2017-18 MMSTC AP PHYSICS REVEIW - virt.wcskids.netvirt.wcskids.net/mmstc/staff_websites//mcmillan files/AP Physics/17... · 2017-18 MMSTC AP PHYSICS REVEIW ... 100 m the boat is moving

2017-18 MMSTC AP PHYSICS REVEIW

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1) Which section of the following velocity vs. time graph shows the greatest displacement? 2) Which section of the Velocity vs. time graph above displays a change in direction?

3) Which section of the Velocity vs. time graph above displays the largest acceleration? 4) What is the displacement from 20-30s? 5) A ball is thrown upwards into the air with a velocity v. It lands at the same position it was released. It lands at what time in terms of g ? 6) A ball is thrown upwards into the air with a velocity v. It is airborne for Δt seconds. It lands at the same position it was released. The acceleration of an object at the top of its rise is __. 7) A ball is thrown upwards into the air with a velocity v. It is airborne for Δt seconds. It lands at the same position it was released. The maximum height of the ball is_____. in terms of g ? 8) Describe the displacement and acceleration of a Car with positive velocity slows to a stop. 9) A car and truck stop at an intersection accelerate away from the intersection at the same rate. If the car accelerates twice the time as the truck, the distance the car travels is__ the truck distance. 10) Which of the following velocity equations show constant positive acceleration?

A) v=3t2+1 B) v=-3t2+1 C) v= - 3t+1 D) v=3t+1 E) None of these


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11) Which stage(s) of the following displacement vs. time graphs displays positive acceleration?

12) Sketch the corresponding velocity vs. time graph? 14) Describe the motion of each graph below

15) Which of the following acceleration equations show constant positive velocity? A) a=3t2+2t B) a=3t2+1 C) a= - 3t+1 D) a=3t+1 E) None of these 16) A stone is thrown vertically down from the top of a tall building. The path it follows is __.


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A rock is thrown from the edge of a cliff with a horizontal as shown. P is maximum height; Q is level with the starting point. 17) Describe the horizontal and vertical speeds and acceleration at point P?

18) Describes the horizontal and vertical speeds and acceleration at point Q? 19) A student rolls a ball off the table with at speed of 4m/s. The height of the table is 20m. The range of the projectile is __. 20) A particle moves in a circular path at a constant speed. The acceleration is ___to the speed. 21) Particle moves in a circular path at a constant speed (V) and radius (R). Both the speed and radius are doubled. The centripetal acceleration of the particle__. 22) A brick is thrown horizontally off the edge of a cliff. It hits the ground a 45o angle. The vertical velocity is 20m/s. The initial speed of the particle is __. 23) An object moves in a circular path of radius 2π and a constant speed of 2.0 m/s. the Time required for one revolution is___. 24) Bullet A is fired horizontally for the gun. A bullet B is dropped for the same height. Compare the air time, and vertical and horizontal components of velocity of each bullet. 25) A particle moves in a circular path at a constant speed. How does the direction of the acceleration of the particle compare to the radius?

θ

P

Q


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26) Two projectiles are launched with the same initial speed, from the same location, one at a 30o angle and the other at a 60o angle with the horizontal. How does the respective Ranges (R) and times in the air (T) compare?

27) A boat is able to travel in still water at 15 m/s. It is in a river that has a current of 5 m/s. How long does it take to travel 100 m the boat is moving with the current?

28) A boy rows across a river 20m wide. He can row at about 4 m/s. the river flow at 3 m/s. How long does it take to cross the river? 29) A boy wishes to row across a river with the greatest velocity. He can row at about 2 m/s. the river flow at 1 m/s. Which path below should he choose?

30) Two projectiles are launched with the same initial speed, from the same location, one at a 30o angle and the other at a 60o angle with the horizontal. They land at the same height at which they were launched. How does the respective maximum heights (H) and times in the air (T) compare?

31) You are standing in a bus, facing forward, and you suddenly fall backward. Describe the motion of the bus. 32) An object of mass 100kg is initially at rest on a horizontal frictionless surface. At t=0, a horizontal force of 10N is applied for 1 second and then removed. Describe the motion of the object at t=2s if it is still on the surface. 33) A circus performer of weight (W) is walking on a high wire. How does the The Tension (T) on the wire compare to its weight? 34) A 90 kg physics text book is on a scale in an elevator. The reading on the scale increases when __. List all that apply. 35) Several Forces act on an object that is in equilibrium. Describe the velocity and acceleration of the object? 40) A Block of mass M on a horizontal table is connected to a hanging mass m by a string that passes over a pulley as shown. The acceleration of the blocks is 0.6g. Assume zero friction. The Tension on the String is __.


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41) A 3 N force act on a rock due South. A 4 N force acts on the rock due North. The net force on the rock is ___. 42) A net force F accelerates a mass m with an acceleration a. If the same net force is applied to mass 2m, then the acceleration will be ___. 43) A box of kittens of mass m is thrown straight up. At the top of its path, the magnitude of the net force acting on it is__. 44) A cable pulls an elevator upwards so the elevator is gaining speed. How does the Tension on the cable compare to gravity? 45) A Car crashes into a Truck. The Truck has 5 times the mass of the car. Compare the forces acting on each vehicle, and the acceleration of each vehicle.

46) If the object below has a mass of 2.0kg. What is the acceleration of the object?

47) Compare the Tension on each chain in the diagrams below.

48) A rocket moves through empty space in a straight line with constant speed. It is far from the gravitational effect of any star or planet. Under these conditions, the force that must be applied to the rocket in order to sustain its motion is ___. 49) A golf club hits a golf ball with a force of 2400 N. The golf ball hits the club with a force


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50) Static Friction is always _____ kinetic friction. 51) A skier slides down a hill at and angle of θ at constant speed of 25 m/s. If air resistance is negligible, the coefficient of friction between the skis and the snow is __. 52) The coefficient of static friction between a couch and the carpet μs=0.50. The coefficient of kinetic friction between a couch and the carpet μk=0.30. If you push the couch with just enough force to start it moving the acceleration of the couch will be___. 53) A cat of mass m slides across a table. It slows to a stop with an acceleration of a. The coefficient of friction between the cat and the table is___.

54) A ball of mass M is tied to a string and spun in a horizontal circle at the end of the string. If the speed of the mass doubles, while keeping the radius constant, The tension on the string is___. 55) A race car is traveling around a banked curve at the maximum possible velocity. The direction of the force of friction acting on the car is ___ 56) Which acceleration graph show the correct relationship for an object moving in a circle of radius r, at a constant velocity? 57) A Block of mass M is accelerated horizontally along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. How does the normal force exerted on the block is compare to its weight? 58) When the brakes of an automobile are applied, the road exerts the greatest frictional force is applied when__. 59) An object moves in a circle with a constant speed. If velocity is doubled and the radius is doubled, the centripetal force ___. 60) A box of mass m, slides up a ramp with an angle of θ, and coefficient of kinetic friction of μ. The acceleration of the mass on the way up the ramp is _____the acceleration down the ramp.

a a a a

r r r r


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61) A Block of mass M is pulled at constant speed along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The net force is __. 62) A Block of mass M is pulled at constant speed along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The force of friction is __. 63) A Block of mass M is accelerated horizontally along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. The net force is __. 64) A giant wheel, having a diameter of 40m, is fitted with a cage and platform on which a man of mass m stands. The wheel is rotated in a vertical plane (loop-ity-loop) at such speed that a force exerted by the man on the platform is equal to twice his weight when the cage is at the top of a loop. The net force on the man is___. 65) When a certain spring is stretched by an amount x, it produces a reducing force: F(x) =ax+bx2, where a and b are constants. How much work is done by an external force in stretching the spring an amount D from equilibrium?

66) An Ideal Spring is fixed to wall at one end as shown. A block of Mass M attached to the other end of the spring oscillates with amplitude of A on a frictionless horizontal surface. The maximum speed of the block is v. The force constant of the spring is __.

67) When a block slides a certain distance down an incline the work done by gravity is 300J. What is the work done by gravity as slides the same distance up the incline? 68) A student holds one end of a string in a fixed position. A ball of mass 0.2kg is attached to the other end and moves in a horizontal circle of radius 0.5m at a constant speed of 5.0 m/s. How much work is done on the ball by the string during one revolution? 69) For a particular nonlinear spring, the relationship between magnitude of applied force and displacement from equilibrium (x) is given by the equation F=kx2. What is the amount of work done stretching a spring a distance xo? 70) The velocity of an object changes from -4m/s to +2m/s. The total work done on the object is_. 71) A weightlifter holds a 70 kg weight 2m above his above the ground for time of 7s. Power exerted by the weightlifter is __.


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72) A man pulls a sled along a rough flat surface by applying a consent force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the man is __. 73) A man pulls a sled of mass m along a rough flat surface at a constant speed. by applying a constant force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the normal force is __. 74) A man pulls a sled of mass m along a rough flat surface at a constant speed. by applying a constant force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the friction is __. 75) A block of mass m is at rest on a hill of height h, the block slides down the hill. The maximum speed of the block is__? A) 2gh B) (2gh)1/2 C) gh D) (gh)1/2

E) impossible without knowing mass. 76) The potential energy of a particle is given by U(x)=1+2x. The force acting on the particle when x=1 is __. 77) The Diagram below show a plot of potential energy as a function of x for a particle moving along the x-axis. The points of stable equilibrium are:

78) A particle is released from rest at point B. The velocity is maximum at what point? 79) A particle is released from rest at point G. The What direction will it move? 80) The force at point A is__. 81) A man pulls a sled of mass m along a rough flat surface at a constant speed. by applying a constant force F at an angle of θ above the horizontal. In pulling the sled a distance d, the work done by the normal force is __. 82) When an object loses potential energy, the total work done on the object is__. 83) When an object loses kinetic energy, the total work done on the object is__. 84) When an object moves at a constant velocity, the total work done on the object is__.


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PART B) Answer the following questions on the back of your answer sheet. SHOW YOUR WORK 1) The Position of particle is given by x = t - 9t2 +6 a) What is the average velocity between zero and 2.0 seconds? b) What is the instantaneous velocity at t= 2sec c) When does the particle change directions? d) What is the acceleration of the object when it changes directions? 2) The velocity of a cat is given by the equation v = 10t-9t2 (t=1, d=4) a) Write an equation for the acceleration of the cat. b) Write an equation for the displacement of the cat 3) The acceleration of a mouse is given by the equation (a = 3t—2), at t= 1.0s the velocity of the mouse is v =3 m/s and at a position of d=10 m a) Write an equation for the velocity of the mouse

b) Write an equation for the displacement of the mouse. 4) A hot air balloon is rising at a rate of 5m/s and is 25 m above the ground. A cat is dropped from the balloon.

A) Sketch a distance time graph to represent the motion of the cat. B) How long does it take the cat to reach the ground? C) How fast is it moving when it hits the ground? D) What is the maximum height of the cat above the ground? 5) The motion of a Super Turtle is given by the graph below:

a) Write an equation for the line on

the given graph.

b) What is the change in velocity

from 5s to 10s?

c) Write an equation for the

velocity fo the object.

a (m/s2)

t (s)

25

10

5 10 15

17.5


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6) The road runner is moving at a speed of 10m/s as he approaches a cliff. Waiting on the top of the 30 m cliff is the Wiley Coyote with an anvil to drop on the road runner. How far away should the road runner be when he drops the anvil? Bonus: A super frog is trying to cross a pond. It accelerates at constant rate from rest as it crosses the pond in a time of 8 seconds. During the second 5 seconds it travels 113 m. What is the acceleration of the frog? 7) A bullet is fired horizontally from a distance of 150 m directly toward the bull’s-eye of a dart board. It hits the board 1.8 m below the bulls-eye. What was the initial velocity of the bullet? 8) Two rookie spies are tested for gravitational tolerance. They are placed in a capsule that spins with a radius of 7.00 m. At the point they feel 5.0g’s, (5.0 the acceleration of gravity) a) What is the velocity of the spies at this point?

b) They are gaining speed at rate of 7.0 m/s2.What is the total acceleration of the spies at this point?

9) A baseball is hit with a velocity of 35 m/s at an angle of 40o above the horizontal. It hits a fan in the stands a horizontal distance of 120 meters away.

a) How much time did the fan have to react? b) What is the height of the Baseball at the time it hits the fan? c) Was it rising or falling? Explain how you decided.

10) An Acorn Rolls off the roof of a house with a speed of 9.00 m/s. The roof has an angle of 30o BELOW the Horizontal, and the edge of the roof is 10.0 m above the ground. A) How long is the acorn in the air? B) How far from the edge of the roof does the acorn land? 11) The GRAVITRON at the corner carnival has a radius of 4.0 m and a centripetal acceleration of 6.5 m/s2. What is its period of rotation? (How much time does it take to complete one rotation?) 12) A water balloon is flung a maximum range of 35.0 m from the launch position. What is the initial velocity of the balloon? 13) A can of soda is tossed across the room to buddy. The ceiling has a height of H, and the can is toss with a speed √(4gH). a) What is the maximum angle from the horizontal the can is able to be tossed? b) What is the maximum range of the can of soda? BONUS: At what angle does the range of a projectile equal twice the height? 14) A 650 kg automobile accelerates at a constant rate for 6.0 seconds over a distance of 850 m.

a) What is the net force acting on the car? b) What is the net force when the car is moving at constant speed of 50 m/s for

12s?


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15) An upward buoyant of force of 1250N acts on an object of mass M immersed in viscous medium. A) Draw a force Diagram of the system B) If the mass of object is M=150kg, what is the acceleration of the object? C) If the mass of object is M=100kg, what is the acceleration of the object? 16) The position of a Cannonball is given by the equation x = -15t3 +20t +12 a) What is the net force on the cannonball at time t= 0.0s b) What is the net force on the cannonball when the velocity is zero? 17) Two masses hang over a pulley as shown in the diagram below.

A) Draw a force diagram of each block B) What is the acceleration of the system C) What is the tension on the string

18) An 50 kg would be water skier is being pulled horizontally through the water with a constant force 150 N. The drag force exerted by the fluid is f = 15v. a) Draw a force diagram of the skier being pulled through the water? b) What is the initial acceleration of the skier? c) What is the maximum velocity of the skier?

19) In the diagram above, Mass A = 5kg, Mass B = 3kg. a) Draw a force diagram of each block. b) What is the acceleration of Block B? c) What is the tension on the string?

20) The 10kg sign is held in the air with two chains that make an angle of 30o to the vertical. A) Draw a Force Diagram of the sign. B) What is the tension on each chain?


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21) A worker pushes a 50 kg crate with a constant velocity using a Force 125N. a) Draw a force diagram of the crate. b) Determine the Force of Friction on the crate. c) Determine the Coefficient of Friction on the crate.

22) A 50 kg snowboarder falls over and starts to slide on his face down a ski hill that has a slope of 15o. The Coefficient of Friction between the snowboarders face and the snow is 0.50.

a) Draw a force diagram of the snowboarder. b) Find the acceleration of the snowboarder. c) If the snowboarder had an initial speed of 5.0 m/s, in what distance will he stop?

23) A kid pulls his little brother on a sled. (combined mass of 40kg). He pulls on a rope with force of 50N that makes an angle of 40o to the horizontal. The coefficient of kinetic friction is μ=0.25.

a) Draw a force diagram of the sled. b) What is the acceleration of the brother on the sled?

24) A 75 pilot flies in vertical loops with a constant velocity of 40 m/s and a radius of 100m a) Draw a force diagram of the pilot at the bottom of the loop. b) What is the normal force acting on the pilot at the bottom of the loop? 25) A greyhound bus hit a zombie crossing the expressway. The zombie is able to stick to the vertical window on the front of the bus due to the acceleration of the terrified bus driver and static friction. The bus is accelerating at 5.5 m/s2

a) Draw a force diagram of the zombie on the front of the bus? b) What is the Minimum coefficient of static friction between the bus and the zombie?

26) The # 20 Home Depot Toyota makes at turn with a radius of 100m on a banked curve of 37o. µ=1.3,

a) Draw a force diagram of the car making the turn at minimum speed? b) What is the Maximum speed he can travel and turn safely? 27) A 0.25 kg set of fuzzy dice hang from a string in a moving car. The car makes a turn with a radius of 25m. The string makes an angle of 20o to the vertical. a) Draw a force diagram of the dice.

b) What is the speed of the car? BONUS: A Block of mass M is pulled at constant speed along a rough surface by a rope with a Tension T that makes an angle of θ above the horizontal. What is the maximum Tension that the block can be pulled before it is lifted off the ground? (Normal Force = zero)


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28) The force exerted on a spring can be described with the equation F(x) = 3x+4x2-x3 a) How much work is done on the when stretched 5 cm from its rest position? b) A 50 gram mass is set against the spring, the spring is released. What is the maximum velocity of the mass? 29) A 2.0kg cart move along the x-axis so its potential energy is given as function of x is given as U(x)= 6.0x2. When the object passes x=0.3 m its velocity is +2.0 m/s. A) What is the Total Mechanical Energy of the cart? B) What is the acceleration of the cart at x=0.5? C) At what points is the kinetic energy of the cart zero? 30) A 45 kg carnie is shot from a spring loaded frictionless cannon tilted at an angle of 30o to the horizontal. The spring has a constant of 2000 N/m and is compressed 3.0 m. A) Draw a force Diagram of the carnie as he moves through the cannon. B) How much work is done by gravity as he moves through the cannon? C) How much work is done by the spring? D) What is the velocity of the carnie as he leaves the cannon at the end of the spring? 31) A 5N Ball is attached to an elastic chord that is 1.5 meters long as shown. The spring constant k of the chord is 25 N/m. The ball is dropped and allowed to stretch the cord? A) Draw a force diagram of the ball when in reaches maximum velocity. B) What is the maximum Velocity of the ball? C) How far will the ball fall before it comes to rest? 32) Use the graph below to answer the following questions. M = 2.0 kg A) What positions (x) is the object in Unstable Equilibrium? B) What positions (x) is the object in Stable equilibrium? C) What direction ( + or - ) is the force at x=3.5m D) What is the velocity at x = 4 m (x=0, v=0)


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BONUS: A rider and his bike have total mass of M and roll down a hill (h=H). He rides around a loopity-loop with a radius R. What is the Maximum Radius (R) of the hill in terms of H so the rider completes the circle?

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2017-18 MMSTC AP PHYSICS REVEIW - virt.wcskids.netvirt.wcskids.net/mmstc/staff_websites//mcmillan files/AP Physics/17... · 2017-18 MMSTC AP PHYSICS REVEIW ... 100 m the boat is moving