m and m

74) The potential energy for a certain mass moving in one dimension is given by U(x) = (2.0 J/m3)x3 - (15 J/m2)x2 + (36 J/m)x - 23 J. Find the location(s) where the force on the mass is zero.

A) (3.25 - 0.968i) m, (3.25 + 0.968i) m B) 4.0 m, 5.0 mC) 1.0 m

71)

72)

73)

74)

D) 2.0 m, 3.0 mE) 3.0 m, 5.0 m

75) Consider the potential energy U(x) = (1.0 J/m3)x3 - (8 J/m2)x2 + (15 J/m)x + 8.0 J. Find the turning points of the bound motion when the energy E is 8.0 J.

A) 1.44 m and 5.56 mB)3.0 m and 4.0 mC) 1.0 m and 7.0 mD) 2.0 m and 4.0 mE)3.0 m and 5.0 m

76) The potential energy of a particle is given by U(x) = (9 J/m4)x4 - (8 J/m2)x2. At what value of x would the particle be in unstable equilibrium?

75)

76)

A) B) 2/3 m C)m -

m

D) 0 m E) -2/3 m

77) Consider the motion of a 1.00 kg particle that moves with potential energy given by U(x) = -(2.0 J∙m)/x + (4.0 J∙m2)/x2. Suppose the particle is moving with a speed of 30.0 cm/s when it is located at x = 3.00 m. What is the position with the greatest value of x at which the particle comes to rest?

A) 6.73 m B) 8.69 m C) 5.48 m D) 9.21 m E) 7.29 m

78) A 3.00-kg object moves in a potential U(x) = , where A is a positive constant. When the object is located at x = -1.50 m, it has a kinetic energy (2.00 m)A. What is the range of the object's motion?

A) -0.50 m to +0.50 mB) -1.50 m to 1.50 mC) -3.50 m to +3.50 mD) -10.5 m to +10.5 mE) -2.00 m to +2.00 m

FIGURE 8-11

79) Fig. 8-11 shows the potential energy of an object as a function of position. Determine the force as a function of position.

A) F(x) = 2.0 N for -5.0 m < x < -2.0 m0 for -2.0 m < x < 1.0 m1.0 N for 1.0 m < x < 5.0 m

77)

78)

79)

B) F(x) = -2.0 N for -5.0 m < x < -2.0 m0 for -2.0 m < x < 1.0 m-1.0 N for 1.0 m < x < 5.0 m

C) F(x) = (-2.0 N)x for -5.0 m < x < -2.0 m0 for -2.0 m < x < 1.0 m (-1.0 N)x for 1.0 m < x < 5.0 m

D) F(x) = (-1.0 N)x2 for -5.0 m < x < -2.0 m(-1.0 N)x for -2.0 m < x < 1.0 m (-0.50 N)x2 for 1.0 m < x < 5.0 m

E) The force cannot be determined from the information presented in the graph.

80) At what speed must a 150-kg football player be moving to have the same momentum as a 15.0-g bullet traveling at 300 m/s?

A) 3.00 cm/s B) 3.00 m/s C) 10.0 m/s D) 30.0 m/s E) 1.00 m/s

81) A golf club exerts an average force of 1000 N on a 0.045-kg golf ball which is initially at rest. The club is in contact with the ball for 1.8 ms. What is the speed of the golf ball as it leaves the tee?


82) A 0.140-kg baseball is dropped and reaches a speed of 1.20 m/s just before it hits the ground. It rebounds with a speed of 1.00 m/s. What is the change of the ball's momentum?

A) 0.308 kg∙m/s upwardsB)0.0280 kg∙m/s upwardsC) 0 kg∙m/sD) 0.0280 kg∙m/s downwardsE)0.308 kg∙m/s downwards

83) Two air track carts move along an air track towards each other. Cart A has a mass of 450 g and moves toward the right with a speed of 0.850 m/s and air track cart B has a mass of 300 g and moves toward the left with a speed of 1.12 m/s. What is the total momentum of the system?

A) 0.719 kg∙m/s toward the leftB)0.047 kg∙m/s toward the rightC) 0.750 kg∙m/s toward the leftD) 0.719 kg∙m/s toward the rightE)0.750 kg∙m/s toward the right

84) A firecracker breaks up into two pieces, one has a mass of 200 g and flies off along the x-axis with a speed of 82.0 m/s and the second has a mass of 300 g and flies off along the y-axis with a speed of 45.0 m/s. What is the total momentum of the two pieces?

A) 361 kg∙m/s at 0.983° from the x-axisB)21.2 kg∙m/s at 39.5° from the x-axisC) 361 kg∙m/s at 56.3° from the x-axisD) 21.2 kg∙m/s at 56.3° from the x-axisE)93.5 kg∙m/s at 28.8° from the x-axis

80)

81)

82)

83)

84)

85) Two objects are moving in the xy-plane. Object A has a mass of 3.2 kg and has a

velocity = (2.3 + (4.2 and object B has a mass of 2.9 kg and has a velocity

= (-1.8 + (2.7 m/s) . What is the total momentum of the system?

A) (2.1 kg + (21

kg m/s)

B)

85)

(92 kg + (9.4 kg m/s)C) (0.50 kg m/s) + (6.9 kg

m/s) D) (13 kg m/s) + (5.6

kg m/s) E) (4.8 kg m/s) + (3.2 kg m/s)

86)Two objects are moving in the xy-plane. Object A has a mass of 3.5 kg and has a velocity

of

5.3 m/s at an angle of 30° from the x-axis and object B has a mass of 1.9 kg and has a velocity of 6.2 m/s at an angle of 72° from the x-axis. What is the total momentum of the system?

A) 55 kg m/s at an angle of 5.7°B)28 kg m/s at an angle of 46°C) 5.1 kg m/s at an angle of 45°D) 32 kg m/s at an angle of 23°E)11 kg m/s at an angle of 53°

86)

87) Two objects are moving in the xy-plane. No external forces are acting on the

objects. Object A has a mass of 3.2 kg and has a velocity = (2.3 + (4.2 and object B has a mass of

2.9 kg and has a velocity = (-1.8 + (2.7 . Some time later, object A is

seen to have a velocity ' = (1.7 m/s) + (3.5 . What is the velocity of object B at that instant?

A) (3.3 m/s) + (-10 m/s)B) (3.3 m/s) + (10 m/s)C) (-3.3 m/s) + (10 m/s)D) (-1.1 m/s) + (3.5 m/s)E) (1.1 m/s) + (-3.5 m/s)

87)

88) A batter hits a 0.140-kg baseball that was approaching him at 40.0 m/s and, as a result, the ball leaves the bat at 30.0 m/s in the direction of the pitcher. What is the magnitude of the impulse delivered to the baseball?

A) 7.00 Ns B) 9.80 Ns C) 4.90 Ns D) 5.60 Ns E) 1.40 Ns

89) A 0.250-kg rubber ball is dropped from a height of 2.00 m. It hits the floor and rebounds to a height of 1.80 m. What is the magnitude of impulse the floor applies to the ball?

A) 1.33 N∙s B) 0.950 N∙s C) 1.14 N∙s D) 3.05 N∙s E) 0.0804 N∙s

90) During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball?

A) 40.0 N B) 13.3 N C) 16.7 N D) 26.7 N E) 107 N

91) A 1000-kg car is traveling at 20.0 m/s toward the north. During a collision the car receives an impulse of 1.00 × 104 N∙s toward the south. What is the velocity of the car after the impulse is applied to the car?

A) 30.0 m/s north

B)10.0 m/s north

C) 20.0 m/s north

D) -1

0.0 m/s south 88)

89)

90)

91)

E) 0.00 m/s

92) A batter hits a foul ball. The 0.140-kg baseball that was approaching him at 40.0 m/s leaves the bat at 30.0 m/s in a direction perpendicular to the line between the batter and the pitcher. What is the magnitude of the impulse delivered to the baseball?

A) 5.60 Ns B) 7.00 Ns C) 9.80 Ns D) 3.50 Ns E) 1.40 Ns

93) A 65-g handball is dropped to the floor from a height of 1 m, and bounces to a height of 0.80 m. What is the magnitude of the impulse received by the ball from the floor?

A) 0.13 N s B) 0.55 N s C) 0.30 N s D) 0.013 N s E) 0.030 N s

94) Two ice skaters push off against one another starting from a stationary position. The 45-kg skater acquires a speed of 0.375 m/s. What speed does the 60-kg skater acquire?

A) 0.281 m/s B) 0.750 m/s C) 0.500 m/s D) 0 m/s E) 0.375 m/s

95) A 4.00-kg mass and a 9.00-kg mass are being held at rest against a compressed spring on a frictionless surface. When the masses are released, the 4.00-kg mass moves to the east with a speed of 2.00 m/s. What is the velocity of the 9.00-kg mass after the masses are released?

A) 0.888 m/s westB)0.500 m/s westC) 0.500 m/s eastD) 2.00 m/s westE)4.50 m/s west

96) A 2.00-kg mass object traveling east at 20.0 m/s collides with a 3.00-kg mass object traveling west at 10.0 m/s. After the collision, the 2.00-kg mass has a velocity 5.00 m/s to the west. How much kinetic energy was lost during the collision?

A) 0.00 J B) 175 J C) 458 J D) 516 J E) 91.7 J

97) A 0.400-kg ball approaches a very massive wall at 20.0 m/s perpendicular to wall and rebounds with 70.0% of its initial kinetic energy. What is the magnitude of the change in momentum of the wall?

A) 14.7 kg∙m/sB)2.40 kg∙m/sC) 13.6 kg∙m/sD) 0.00 kg∙m/sE)1.31 kg∙m/s

98) A 2.3-kg object traveling at 6.1 m/s collides head-on with a 3.5-kg object traveling in the opposite direction at 4.8 m/s. If the collision is perfectly elastic, what is the final speed of the 2.3-kg object?


99) A 620-g object traveling at 2.1 m/s collides head-on with a 320-g object traveling in the opposite direction at 3.8 m/s. If the collision is perfectly elastic, what is the change in the kinetic energy of the 620-g object?

A) It gains 0.69 J.B) It loses 0.47 J.C) It loses 0.23 J.D) It loses 1.4 J.E)The energy of the object is unchanged.

92)

93)

94)

95)

96)

97)

98)

99)

100) A 3.00-kg object traveling 20.0 m/s west collides with a 5.00-kg mass object traveling 12.0 m/s west. The

collision is perfectly elastic, what is the velocity of the 3.00-kgobject after the collision?

100)_

A) 12.0 m/s eastB)20.0 m/s eastC) 10.0 m/s westD) 8.00 m/s westE)12.0 m/s west

101) Two objects of the same mass move along the same line in opposite directions. The first mass is moving with speed v. The objects collide in a perfectly inelastic collision and move with speed 0.100v in the direction of the velocity of the first mass before the collision. What was the speed of the second mass before the collision?

A) 10.0v B) 0.900v C) 0.00v D) 1.200v E) 0.800v

102) A 1000-kg car is traveling north at 20.0 m/s. A 1500-kg car is traveling north at 36.0 m/s. The 1500-kg collides with the rear of the 1000-kg car and they lock together. Ignoring external forces acting during the collision, what is the velocity of the cars immediately after the collision?

A) 56.0 m/s northB)13.6 m/s southC) 8.00 m/s southD) 29.6 m/s northE)28.0 m/s north

103) A 1000-kg car approaches an intersection traveling north at 20.0 m/s. A 1200-kg car approaches the same intersection traveling east at 22.0 m/s. The two cars collide at the intersection and lock together. Ignoring any external forces that act on the cars during the collision, what is the velocity of the cars immediately after the collision?

A) 21.1 m/s in a direction 47.7° east of northB)29.7 m/s in a direction 47.7° east of northC) 21.1 m/s in a direction 52.8° east of northD) 21.1 m/s in a direction 47.7° west of southE)15.1 m/s in a direction 52.8° east of north

104) A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the table. The initially moving billiard ball deflects 30.0°. What is the speed of the initially stationary billiard ball after the collision?


101)

102)

103)

104)

105) Two automobiles traveling at right angles to each other collide and stick together. Car A has a mass of 1200 kg and had a speed of 25 m/s before the collision. Car B has a mass of 1600 kg. The skid marks show that, immediately after the collision, the wreckage was moving in a direction making an angle of 40° with the original direction of car A. What was the speed of car B before

the collis ion?

105)


106) A particle with a mass of 400 g moving at 2.0 m/s collides elastically with a stationary particle whose mass is 240 g. After the collision, the 400 g mass is moving at 1.5 m/s. Through what angle is its path deflected?

A) 15° B) 35° C) 20° D) 30° E) 25°

107) A neutron with a mass of 1.67 × 10-27 kg traveling east with a kinetic energy of 2.00 × 10-21 J collides perfectly elastically with a helium nucleus with a mass 6.68 × 10-27 kg that is initially at rest. After the collision, the neutron has a kinetic energy 1.80 × 10-21 J. What angle was the neutron deflected during the collision?

A) 38.0° B) 142° C) 32.8° D) 180° E) 117°

108) A plate falls vertically to the floor and breaks up into three pieces, which slide along the floor. Immediately after the impact, a 200-g piece moves along the x-axis with a speed of 2.00 m/s and a 235-g piece moves along the y-axis with a speed of 1.50 m/s. The third piece has a mass of 100g.In what direction does the third piece move?

A) 41.4° from the x-axisB)216.9° from the x-axisC) 39.9° from the x-axisD) 36.9° from the x-axisE)221.4° from the x-axis

109) Three masses are located in the x-y plane as follows: a mass of 6 kg is located at (0 m, 0 m), a mass of 4 kg is located at (3 m, 0 m), and a mass of 2 kg is located at (0 m, 3 m). Where is the center of mass of the system?

A) (1 m, 1 m)B) (1 m, 2 m)C) (0.5 m, 1 m)D) (2 m, 1 m)E) (1 m, 0.5 m)

110) A uniform piece of wire, 20 cm long, is bent in a right angle in the center to give it an L-shape. How far from the bend is the center of mass of the bent wire?


111) A 2.00-m rod of negligible mass connects two small objects. The mass of one object is 1.00 kg and the other is 1.50 kg. How far is the center of mass of this system from the 1.00 kg mass?

A) 0.670 m B) 1.20 m C) 0.800 m D) 1.25 m E) 1.33 m

112) A 2.00-m rod of negligible mass connects two small objects. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance1.80 m from the 1.00-kg mass object. What is the mass of the other object?

A) 0.900 kg B) 9.00 kg C) 3.22 kg D) 4.11 kg E) 0.111 kg

113) A 10.0-kg mass is located at (2.00 + (3.00 . A 15.0-kg mass is located at

(4.00 . A 25-kg mass is located at (2.00 . What is the location of the center of mass of this system?

A) (1.60 m) + (3.20 m)B) (3.20 m) + (3.20 m) C)

106)

107)

108)

109)

110)

111)

112)

113)

(80.0 + (80.0 m)D) (3.20 m) + (1.60 m)E) (1.60 m) + (1.60 m)

114) A 2.00-kg mass is located at (4.00 +(-1.00 . A 1.00-kg mass is located at

(1.00 + (2.00

m) . Where must a 3.00-kg mass be located so that the center of mass of the

system is located at (-1.00 + (1.00 ?A) (-4.00 m) + (-0.600 m)B) (-8.00 m) + (3.20 m)C) (-15.0 m) + (6.00 m)D) (-5.00 m) + (2.00 m)E) (-2.00 m) + (2.00 m)

114)

115) A 320-g air track cart is traveling at 1.25 m/s and a 270-g cart traveling in the opposite direction at 1.33 m/s. What is the speed of the center of mass of the two carts?


116) A 1000-kg helicopter hovers over a forest fire and starts to squirt water downward with a speed of 10 m/s at a rate of 40 kg/s. What is the initial upward acceleration on the helicopter when it first starts to release the water?

A) 5.0 m/ B) 4.0 m/ C) 2.5 m/ D) 0.40 m/ E) 0.25 m/

115)

116)

117) A toy rocket with a mass of 300 g takes off in a vertical direction under the influence of gravity. It burns fuel at the rate of 25 g/s. The exhaust speed of the gases is 80 m/s. What is the speed of the rocket at the end of 10 seconds?


118) A rocket with a mass of 2.0 × 106 kg is designed to take off from the surface of the earth by burning fuel and ejecting it with an exhaust speed of 3500 m/s. What is the minimum rate at which the fuel should be consumed in order to attain liftoff?

A) 1.8 × 103 kg/sB) 1.4 × 103 kg/sC) 18 × 103 kg/sD) 5.6 × 103 kg/sE) 2.8 × 103 kg/s

119) A potter's wheel decelerates from 50 rev/min to 30 rev/min in 5.0 s, with a constant deceleration. What is the magnitude of the deceleration?

A) 38 rad/s2B)0.42 rad/s2C) 20 rad/s2D) 4.0 rad/s2E)25 rad/s2

117)

118)

119)

120) A fan is turned off, and its angular speed decreases from 10.0 rad/s to 6.3 rad/s in 5.0 s. What is themagni

tude of the angular accelerati on of the fan?

120)_

A) 1.16 rad/B) 0.37 rad/C) 0.74 rad/D) 0.86 rad/E) 11.6 rad/

121) How long does it take for a rotating object to speed up from 15.0 to 33.3 rad/s if it has an angular acceleration of 3.45 rad/ ?

A) 4.35 s B) 63.1 s C) 5.30 s D) 9.57 s E) 10.6 s

122) How long does it take a wheel that is rotating at 33.3 rpm to speed up to

78.0 rpm if it has an angular acceleration of 2.15 rad/ ?A) 20.8 s B) 5.20 s C) 4.75 s D) 10.4 s E) 2.18 s

123) A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/ . Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

A) 66.8 rad B) 83.2 rad C) 316 rad D) 948 rad E) 697 rad

124) A wheel rotates through an angle of 13.8 rad as it slows down from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the average angular acceleration of the wheel?

A) 10.9 rad/

B)5.45 rad/

C) 111 rad/D) 22.5 rad/ E) 0.616 rad/

121)

122)

123)

124)

125) A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of Through what angle does the pulley turn in 5.26 s?

A) 22.6 rad B) 113 rad C) 19.3 rad D) 42.6 rad E) 160 rad

126) A flywheel rotating at 640 rev/min is brought to rest with a uniform deceleration of 2.0 rad/s2. How many revolutions does it make before coming to rest?

A) 17 B) 160 C) 360 D) 180 E) 320

127) A wheel rotates through an angle of 320° as it slows down from 78.0 rpm to 22.8 rpm. What is the magnitude of the average angular acceleration of the wheel?

A) 5.48 rad/

B)8.35 rad/C) 6.50 rad/ D)

125)

126)

127)

10.9 rad/E) 2.34 rad/

128) A lathe, initially at rest, accelerates at 0.60 rad/s2 for 10 s, then runs at a constant angular velocity for 20 s, and finally decelerates uniformly for 10 s to come to a complete stop. What is its average angular velocity?

A) 5.0 rad/s B) 4.0 rad/s C) 4.5 rad/s D) 3.0 rad/s E) 3.5 rad/s

129) In an effort to loosen the bolt on the wheel of a car, a man with a mass of 70 kg steps on the end of a 50-cm tire iron which is extending horizontally from the bolt. How much torque is he applying to the bolt?

A) 70 N m B) 140 N m C) 14 N m D) 35 N m E) 340 N m

130) A wrench is acting on a nut. The length of the wrench lies directly to the east of the nut. A force 150 N acts on the wrench at a position 15.0 cm from the center of the nut in a direction 30.0° north of east. What is the torque about the center of the nut?

A) 2250 N∙m B) 1949 N∙m C) 22.5 N∙m D) 11.3 N∙m E) 19.5 N∙m

131) A man is holding an 8.00-kg vacuum cleaner at arm's length, a distance of 0.550 m from his shoulder. What is the torque on the shoulder joint if the arm is horizontal?

A) 43.2 Nm B) 4.40 Nm C) 0.242 Nm D) 0 Nm E) 14.5 Nm

132) A man is holding an 8.00-kg vacuum cleaner at arm's length, a distance of 0.550 m from his shoulder. What is the torque on the shoulder joint if the arm is held at 30.0° below the horizontal?

A) 21.6 Nm B) 2.20 Nm C) 4.40 Nm D) 37.4 Nm E) 12.6 Nm

133) A two-dimensional object placed in the xy-plane has three forces acting on it: a force of 3.0 N along the x-axis acting at a point (3 m, 4 m); A force of 2.0 N along the y-axis acting at (-2 m, 5 m); and a force of 5 N in the negative x direction acting at (-2 m, -3 m). What is the net torque about the point (-1 m, 1 m)?

A) 3 N m counterclockwiseB)31 N m clockwiseC) 7 N m counterclockwiseD) 23 N m clockwiseE)7 N m clockwise

134) A person pushes on a doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is located 0.800 m from axis of the hinges of the door. The door begins to rotate with an angular acceleration of 2.00 rad/s2. What is the moment of inertia of the door about the hinges?

A) 2.00 kg∙m2B) 8.00 kg∙m2C) 6.40 kg∙m2D) 12.5 kg∙m2E) 1.00 kg∙m2

128)

129)

130)

131)

132)

133)

134)

135) A person pushes on a doorknob with a force of 5.00 N. The direction of the force is at an angle

2.00

What

of 20.0° from the perpendicular to the surface of the door. The doorknob is located 0.800 m from axis of the hinges of the door. The door begins to rotate with an angular acceleration of

rad/s is the2.

mome nt of

inertia of the door about the hinges?

135)_


136) A horizontal 2.00-m long, 5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam, a 200-N forces pushes downward. At the west end of the beam, a 200-N force pushed upward. What is the angular acceleration of the beam?

A) 1.33 × 102 rad/s2 northB)1.33 × 102 rad/s2 southC) zeroD) 240 rad/s2 southE)240 rad/s2 north

137) In a lab experiment, a student brings up the rotational speed of a rotational motion apparatus to30.0 rpm. She then allows the apparatus to slow down on its own, and counts 240 revolutionsbefore the apparatus comes to a stop. The moment of inertia of the flywheel is 0.0850 kg∙

. What is the retarding torque on the flywheel?A) 0.000278 NmB) 0.159 Nm C) 0.0787NmD) 0.0000136 NmE) 0.0425 Nm

138) A string is wrapped around a pulley with a radius of 2.0 cm. The pulley is initially at rest. A constant force of 50 N is applied to the string, causing the pulley to rotate and the string to unwind. If the string unwinds 1.2 m in 4.9 s, what is the moment of inertia of the pulley?

A) 0.20 kg∙m2B) 14 kg∙m2C) 17 kg∙m2 D) 0.017 kg∙m2 E) 0.17 kg∙m2

139) A car has a mass of 930 kg has wheels with a radius of 35 cm, and the distance between the axles is 3.1 m. The coefficient of static friction between the tires and the road is 0.52. It is equipped with anti-lock brakes so that the tires do not slide when it is braking. If the weight of the car is supported equally by the four tires, what is the total torque on the tires exerted by the forces between the tires and the horizontal road when there is maximum braking, i.e. when the tires are about to slip?

A) 1.2 × 104 N mB) 1.4 × 104 N mC) 1.6 × 102 N m

D) 1.2 × 102 N mE) 1.7 × 103 N m

136)

137)

138)

139)

140) What is the rotational inertia (moment of inertia) of a 12-kg uniform rod, 0.30 m long, rotating about an axis perpendicular to the rod and passing through the center of the rod?


141) A long, thin rod of uniform cross section and length L has a density that depends on position along the bar. The linear density of the rod is given as A(1 - x/L) + B, where L is the distance from the left end of the rod. Determine the moment of inertia of the rod about an axis perpendicular to the rod that passes through the left end of the rod.

A) (A/4 - B/3)L3 B) (A/12 + B/3)L3C) (-5A/4 + 2B/3)L3 D) (A/4 + 2B/3)L2 E) (-A/4 + B/3)L3

142) A 10.0-kg rod has a varying linear density that is symmetric about the midpoint of the rod. The moment of inertia about an axis perpendicular to the rod that passes through the rod 30.0 cm from its midpoint is 5.00 kg∙m2. What is the moment of inertia about an axis perpendicular to the rod that passes through the rod 20.0 cm from its midpoint?

A) 4.90 kg∙m2B) 5.10 kg∙m2C) 4.50 kg∙m2D) 7.50 kg∙m2E) Answer depends on whether the new axis is on the same side of the

midpoint as the 30.0 cm distant axis or if its on the opposite side of the midpoint.

143) A hollow sphere has a mass of 15 kg, an inner radius of 12 cm and an outer radius of 18 cm. What is the rotational inertia (moment of inertia) of the sphere about an axis passing through its center?


144) A piece of thin wire of mass m and length 3a is bent into an equilateral triangle. Find the rotational inertia (moment of inertia) of the wire when it is rotating about an axis perpendicular to the plane of the triangle and passing through one of its vertices.

140)

141)

142)

143)

144)

A)ma2

B)ma2

C)ma2

D)ma2

E)ma2

145) Determine the moment of inertia of an equilateral triangular plate of mass M and sides L about an axis perpendicular to the plate that passes through one vertex of the triangle.

A)

ML

2/4 B) 3ML2/8 C) 3ML2/4 D) ML2/2 E)

5ML2/12

145)

146) A thin hoop with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 3.5 rad/s. What is its kinetic energy?

A) 0.18 J B) 0.96 J C) 0.53 J D) 1.05 J E) 0.092 J

147) A solid cylinder with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 3.5 rad/s. What is its kinetic energy?

A) 0.092 J B) 0.18 J C) 0.53 J D) 0.96 J E) 1.05 J

148) The moment of inertia of a uniform rod (about its center) is given by I = M /12. What is the kinetic energy of a 120-cm rod with a mass of 450 g rotating about its center at 3.60 rad/s?

A) 2.10 J B) 0.960 J C) 0.350 J D) 4.20 J E) 0.700 J

149) A uniform solid sphere of mass M and radius R rotates with an angular speed ω. What must be the angular speed of a uniform solid cylinder of mass M, radius R, and height 2R that has the same rotational kinetic energy of the sphere?

A) B) 4ω/5 C) 2ω/5 D) E) ω

150) A car is traveling at 20.0 m/s on tires with a diameter of 70.0 cm. The car slows to a rest after traveling 300.0 m. If the tires rolled without slipping, what was the magnitude of the average angular acceleration of the tires during the time the car slowed to a rest?

A) 1.33 rad/s2B)1.90 rad/s2 C) 0.667 rad/s2D) 1.67 rad/s2 E) 0.952 rad/s2

151) A thin cylindrical shell is released from rest and rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. How long does it take it to travel 3.1 m?

A) 1.8 s B) 2.1 s C) 1.6 s D) 1.4 s E) 1.1 s

152) A homogeneous cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18° to the horizontal. How fast is it moving after it has rolled 2.2 m down the plane?


153) A mass M uniform solid cylinder of radius R and a mass M thin uniform spherical shell of radius R roll without slipping. If both objects have the same kinetic energy, what is the ratio of the speed of the cylinder to the speed of the spherical shell?

A) 1/3 B) /2 C) 4/3 D) E) 4/

146)

147)

148)

149)

150)

151)

152)

153)

154) A solid disk is released from rest and rolls without slipping down an inclined plane that makes an angle of 25.0° with the horizontal. What is the speed of the disk after it has rolled 3.00 m, measured along the plane?


155) A solid sphere is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.00 m up the ramp?


156) A hoop is rolling without slipping along a horiz

ontal surface with a speed of 4.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop

154)

155)

after rolled it has3.00 m

up the ramp?

156)_


157) A hoop is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts down a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m down the ramp?


FIGURE 10-3

158) Fig. 10-3 illustrates a simplified roller bearing. The inner cylinder has a radius of 1.0 cm and is stationary. The outer hollow cylinder has a radius of 1.2 cm and is rotating at 8.0 rpm. Between the two cylinders are several small cylinders with a radius of 0.10 cm, which roll without slipping on both the inner and outer cylinders. Only one of these cylinders is shown in the figure. What is the angular speed of the small cylinders?

A) 48 rpm B) 36 rpm C) 50 rpm D) 10 rpm E) 12 rpm

159) Fig. 10-3 illustrates a simplified roller bearing. The outer hollow cylinder has a radius of 1.2 cm and is stationary. The inner cylinder has a radius of 1.0 cm and is rotating at 12 rpm. Between the two cylinders are several small cylinders with a radius of 0.10 cm, which roll without slipping on both the inner and outer cylinders. Only one of these cylinders is shown in the figure. What is the angular speed of the small cylinders?

A) 20 rpm B) 10 rpm C) 12 rpm D) 60 rpm E) 62 rpm

160) Fig. 10-3 illustrates a simplified roller bearing. The outer hollow cylinder has a radius of 1.20 cm and is stationary. The inner cylinder has a radius of 1.00 cm and is rotating at 9.00 rpm. Between the two cylinders are several small cylinders with a radius of 0.100 cm, which roll without slipping on both the inner and outer cylinders. Only one of these cylinders is shown in the figure. How long does it take a small cylinder to complete a full revolution around the inner cylinder?

A) 14.7 s B) 1.38 s C) 5.64 s D) 0.542 s E) 6.00 s

161) A spool whose inner core has a radius of 1.00 cm and whose end caps have a radius of 1.50 cm has a string tightly wound around the inner core. The spool is free to roll without slipping on a horizontal surface. If the string unwinds horizontally from the bottom of the core with a constant speed of 25.0 cm/s, what is the speed of the spool?

A) 75.0 cm/s B) 15.0 cm/s C) 37.5 cm/s D) 5.00 cm/s E) 25.0 cm/s

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

157)

158)

159)

160)

161)

162) A flywheel with a moment of inertia 6.00 × 106 kg∙m2 is spinning with an angular speed of 120 rev/s about a vertical axis while it sits at the north pole. The disk is turning counterclockwise when viewed from above. The disk is brought to a rest. Treat the

eart uniformh as sphere with a a

mass 5.976 ×

-

1024 kg and a radius6.374 × 106 m. (a) What will be the magnitude of the change in angular moment um of the earth? (b)What will be the change in length of a day on Earth?

162)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.163) An ice skater has a moment of inertia of 5.0 kg∙m2 when her arms are

outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to 2.0 kg∙m2, how fast will she be spinning?

A) 7.5 rps B) 3.3 rps C) 8.4 rps D) 10 rps E) 2.0 rps

164) A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of If the arms are pulled in so the moment of inertia decreases to 1.80 kg∙m2, what is the final angular speed?


163)

164)

165) 165) What is the vector product of = 2.00 + 3.00 + 1.00 and = 1.00 - 3.00 - 2.00 ?

A) -3.00 + 5.00

- 9.00

B) -4.00

+ 3.00

- 1.00

C) -5.00

+ 2.00

- 6.00

D) -9.00 - 3.00 - 3.00E) 2.00 -9.00

2.00

166) What is the vector product of = 5.00 + 3.00 and = -2.00 + 4.00 ?166)

A) 26.0

B) 20.0 - 6.00 C) -10.0 + 12.00 D) 26.0E) 20.0 + 6.00

167) 167) What is the vector product of = (4- 3 - 5 ) and = (5- 4 + 2 )?

A) 22B) (20 +12 - 10 )C) (-26 - 33 - 1 )D) (9 - 7 - 3 )E) (14 - 17 - 1 )

168) What is the magnitude of the vector product of a vector of magnitude 20.0 pointing east and a vector of magnitude 30.0 pointing 30.0° north of east?

A) 600 B) 340 C) 300 D) 520 E) 470

169)A force of = 3.00 N + -2.00 N acts at a location = 1.00 m + 2.00 m on an object. What isthe torque that this force applies about an axis through the origin perpendicular to

the xy plane? A) 7.00 N∙mB) 5.00 N∙mC) -3.00 N∙mD) -1.00 N∙mE) -8.00 N∙m

170)A force at = 4.00 N - 3.00 N is applied to an object at position = 2.00 m

+ 3.00 m .What is the torque about the

origin? A) -18.0 N∙mB) 17.0 N∙mC) 8.00 N∙m+ 9.00 N∙mD) 8.00 N∙m- 9.00 N∙mE) -1.00 N∙m

171)What is the torque about the origin on a particle located at = (3 + 4 - 2 ) m exerted by a

force

A) (8

B)(8C) (8D) (8E) (16 - 19 - 26 ) N m

168)

169)

170)

171)

= (5 - 2 + 3 ) N?

+ 2 + 1 ) N m

- 2 + 1 ) N m

- 19

- 26

) N m

172)A 2.00-kg mass is located at = 2.00 m + 3.00 m and has velocity

= 4.00 m/s - 1.00 m/s

. What is the angular momentum of the

mass? A) -28.0 kg∙m2/sB) 10.0 kg∙m2/sC) 10.0 kg∙m2/sD) 16.0 kg∙m2/s -6.00 kg∙m2/s E) 20.0 kg∙m2/s

172)

173) What is the angular momentum about the origin of a particle with a

mass of 500 g when it is located at = (4 + 3 - 2 ) m and moving at

= (5 - 2 + 4 ) m/s?A) (24 - 6 - 8 ) kg∙m2/sB) (8 + 14 - 13 ) kg∙m2/sC) (12 - 3 - 4 ) kg∙m2/sD) (4 - 13 - 11.5 ) kg∙m2/sE) (10 + 1 + 2 ) kg∙m2/s

174) A bicycle is traveling north at 5.0 m/s. The mass of the wheel, 2.0 kg, is uniformly distributed along the rim, which has a radius of 20 cm. What are the magnitude and direction of the angular momentum of the wheel about its axle?

A) 2.0 kg∙m2/s towards the eastB) 2.0 kg∙m2/s towards the westC) 5.0 kg∙m2/s vertically upwardsD) 5.0 kg∙m2/s towards the eastE) 5.0 kg∙m2/s towards the west

175)The position vector of an object of mass 0.50 kg subject to a constant force is given by =(at2+bt) + (ct2+dt) + (et2+ft) , where a = 2.0 m/s2, b = 3.0 m/s, c = 2.5

m/s2, d = -2.0 m/s, e =1.0 m/s2, and f = 4.0 m/s. What is the angular momentum of the object about the origin at t = 2.0 s?

A) (25 - 14 + 20 ) kg∙m2/sB) (-24

+ 10 + 23 ) kg∙m2/s

C) (25 + 14

+ 20 ) kg∙m2/s

D) (24 + 122

+ 23 ) kg∙m2/s

E) (24 - 122 - 89 ) kg∙m2/s

176) A horizontal, 2.00 m long, 3.00 kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam, a 200 N force pushes downward. At the west end of the beam, a 200 N force pushed upward.

What is the torque about the center of mass of the beam?

A) 400 N∙m north

B) 800 N∙m north

C) 400 N∙m south

173)

174)

175)

176)

D) zeroE) 800 N∙m south

177) A horizontal 2.00-m long, 5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam, a 200-N forces pushes downward. At the west end of the beam, a 200-N force pushed upward. What is the angular acceleration of the beam?

A) 1.33 × 102 rad/s2 southB) 1.33 × 102 rad/s2 northC) zeroD) 240 rad/s2 northE) 240 rad/s2 south

178) The boom of a crane is 20 m long and is inclined 20° from the horizontal. A bucket of cement with a mass of 3000 kg is suspended from the upper end of the boom. What is the torque acting on the point where the boom is attached to the crane?

A) 3.5 × 105 N mB) 2.0 × 105 N mC) 5.5 × 105 N mD) 2.0 × 104 N mE) 4.5 × 105 N m

179) An object is rotating with an angular momentum of magnitude 20.0 kg∙m2/s in a direction directly east. A torque of magnitude 10.0 N∙m acts in a direction 30° north of east acts on the object for 5.00 s. What is the angular momentum after the torque has acted?

A) 45.0 kg∙m2/s, 51.3° north of eastB) 63.3 kg∙m2/s eastC) 68.1 kg∙m2/s, 21.5° north of eastD) 25.0 kg∙m2/s, 51.3° north of eastE) 32.0 kg∙m2/s, 51.3° north of east

180) A uniform 2.00-kg circular disk of radius 20.0 cm is rotating clockwise about an axis through its center with an angular speed 30.0 revolutions per second. A second uniform 1.50-kg circular disk of radius 15.0 cm that is not rotating is dropped onto the first disk so that the axis of rotation of the first disk passes through the center of the second disk. What is the final angular speed of the two disks when they are rotating together?

A) 21.1 revolutions per secondB) 17.1 revolutions per secondC) 12.7 revolutions per secondD) 16.9 revolutions per secondE) 19.2 revolutions per second

181) A 40.0-kg child running at a speed 3.00 m/s jumps on a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round which has a 600 kg∙m2 moment of inertia about its axis of rotation as she is running. What is the angular speed of the merry-go-round after the child jumps on it?

A) 0.261 rad/sB) 0.788 rad/sC) 3.14 rev/sD) 2.00 rad/s

177)

178)

179)

180)

181)

E) 6.28 rev/s

182) A playground merry-go-round with a radius of 2.0 m and a rotational inertia of 100 kg m2 is rotating at 3.0 rad/s. A child with a mass of 22 kg jumps onto the edge of the merry-go-round, traveling radially inward. What is the new angular speed of the merry-go-round?


183) A playground merry-go-round with a radius of 1.8 m and a rotational inertia of 120 kg m2 is stationary. A child with a mass of 25 kg gets on and walks around the edge of themerry-go-round. How many revolutions around the merry-go-round must the child make in order for the merry-go-round to make one full revolution?

A) 2.5 revolutionsB) 1.0 revolutionsC) 3.0 revolutionsD) 1.5 revolutionsE) 2.0 revolutions

184) A 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg∙ is rotating freely with an angular speed of 1.0 rad/s. Two people, each having a mass of 60 kg are standing right outside the edge of the merry-go-round and step on it with negligible speed. What is the angular speed of the merry-go-round right after the two people have stepped on?


185) A 2.00-kg sphere is rotating about an axis through its center at 40.0 rev/s with the angular velocity in the +z direction. A torque 10.0 N∙m acts on the sphere about the center of the sphere in the +x direction. What is the rate of change of the angular momentum of the sphere?

A) -20.0 kg∙m2/s2B) 10.0 kg∙m2/s2C) 20.0 kg∙m2/s2D) 8.00 kg∙m2/s2E) 80.0 kg∙m2/s2

186) An object is rotating with an angular momentum 4.00 kg∙m2/s while being

acted on by a constant torque 3.00 N∙m . What is the angular speed of precession of the angular velocity of the object?

A) 12.0 rad/sB) 1.33 rad/sC) zeroD) 0.750 rad/sE) It depends on the moment of inertia of the object.

187) A 3.00-m long plank of negligible mass has a 30.0-kg mass at one end and a 40.0-kg mass at the other end. How far from the 30.0-kg mass should a fulcrum be placed so that the plank is balanced?

A) 1.29 m B) 0.750 m C) 2.25 m D) 1.71 m E) 1.50 m

188) A 2.00-m long uniform beam of mass 4.00 kg rests on a fulcrum that is 1.20 m from one end when a 3.00-kg mass rests on that end and a 8.00-kg mass is placed at another location on the beam. How far from the end at which the 3.00-

kg mass is placed is the location of the 8.00-kg

182)

183)

184)

185)

186)

187)

mass 188)?

A) 1.75 m B) 1.55 m C) 1.65 m D) 1.45 m E) 1.35 m

189) A non-uniform, 80-g, meter stick balances when the support is placed at the 51.0-cm mark. At what location on the stick should a 5.0-g tack be placed so that the stick will balance at the 50.0 cm mark?


190) A meter stick balances at the 50.0-cm mark. If a mass of 50.0 g is placed at the 90.0-cm mark, the stick balances at the 61.3-cm mark. What is the mass of the meter stick?

A) 127 g B) 32.6 g C) 178 g D) 73.4 g E) 89.7 g

191) A 30.0-kg child sits on one end of a long uniform beam with a mass 20.0 kg and a 40.0-kg child sits on the other end. The beam balances when a fulcrum is placed below the beam a distance1.10 m from the 30.0-kg child. How long is the beam?

A) 2.20 m B) 2.07 m C) 1.93 m D) 1.98 m E) 2.12 m

192) A seesaw made of a plank of mass 10.0 kg and length 3.00 m is balanced on a fulcrum 1.00 m from one end of the plank. A 20.0-kg mass rests on the end of the plank nearest the fulcrum. What mass must be on the other end if the plank remains balanced?

A) 7.50 kg B) -10.0 kg C) 10.0 kg D) 5.00 kg E) 6.67 kg

193) Two children are carrying a 2.00-m long uniform level board with a mass 5.00 kg, each supporting one end of the board. A 1.00-kg book is resting on the board a distance 1.20 m from one end of the board. What is the force applied by the child that is closer to the book to support the board?

A) 29.4 N upwardB) 29.4 N downwardC) 3.10 N upwardD) 58.9 N upwardE) 30.4 N upward

194) Two people are lifting a 2.0-m wide, 80-kg, office desk by the ends. One side is heavier than the other, and it is found that the person exerting the larger force is exerting a vertical force of 500 N. How far from that person is the center of mass of the desk?

A) 1.0 m B) 0.73 m C) 0.58 m D) 1.3 m E) 1.4 m

195) A 25-kg wooden sign 3.0-m long by 2.2-m high is supported by two nails along its left edge, one at the bottom of the sign and the other at the top. The nails are on the same vertical line. Find the horizontal component of the force exerted by the upper nail.

A) 170 N B) 280 N C) 360 N D) 120 N E) 250 N

FIGURE 12-7

189)

190)

191)

192)

193)

194)

195)

196) Assuming the lower arm has a mass of 2.8 kg and its CG is 12 cm from the elbow-joint pivot, how much force must the extensor muscle in the upper arm exert on the lower arm to hold a 7.5 kg shot put (Fig. 12-7)?

A) 1000 N B) 750 N C) 100 N D) 500 N E) 1500 N

197) A uniform beam with a mass of 120 kg and a length of 5.0 m rests on two supports, one at the left edge and one 3.0 m from the left edge. How close to the right edge can a 68-kg person walk along the beam without causing it to tip over?

A) 0.50 m B) 1.6 m C) 0.88 m D) 1.5 m E) 1.8 m

198) A 5.0-m long, 12-kg, ladder rests against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. The coefficient of static friction between the floor and the ladder is 0.28. What distance, measured along the ladder from the bottom, can a 60-kg person climb before the ladder starts to slip?

A) 1.3 m B) 4.0 m C) 3.7 m D) 3.3 m E) 1.7 m

FIGURE 12-8

199) A stepladder consists of two halves, hinged at the top, and connected by a tie rod which keeps the two halves from spreading apart. In this particular instance, the two halves are 2.50 m long, the tie rod is connected to the center of each half and is 70.0 cm long. An 800-N person stands 3/5 of the way up the stepladder, as shown in Figure 12-8. Neglecting the weight of the ladder, and assuming that the ladder is resting on a smooth floor, what is the tension in the tie rod? Note: to solve this problem you must "cut" the ladder in half and consider the equilibrium of forces and torques acting on each half of the ladder.

A) 280 N B) 360 N C) 560 N D) 240 N E) 140 N

196)

197)

198)

199)

200) Two identical ladders are 3.0 m long and weigh 600 N each. They are connected by a hinge at the

sym

c "A"

top and are held together by a horizontal rope, 1.0 m above the smooth floor forming a

metriarrang

ement. The angle between the ladders is 60° and both ladders have their center of gravity at their midpoint. What is the tension in the rope?

200)_

A) 300 N B) 280 N C) 260 N D) 240 N E) 220 N

201) The Leaning Tower of Pisa is 55 m tall and about 7.0 m in diameter. The top is 4.5 m off center. How much farther can it lean before it becomes unstable?

A) 1.5 m B) 4.5 m C) 3.5 m D) 0.5 m E) 2.5 m

202) A 120-kg refrigerator, 2.00 m tall and 85.0 cm wide has its center of mass at its geometrical center. You are attempting to slide it along the floor by pushing horizontally on the side of the refrigerator. The coefficient of static friction between the floor and the refrigerator is 0.300. Depending on where you push, the refrigerator may start to tip over before it starts to slide along the floor. What is the highest distance above the floor that you can push the refrigerator so that it won't tip before it begins to slide?

A) 1.00 m B) 1.63 m C) 1.21 m D) 0.710 m E) 1.42 m

203) A truck is carrying a 120-kg refrigerator, which is 2.20 m tall and 85.0 cm wide has its center of mass at its geometrical center. The refrigerator is facing sideways and a short strip on the bed of the truck keeps the refrigerator from sliding. What is the maximum acceleration that the truck can have before the refrigerator begins to tip over?

A) 3.79 m/ B) 4.17 m/ C) 1.90 m/ D) 8.34 m/ E) 7.58 m/

201)

202)

203)

204) The wheelbase on a truck is 2.4 m wide and the truck's center of mass is located along the vertical centerline of the truck and 2.0 m above the bottom of the tires. The truck is going around a banked turn, when it is forced to stop. What is the maximum slope that the bank can have such that the truck will not tip over?

A) 26° B) 39° C) 21° D) 34° E) 31°

FIGURE 12-9

204)

205) A child is trying to stack two uniform wooden blocks, 12 cm in length, so they will protrude as much as possible over the edge of a table, without tipping over, as shown in Fig. 12-9. What is the maximum possible overhang distance?

A) 6 cm B) 5 cm C) 7 cm D) 8 cm E) 9 cm

206) What is the maximum length of steel cable that can hang vertically supported from one end of the cable? The Young's modulus of this steel is 2.10 × 1011 N/m2, the tensile strength of this steel is 7.4 × 108 N/m2, and the density of this steel is

A) 4.22 km B) 9.93 km C) 1.75 km D) 24.8 km E) 456 m

207) A mass of 1000 kg hangs at the end of a steel rod 5.0 m in length. The diameter of the rod is 0.80 cm and Young's modulus for the rod is 210,000 MN/m2. What is the elongation of the rod?


208) A 0.600-mm diameter wire stretches 0.5% of its length when it is stretched with a tension of 20 N. What is the Young's modulus of this wire?

A) 3.54 × 109 N/m2B) 5.66 × 1010 N/m2C) 6.43 × 109 N/m2D) 1.41 × 1010 N/m2E) 2.78 × 109 N/m2

209) A cable is 100-m long and has a cross-sectional area of 1 mm2. A 1000-N force is applied to stretch the cable. The elastic modulus for the cable is 1.0 × 1011 N/m2. How far does it stretch?

A) 0.01 m B) 1.0 m C) 0.10 m D) 10 m E) 0.001 m

210) A steel lift column in a service station is 4.0 m long and 0.20 m in diameter. Young's modulus for steel is 20 × 1010 N/m2. By how much does the column shrink when a 5000-kg truck is on it?

A) 4.7 × 10-7 mB) 8.0 × 10-7 mC) 3.2 × 10-6 mD) 3.1 × 10-5 mE) 7.8 × 10-6 m

211) A steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure is 15 MN/m2. The bulk modulus for steel is 1.6×1011 N/m2. What is the change in the radius of the sphere?

A) 4.2 mm B) 0.063 mm C) 0.19 mm D) 0.42 mm E) 0.021 mm

212) A shear force of 400 N is applied to one face of an aluminum cube with sides of 30 cm. What is the resulting relative displacement? (The shear modulus for aluminum is 2.5 × 1010 N/m2)

205)

206)

207)

208)

209)

210)

211)

212)

A) 4.4 × 10-8 mB) 8.2 × 10-8 mC) 1.9 × 10-8 mD) 2.6 × 10-8 mE) 5.3 × 10-8 m

213) At a depth of about 1030 m in the sea the pressure has increased by 100 atmospheres (to about 107 N/m2). By how much has 1.0 m3 of water been compressed by this pressure? The bulk modulus of water is 2.3 × 109 N/m2.

A) 2.3 × 10-3 m3B) 6.3 × 10-3 m3C) 4.3 × 10-3 m3D) 3.3 × 10-3 m3E) 5.3 × 10-3 m3

214) A brass rod, 4.0 m long and with a cross sectional area of 9.2 × 10-6 m2 is subjected to a tension of6.0 × 103 N/m2. The Young's modulus for brass is 9.0 × 1010 N/m2, and the Poisson ratio is 0.48. By how much does the volume of the rod change?

A) 4.0 × 10-7 m3B) 5.2 × 10-7 m3C) 2.7 × 10-7 m3D) 0.029 m3E) 6.3 × 10-7 m3

215) The tensile strength for a certain steel wire is 3000 MN/m2. What is the maximum load that can be applied to a wire with a diameter of 3.0 mm made of this kind of steel?

A) 85 kN B) 64 kN C) 21 kN D) 9.0 kN E) 42 kN

216) A 55-cm steel rod has a diameter of 30 cm. The compressive strength of steel is 500 × N/m2. What is the compression force that would break the rod?

A) 2.4 × NB) 4.7 × NC) 1.4 × ND) 8.9 × NE) 3.5 × N

217) A solid right circular cylinder of a substance has a radius 10.0 cm and a height 12.0 cm. The mass of the cylinder is 4.00 kg. What is the density of the substance?

A) 1.86 × 103 kg/m3B) 1.33 × 103 kg/m3C) 1.59 × 103 kg/m3D) 1.06 × 103 kg/m3E) 2.12 × 103 kg/m3

218) A 1938-nickel has a diameter of 21.21 mm, a thickness of 1.95 mm, and weighs 0.04905 N. What is its density?

A)

213)

214)

215)

216)

217)

218)

2.31 × 103 kg/m3B) 71.2 × 103 kg/m3C) 9.25 × 103 kg/m3D) 7.26 × 103 kg/m3E) 29.1 × 103 kg/m3

219) A 1959 penny has a diameter of 19.55 mm, a thickness of 1.55 mm, and a mass of What is its density?

A) 1.34 × kg/B) 1.86 × kg/C) 2.68 × kg/D) 5.37 × kg/E) 21.5 × kg/

219)

220) What is the mass of a solid sphere that has a density 15.0 × 103 kg/m3 and a radius 10.0 cm? 220)

A) 15.0 kgB) 4.56 kgC) 3.58 × 106 kgD) 298 kgE)62.8 kg

221) A platinum sphere has a radius of 1.20 cm. The density of platinum is 21.4×103 kg/m3. What is the mass of the sphere?

A) 38.7 g B) 21.4 g C) 155 g D) 37.0 g E) 69.3 g

221)

222) What is the radius of a sphere that has a density 5000 kg/m3 and a mass 6.00 kg?222) A) 1.56 m B) 6.59 cm C) 1.27 m D) 7.22

cm E) 4.98 cm

223) A liquid has a specific gravity of 0.68. What is its density? 223) A) 680 kg/m3 B) 1000 kg/m3 C) 1360 kg/m3 D) 6800 kg/m3

224) How much force acts on one surface of a rectangular bedroom wall that is 2.20 m by 3.20 m when atmospheric pressure is

A) 1.45 × 105 NB) 3.52 × 105 NC) 1.78 × 105 ND) 7.04 × 105 NE) 6.88 × 104 N

225) The deepest point of the Pacific Ocean is 11,033 m, in the Mariana Trench. What is the water pressure at that point? The density of seawater is 1025 kg/m3.

A) 1.11 × 108 PaB) 1.11 × 104 PaC) 2.18 × 105 PaD) 1.13 × 107 PaE) 1.09 × 105 Pa

224)

225)

226) The Aswan High Dam is 111 m high. What is the water pressure at the foot of the dam? 226)

A) 1.09 k PaB) 0.111 k PaC) 111 PaD) 1.09 M PaE) 0.111 M Pa

227) A cubical box, 5.00 cm on each side, is immersed in a fluid. The pressure at the top surface of the box is 594 Pa and the pressure on the bottom surface is 1133 Pa. What is the density of the fluid?

A) 12,000 kg/m3B) 1,000 kg/m3C) 2,340 kg/m3D) 1,100 kg/m3E) 1,220 kg/m3

227)

228) What is the gauge pressure if the absolute pressure is 300 kPa? 228)

A) 150 kPa B) 101 kPa C) 300 kPa D) 199 kPa E) 97 kPa

229) What is the absolute pressure at a distance 5.00 m below the surface of a lake? Assume the density of the water in the lake is 1000 kg/m3.

A) 4.66 × 105 N/m2B) 1.05 × 105 N/m2C) 5.00 × 103 N/m2D) 1.50 × 105 N/m2E) 0.49 × 105 N/m2

230) A basketball player pushes down with a force of 50 N on a

basketball that is inflated to a gauge pressure of What is the diameter of

contact between the ball and the floor?A) 5.6 cm B) 1.7 cm C) 2.1 cm D) 2.8 cm E) 1.4 cm

231) A 100-kg person sits on a 5-kg bicycle. The weight is borne equally by the two wheels of thebicycle. The tires are inflated to a gauge pressure of and are wide. What length of each tire is in contact with the ground?


232) The weight of a 1200-kg car is supported equally by the four tires, which are inflated to the same gauge pressure. What gauge pressure is required so the area of contact of each tire with the roadis

229)

230)

231)

232)

A) 11.6 × PaB) 2.9 × PaC) 2.9 × PaD) 11.6 × PaE) 2.9 × Pa

233) A 12000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal

the

wider

areas, filled with oil and capped at both ends with tight-fitting pistons. The wider arm of

the U-tube has a radius of 18.0 cm and the narrower arm has a radius of The car rests on

pisto arm of n on thethe U-tub

e. The pistons are initially at the same level. What is the initial force that must be applied to the smaller piston in order to start lifting the car? For purposes of this problem, neglect theweight of the pistons.

233)_

A) 2900 N B) 1.20 kN C) 926 N D) 727 N E) 3330 N

234) A 500-N weight sits on the small piston of a hydraulic machine. The small piston has area 2.0 cm2. If the large piston has area 40 cm2, how much weight can the large piston support?

A) 40000 N B) 25 N C) 500 N D) 10000 N E) 1000 N

235) A 13000 N vehicle is to be lifted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm diameter piston to accomplish this?

A) 2600 N B) 520 N C) 5200 N D) 13000 N E) 260 N

236) A 12000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal areas, filled with oil with a density of and capped at both ends with tight-fitting pistons. The wider arm of the U-tube has a radius of and the narrower arm has a radius of The car rests on the piston on the wider arm of the U-tube. The pistons are initially at the same level. What is the force that must be applied to the smaller piston in order to lift the car after it has been raised For purposes of this problem, neglect the weight of the pistons.

A) 1.96 kN B) 3.67 kN C) 1.88 kN D) 1.20 kN E) 0.954 kN

237) A U-tube is open to the atmosphere at both ends. Water is poured into the tube until the water column on the vertical sides of the U is more than 10 cm deep. Then, oil with a density of 950 kg/m3 is poured into one side, until the column of oil is 6.0 cm tall. How much higher is the top surface of the oil on that side of the tube compared with the surface of the water on the other

234)

235)

236)

side ? ofthe tube

237) A) 3.1 cm B) 5.7 cm C) 60 mm D) 2.9 cm E) 3.0 mm

238) A U-tube is open to the atmosphere at both ends. Water is poured into the tube until the waterrises part-way along the straight sides, and then some oil with a density of is poured into one end. This causes the water surface on that side of the tube to go down by

and the surface on the other side to go up by the same amount. How much higher is the top surfaceof the oil on that side of the tube compared with the surface of the water on the other side of thetube?A) 1.1 cm B) 0.96 mm C) 0.44 mm D) 1.2 cm E) 1.2 mm

FIGURE 13-1

239) A reservoir manometer consists of a U-tube in which the two arms have different diameters, as shown in Fig. 13-1. The diameter on the narrow side is and the diameter on the reservoir side is The liquid in the manometer is oil with a density of and the fluids in contact with the oil are gases of negligible density. The dotted line indicates thelevel of the oil when the pressures and are equal. What is the value of h when


FIGURE 13-2

238)

239)

240) The two

water reservoirs shown in Fig. 13-2 are open to the atmosphere. The manometercontamercu

ins ry

with a density of

240)_

What is the differenc e in elevation h if the manomet er reading mis

A) 3.40 m B) 3.15 m C) 1.58 m D) 4.20 m E) 3.75 m

FIGURE 13-3

241) The two water reservoirs shown in Fig. 13-3 are open to the atmosphere. The manometer contains oil with a density of What is the difference in elevation h if the manometer reading m is

A) 0.045 m B) 0.205 m C) 0.115 m D) 0.065 m E) 0.025 m

FIGURE 13-4

241)

242) The U-tube shown in Fig. 13-4 contains mercury with a density of

It is open on one end and the other end is connected to a boiler, which contains water at high pressure. The water from the boiler pushes directly on the mercury column. What is the gauge pressure at point A in the boiler?

A) 441 Pa B) 4.41 kPa C) 4.54 kPa D) 449 Pa E) 128 Pa

243) A board that is 20.0 cm wide, 5.00 cm thick, and 3.00 m long has a density 300 kg/m3. The board is floating partially submerged in water. What fraction of the volume of the board is above the surface of the water?

A) 0.200B) 0.300C) 0.700D) It depends on which edge of the board is vertical.E)zero

244) A board that is 20.0 cm wide, 5.00 cm thick, and 3.00 m long has a density 400 kg/m3. The board is floating partially submerged in water. What minimum mass would need to be set on the board to completely submerge the board?

A) 12.0 kg B) 30.0 kg C) 42.0 kg D) 48.0 kg E) 18.0 kg

245) A rock is suspended from a scale reads 20.0 N. A beaker of water is raised up so the rock is totally submerged in the water. The scale now reads 12.5 N. What is the density of the rock?

A) 3.00 × 103 kg/m3B) 1.60 × 103 kg/m3C) 2.50 × 103 kg/m3D) 2.33 × 103 kg/m3E) 2.67 × 103 kg/m3

246) A person who weighs 550 N empties her lungs as much as possible and is then completely immersed in water while suspended from a harness. Her apparent weight is now What is her density?

A) 1040 kg/B) 1050 kg/C) 56.1 kg/D) 960

kg/ E) 1030 kg/

242)

243)

244)

245)

246)

247) A spar buoy consists of a circular cylinder, which floats with its axis oriented vertically. One such buoy

has a radius of

a height of

and weighs

What portion of it is submerg ed when it is floating in fresh water?

247)_

A) 1.30 m B) 1.25 m C) 1.50 m D) 1.20 m E) 1.35 m

248) A barge is 15.0 m wide and 75.0 m long and has vertical sides. The bottom of the hull is 1.20 m below the water surface. What is the weight of the barge and its cargo, if it is floating in fresh water?

A) 13.2 MN B) 22.6 MN C) 1.35 MN D) 11.3 MN E) 1.13 MN

249) A barge is 10.0 m wide and 60.0 m long and has vertical sides. It is floating in fresh water. A load of 6.00 MN is placed on the barge. How much does its hull sink into the water?

A) 10.2 cm B) 5.00 m C) 10.0 m D) 1.02 m E) 7.21 m

FIGURE 13-5

250) A cylinder, semicircular in cross-section, 10.0 m long and 5.00 m in radius, is completely submerged, with its flat side horizontal and below the water surface, as shown in Fig. 13-5. What is the force on the curved surface of the half-cylinder? Neglect atmospheric pressure.

A)

248)

249)

250)

2.0 × NB) 3.50 × NC) 3.00 × ND) 2.50 × NE) 4.00 × N

251) An incompressible fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is is What is the fluid speed at a location where the diameter has narrowed to


252) A 3.00-m long tube with circular crosssection tapers from a diameter of 10.0 cm at one end down to 4.00 cm at the other end. If an incompressible fluid flows irrotationally through the tube at a speed of 2.00 m/s at the 10.0 cm end, what is the speed of the flow at the 4.00 cm diameter end?


253) Air is flowing through a rocket nozzle. Inside the rocket the air has a density of 5.25 kg/m3 and a speed of 1.20 m/s. The interior diameter of the rocket is 15.0 cm. At the nozzle exit, the diameter is 2.50 cm and the density is 1.29 kg/m3. What is the speed of the air when it leaves the nozzle?

A) 88.0 m/s B) 29.3 m/s C) 45.7 m/s D) 176 m/s E) 123 m/s

254) At position A within a tube containing fluid that is moving with steady laminar flow, the speed of the fluid is 12.0 m/s and the tube has a diameter 12.00 cm. At position B, the speed of the fluid is 18.0 m/s and the tube has a diameter 6.00 cm. What is the ratio of the density of the fluid at position A to the density of the fluid at position B?

A) 3.00 B) 0.167 C) 0.750 D) 0.333 E) 0.375

255) Water is flowing in a drainage channel of rectangular cross-section. The width of the channel is the depth of water is and the speed of the flow is What is the flow rate in

251)

252)

253)

254)

255)

kg/s?A) 2.0 × kg/sB) 3.0 × kg/sC) 2.0 × kg/sD) 3.0 × kg/sE) 3.0 × kg/s

256) A level pipe contains a nonviscous, incompressible fluid with a density 1200 kg/m3 that is flowing irrotationally. At one position within the pipe, the pressure is 300 kPa and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 kPa. What is the speed of the flow at this second position?

A) 16.2 m/s B) 32.9 m/s C) 186 m/s D) 23.8 m/s E) 567 m/s

257) In a section of horizontal pipe with a diameter of 3.00 cm the pressure is 5.21 kPa and water is flowing with a speed of 1.50 m/s. The pipe narrows to 2.50 cm. What is the pressure in the narrower region?

A) 7.50 kPa B) 6.42 kPa C) 5.82 kPa D) 4.61 kPa E) 4.00 kPa

FIGURE 13-6

256)

257)

258) Water flows in the horizontal pipe shown in Fig. 13-6. At A the area is and the speed of the water is At B the area is 16.0 . The fluid in the manometer is mercury, which has a density of

What is the manometer reading h?A) 2.16 cm B) 0.546 cm C) 3.36 cm D) 1.31 cm E) 2.81 cm

259) Water flows in the horizontal pipe shown in Fig. 13-6. At A the diameter is and at B the diameter is The fluid in the manometer is mercury, which has a density of

The manometer reading h is 4.40 cm. What volume of water is flowing through the pipe per second?

A) 0.00560 /sB) 0.186 /sC) 0.372 /sD) 0.0206 /sE) 0.0426 /s

260) A large cylindrical tank of water of radius 12.0 m is filled to a depth of 3.00 m. A spigot on the tank is a 3.00 cm inner diameter pipe that is located 20.0 cm above the bottom of the tank. If the spigot is opened, what is the speed of the water leaving the spigot?


261) Water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir. What is the speed of the water as it comes out of the pipe?


FIGURE 13-7

262) Water flows out of a large reservoir through 5-cm diameter pipe. The pipe connects to a diameter pipe that is open to the atmosphere, as shown in Fig. 13-7. What is the speed of the water in the pipe?


258)

259)

260)

261)

262)

FIGURE 13-8

263) A paint sprayer pumps air through a constriction in a 2.50-cm diameter pipe, as shown in Fig.13-8. The flow causes the pressure in the constricted area to drop and paint rises up the feed tube and enters the air stream. The air stream in the 2.50-cm diameter sections is 5.00 m/s. The density of the air is and the density of the paint is What is the maximum diameter of the constriction that will allow the sprayer to operate?

A) 4.05 mm B) 9.65 mm C) 8.09 mm D) 12.2 mm E) 14.3 mm

264) A parallel plate of area 400 cm2 is dragged over a 0.20 cm thick layer of oil at a speed of 30.0 cm/s. It takes a force 1.20 N applied to the plate to sustain this speed. What is the viscosity of the oil?

A) 0.200 kg/(m∙s)B) 200 kg/(m∙s)C) 6.00 kg/(m∙s)D) 60.0 kg/(m∙s)E) 20.0 kg/(m∙s)

265) Glycerin, with a viscosity of 1.50 Ns/ , is flowing with an average speed of through a tube that has a radius of

and is long. What is the drop in pressure?A) 76.3 kPa B) 45.8 kPa C) 129 kPa D) 72.0 kPa E) 144 kPa

266) Motor oil, with a viscosity of 0.250 Ns/ , is flowing through a tube that has a radius of and is 1.00 m long. The drop in pressure is What is the average speed of the

263)

264)

265)

266)

oil?A) 1.00 m/s B) 1.20 m/s C) 0.900 m/s D) 1.10 m/s E) 0.800 m/s

267) A fluid is flowing with an average speed of 1.50 m/s through a tube that has a radius of and is 18 cm long. The drop in pressure is What is the viscosity of the fluid?

A) 0.00335 Ns/B) 0.0134 Ns/C) 0.00562 Ns/D) 0.0278 Ns/E) 0.00179 Ns/

267)

268) Motor oil, with a viscosity of 0.250 Ns/ , is fl

ow

ing through a tube that has a radius of and is 25.0 cm long. The drop in pressure is 300 kPa. What is the volume of oil flowing

thro ugh the

tube per unit

time? 268)

A) 7.54 /sB) 0.000376 /sC) 4.71 /sD) 0.0253 /sE) 0.00118 /s

269) Suppose that the build-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

A) 46% B) 48% C) 54% D) 52% E) 50%

270) The surface tension of water is 0.073 N/m. How high will water rise in a capillary tube of diameter 1.2 mm?


_

269)

270)

1)C2)E3)A4)A5)B6)A7)A8)D9)A

10) A11) A12) A13) E14) C15) D16) C17) D18) E19) B20) B21) E22) B23) A24) E25) B26) C27) B28) D29) B30) A31) D32) B33) E34) B35) D36) B37) C38) E39) A40) B41) B42) C43) C44) C45) C46) D47) A48) B49) D50) A51) C

52) C53) E54) D55) C56) B57) A58) E59) C60) A61) C62) E63) B64) D65) C66) D67) D68) A69) B70) C71) C72) C73) D74) D75) E76) D77) B78) C79) A80) A81) E82) A83) B84) B85) A86) B87) D88) B89) D90) E91) B92) B93) B94) A95) A96) C97) A98) B99) C

100) C101) E102) D103) E

104) C105) B106) D107) B108) E109) E110) E111) B112) B113) E114) D115) C116) D117) E118) D119) B120) C121) C122) E123) D124) A125) B126) D127) A128) C129) E130) D131) A132) D133) B134) A135) E136) E137) A138) A139) E140) A141) B142) C143) E144) E145) E146) A147) A148) C149) A150) B151) C152) A153) B154) C155) A

156) D157) D158) A159) D160) A161) A162) (a) 4.52 × 109 kg∙m2/s

(b) 5.53 × 10-20 s

163) A164) A165) A166) D167) C168) C169) E170) A171) C172) A173) D174) B175) B176) A177) D178) C179) C180) A181) A182) C183) D184) E185) B186) D187) D188) A189) E190) A191) D192) A193) E194) B195) A196) A197) B198) E199) E200) B201) E202) E203) A204) E205) E206) B

207) C208) D209) B210) D211) B212) E213) C214) B215) C216) E217) D218) D219) D220) E221) C222) B223) A224) D225) A226) D227) D228) D229) D230) D231) C232) C233) C234) D235) B236) A237) E238) B239) E240) B241) A242) B243) C244) E245) E246) A247) A248) A249) D250) E251) C252) B253) D254) E255) E256) D257) E258) A

259) A260) E261) C262) E263) C264) A265) E266) C267) E268) E269) D270) B

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files.transtutors.com€¦ · Web viewExam. Name . MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A constant force of