Physics Module Form 4 Teachers’ Guide Chapter 2 : Force and Motion

5/27/2018 Physics Module Form 4 Teachers Guide Chapter 2 : Force and Motion

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JPN Pahang Physics Module Form 4

Teachers Guide Chapter 2 : Force and Motion

1

2. FORCE AND MOTION

2.1 ANALYSING LI NEAR MOTION

Distance and displacement

1. Types of physical quantity:

(i) Scalar quantity: .

(ii) Vector quantity:

2. The difference between distance and displacement:

(i) Distance:

(ii) Displacement:

3. Distance always longer than displacement.

4. Example: The following diagram shows the location of Johor Bahru and Desaru.

You can travel by car using existing road via Kota Tinggi, or travel by asmall plane along straight path.

Calculate how far it is from Johor Bahru to Desaru if you travelled by:

a. The car

b. The plane

Solution:

Hands-on Activity 2.2 pg 10 of the practical book.

Idea of distance and displacement, speed and velocity.

Speed and velocity

1. Speed is ..

2. Velocity is: .....

3. Average of speed:

4. Average of velocity: ...

Only have magnitude

Have both magnitude and direction

length of the path taken

distance of an object from a point in a certain direction

the distance traveled per unit time or rate of change of distance

the speed in a given direction or rate of change of displacement

total distance traveled, s (m) , v = s m s-1

time taken, t (s) t

displacement, s (m) , v = s ms-1

Time taken t s t

Kota Tinggi

The path traveled by the plane is shorter than traveled by

the car.a. by car = 41 + 53

= 94 km

b. by plane = 60 kmSo, Distance = 94 kmDisplacement = 60 km

60 km

41 km 53 km

DesaruJohor





2

5. Example:

An aeroplane flies from A to B, which is located 300 km east of A. Upon reaching B, the

aero plane then flies to C, which is located 400 km north. The total time of flight is 4

hours. Calculate

i. The speed of the aeroplane

ii. The velocity of the aeroplane

Solution:

Acceleration and deceleration

1. Study the phenomenon below;

Observation:

2. Acceleration is, .

Then, a =3. Example of acceleration;

20 m s-

0 m s-

40 m s-

The velocity of the car increases.

the rate of change of velocity

Final velocity initial velocity

Time of changeOr, a = v u

t

20 m s-

0 m s-

40 m s-

A B C

t = 2 s t = 2 s

C

A B300 km

i. Speed = Distance

Time

= 300 + 4004

= 175 km h-1

400 km

ii. velocity = displacement

time(Determine the displacement denoted by AC andits direction)

= 125 km h-

(in the direction of 053 )A

300 km

= . 500 .4

B

C

400 km





3

Calculate the acceleration of car;

i) from A to B

ii) From B to C

4. Deceleration happens ...

5. Example of deceleration;

A lorry is moving at 30 m s-1

, when suddenly the driver steps on the brakes and it stop 5seconds later. Calculate the deceleration of lorry.

Analyzing of motion

1. Linear motion can be studied in the laboratory using a ticker timer and a ticker tape.

Refer text book photo picture 2.4 page 26.

(i) Determination of time:

(ii) Determination of displacement as the length of ticker tape over a period of time.

x y

(iii) Determine the type of motion;

..

......

...

aAB = 20 0 = 10 m s-

2

aBC = 40 20 = 10 m s-

2

when the velocity of an object decreases, In calculations, a

will be negative

Answer : v = 0 m s-, u = 30 m s

-, t = 5 s

Then , a = 0 30 = -6 m s-25

. . . . . . . .the frequency of the ticker timer = 50 Hz ( 50 ticks in 1 second)so, 1 tick = 1 second = 0.02 seconds

50

xy = displacement over time t

measure by ruler

. . . . . . . .

. . . . . . . .

. . . . . . . .

. . . . . . . .

Uniform velocity

Acceleration

Acceleration, then deceleration





4

(iv) Determination of velocity

displacement = time = ..

Velocity, v =

(v) Determine the acceleration

The equation of motion

1. The important symbols : ..

2. The list of important formula;

3. Example 1 : A car travelling with a velocity of 10 m s-1accelerates uniformly at a rate of

3 m s-2

for 20 s. Calculate the displacement of the car while it is accelerating.

Length/cm

8

7

6

54

3

2

1

0

u

v a =

=

=

=

v u

t40.0 15.0 ..

5(0.2)25.0

1.0

25.0 cm s-

ticks

s : displacement, v : final velocity

u : initial velocity, t : time, a : acceleration

1. tvus )(2

1+= 2.

t

uva

=

3. atuv += 4. 2

2

1atuts +=

5. asuv 222 +=

given : u = 10 m s-

, a = 3 m s-, t = 20 s. s = ?

s = ut + at2

s = (10)(20) + (3)(20)2

= 800 m

. . . . . . . .12.6 cm 7 x 0.02 = 0.14 s

12.6 = 90.0 cm s-10.14





5

Example 2 : A van that is travelling with velocity 16 m s-1

decelerates until it comes to rest.

If the distance travelled is 8 m, calculate the deceleration of the van.

Exercise 2.1

1. Figure 2.1 shows a tape chart

consisting of 5-tick strip. Describethe motion represented by AB and BC.

In each case, determine the ;

A to B acceleration, BC uniform velocity(a) displacement

(b) average velocityFigure 2.1

(c) acceleration

2. A car moving with constant velocity of 40 ms-1

. The driver saw and obstacle in front

and he immediately stepped on the brake pedal and managed to stop the car in 8 s. Thedistance of the obstacle from the car when the driver spotted it was 180 m. How far is the

obstacle from where the car has stopped?

given : u = 16 m s-

, v = 0(rest), s = 8 m a = ?

v2= u

2+ 2 as

02= 162+ 2 a(8)

a = -16 ms-2

Length / cm

16

12

8

4

0A B C Time/s

s = 4 + 8 + 12 + 16 + 16 + 16

= 72.0 cm

vaverage=)1.0(6

0.72

= 120.0 cm s-1

Note : v =1.0

0.16= 160 cm s

-1

a =t

uv =

5.0

40160 u =

1.0

0.4= 40.0 cm s

-1

= 240 cm s-2

t = 5 (0.1) = 0.5 s

u = 40 ms-

v = 0 t = 8 s

s initial = 180 m (from car to obstacle when the driver start to step on the brake)

sfinal= ? ( from car to obstacle when the stopped)obstacle

sinitial

s sfinal

s = ( ) ( ) mtvu 16080402

1

2

1=+=+

sfinal= sinitial s= 180 160

= 20 m





6

2.2 ANALYSING MOTION GRAPHS

The data of the motion of the car can be presented.

The displacement-time Graph

0m 100m 200m 300m 400m 500m displacement

0s 10s 20s 30s 40s 50s time

a) displacement (m) Graph analysis:

time (s) ...

b) displacement (m) Graph analysis:

..

time (s) .

c) displacement (m) Graph analysis:

.

time (s) ..

The object moves with uniform velocity for t seconds.

After t seconds, the object returns to origin (reverse) with

uniform velocityTotal displacement is zero

Graph is quadratic form

.

Displacement increases with time.

Graph gradient increases uniformly

The object moves with increasing velocity with uniform

acceleration.

d) Displacement (m) Graph analysis:

.

..

time (s)

in the form of graph called a motion graphs

Uniform displacement all the time

Graph gradient = velocity = 0

The object is stationary or is not moving

Displacement increases uniformly

Graph gradient is fixed

The object move with uniform velocity





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The velocity-time Graph

c) v (m s-1

) Graph analysis:

...

t1 t2 t (s)

e) displacement (m) Graph analysis:

time (s)

f) displacement (m) Graph analysis:

A B .

..

O C time (s)

a) v/ m s-

Graph analysis:

t t / s

b) v/ m s-

Graph analysis:

..

t t / s

Its velocity increases uniformly

The graph has a constant gradient

The object moves with a uniform acceleration

The area under the graph is equal to the

displacement, s of the moving object :

s = ( v x t)

Graph is quadratic form.

Displacement increases with time.

Graph gradient decreases uniformly

The object moves with decreasing velocity, with unifodeceleration.

OA = uniform velocity (positive move ahead)

AB = velocity is zero (rest)

BC = uniform velocity (negative reverse)

No change in velocity

Zero gradient the object moves with a constant veloci

the acceleration is zero.

The area under the graph is equal to the displacemen

the moving object :

s = v x t

The object moves with a uniform acceleration for t1s

After t1s, the object decelerates uniformly (negative

gradient ) until it comes to rest.

The area under the graph is equal to the displacement o

the moving object : s = vt2





8

d) v (m s-1

) Graph analysis:

.......

..

t (s)

....

e) v (m s-1

) Graph analysis:

......

...

t (s) Examples

1. s/m

20

10

-10

2.

O

P Q

R

S

0 2 4 6 8 t/s

O

P Q

R

v/m s-

10

5

0 2 4 6 8 10 t/s

Calculate:-

(i) acceleration,a over OP, PQ and QR(ii) Displacement

Solution :Given : VO= 0 m s

-, VP = 10 m s

-,

VQ= 10 m s-1

VR= 0 m s-1

tOP= 4 s tPQ= 4 s tQR= 2 s

(i) aOP=2

2.5ms4

010 =

aPQ= =

0

4

1010

aQR=2

=

ms5.02

100

(ii) S = 70.0m10) ( 10)( 42

1=+

The shape of the graph is a curve

Its velocity increases with time.

The gradient of the graph increases.

The object moves with increasing acceleration.

The area under the graph is equal to the total displacem

of the moving object.

The shape of graph is a curve

Its velocity increases with time.

The gradient of the graph decreases uniformly.

The object moves with a decreasing acceleration.

The area under the graph is the total displacement of th

moving object.

Given : SOP= 20 m SOQ= 20 m SOR= 0 m

SOS = - 10 mtOP= 2 s tPQ= 3 s tQR = 2 s

tRS= 1 s

(i) VOP= 110ms220 = VQR= 10ms

2200 =

VRS= 1

10ms1

010- =

(ii) S = -10m

Calculate:-

(i) Velocity over OP, QR and RS(ii) Displacement

Solution :





9

Exercise 2.2

1. (a) s/m (b) s/m (c) s/m

10

t/s 0 2 4 t/s t/s

-5 -10

Figure 2.21

Describe and interpret the motion of a body which is represented by the displacementtime graphs in Figure 2.21

2. Describe and interpret the motion of body which is represented by the velocity-time

graphs shown in figure 2.22. In each case, find the distance covered by the body and its

displacement

(a) v/m s-1

(b) v/m s-1

10

t/s 0 2 4 t/s

-5 -10

Figure 2.22

a) The body remains at rest 5 m at the back of initial point

b) The body start to move at 10 m in front of the initial point, then back to initialpoint in 2 s. The body continue its motion backward for 10 m.

The body move with uniform velocity.

c) The body move with increasing it velocity.

(a) The body moves with uniform velocity , 5 m s- backward.

(b) The body start its motion with 10 m s-1

backward and stop at initialpoint in 2 s, then continue moving forward with increasing velocity

until 10 m s-1

in 2 s.





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2.3 UNDERSTANDING INERTIA

Idea of inertia

1.

2.

3.

Hand-on activity 2.5 in page 18 of the practical book to gain an idea of inertia

4. Meaning of inertia :

...

Mass and inertia

1. Refer to figure 2.14 of the text book, the child and an adult are given a push to swing.

(i) which one of them will be more difficult to be moved ...

(ii) which one of them will be more difficult to stop? .

2. The relationship between mass and inertia :

...

3. The larger mass .

Effects of inertia1. Positive effect :

(i)

(ii)

(iii)

2. Negative effect : .

(i) ...

..

(ii)

(iii)

(iv)

A pillion rider is hurled backwards when the motorcycle starts to move.

Bus passengers are thrust forward when the bus stop immediately.

Large vehicle are made to move or stopped with greater difficulty.

The inertia of an object is the tendency of the object to remain at rest or, if moving, to

continue its uniform motion in a straightline

An adult

An adult

The larger the mass, the larger its inertia.

have the tendency to remain its situation either at rest or in

moving.

Application of inertia

Drying off an umbrella by moving and stopping it quickly.

Building a floating drilling rig that has a big mass in order to be stable and safe.

To tight the loose hammer

We should take a precaution to ovoid the effect.

During a road accident, passengers are thrust forward when their

car is suddenly stopped.

Passengers are hurled backwards when the vehicle starts to move and are hurled

forward when it stops immediately.

A person with a heavier/larger body will find it move difficult to stop his movement.

A heavier vehicle will take a long time to stop.





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Exercise 2.3

1. What is inertia? Does 2 kg rock have twice the inertia of 1 kg rock?

2.

Figure 2,3

A wooden dowel is fitted in a hole through a wooden block as shown in figure 2.31.Explain what happen when we

(a) strike the top of the dowel with a hammer,

(b) hit the end of the dowel on the floor.

2.4 ANALYSING MOMENTUM

Idea of momentum

1. When an object is moving, ...2. The amount of momentum ...

3. Momentum is defined.

it has momentum.

depends on its mass and velocity.

as the product of its mass and its velocity, that is

Momentum, p = m x v Unit= kg m s-1

Inertia is the tendency of the object to remain at rest or, if moving, to continue its

uniform motion in a straightline.

Yes, the inertia increase with the mass increased.

A wooden block moves up of a wooden dowel.

A wooden block has inertia to remains at rest.

The wooden block move downward of a wooden dowel.

A wooden block has inertia to continue it motion.





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Conservation of momentum

The principle of conservation of momentum :

1. Elastic collision ...

Before collision after collision

(m + mg)

mg

vg = 0mb

vb&g

Momentum = mbvb

omentum =

(mb+mg)vb&g

Starting position before

she catches the ball

vb

Receiving a massive ball

mb

vb

mg

vg

omentum = mbvb

omentum = -

mgvg

Starting position

before she throws

the ballThrowing a massive ball

In the absence of an external force, the total momentum of a system remains

unchanged.

The colliding objects move separately after collision.

Momentum : m1u1 + m2u2 = m1v1 + m2v2

m1m2 m1

m2

u2 v2

u1





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2. Inelastic collision :...

Before collision after collision

3. explosion : ........

Before explosion after explosion

Example 1 :

Car A Car B

Car A of mass 100 kg travelling at 30 m s

-1

collides with Car B of mass 90 kg travelling at20 m s-1

in front of it. Car A and B move separately after collision. If Car A is still moving at

25 m s-1

after collision, determine the velocity of Car B after collision.

Solution :

Example 2 :

Car A of mass 100 kg travelling at 30 m s-1collides with Car B of mass 90 kg travelling at20 m s

-1in front of it. Car A is pulled by Car B after collision. Determine the common velocity

of Car A and B after collision.

Solution :

m

m2

m1+ m2

u2 = 0

u1

v

The colliding objects move together after collision.

Momentum : m1u1 + m2u2 = (m1+ m2) v

The objects involved are in contact with each other before explosion andare separated after the explosion.

Momentum : (m1 + m2)u = m1vv - m2v2

Given : mA= 100 kg , uA= 30 m s-1, vA= 25 m s

-1, mB= 90 kg,

uB= 20 m s-1

, vB= ?

mAuA + mBuB = mAvA + mBvB

(100)(30) + (90)(20) = (100)(25) + (90)(vB)

vB = 25.56 m s-1

(m1+ m2), u = 0 v1

m2

v2

Given : mA= 100 kg , uA= 30 m s-, mB= 90 kg, uB= 20 m s

-, v(A+B)= ?

mAuA + mBuB = (mA + mB) v (B+A)(100)(30) + (90)(20) = (100 + 90) v (B+A)

v(A + B) = 25.26 m s-1





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Example 3 :

A bullet of mass 2 g is shot from a gun of mass 1 kg with a velocity of 150 m s-1

. Calculate the

velocity of the recoil of the gun after firing.

Solution :

Exercise 2.4

1. An arrow of mass 150 g is shot into a wooden block of mass 450 g lying at rest on a

smooth surface. At the moment of impact, the arrow is travelling horizontally at 15 ms-1

.

Calculate the common velocity after the impact.

2. A riffle of mass 5.0 kg fires a bullet of mass 50 g with a velocity of 80 m s-1

.Calculate

the recoil velocity. Explain why the recoil velocity of a rifle is much less than the

velocity of the bullet.

2.5 UNDERSTANDING THE EFFECT OF A FORCE

Idea of force

1. What will happen when force act to an object?

Given ; mb= 2 g = 0.002 kg, mg= 1 kg, u(g+b)= 0 , vb= 150 m s-

vg= ?0 = mgvg mbvb,

0 = (1)(vg) (0.002)(150), vg = 0.3 m s-1

Force can make an object;

1. Move 2. Stop the moving

3. Change the shape of the object 4. Hold the object at rest

ma= 150 g mwb= 450 g m(a+wb)= 600 g

va= 15 m s-1

vwb= 0 v(a+ wb)= ?

mava+ mwbvwb= m(a+wb)v(a+wb), (0.15 x 15) + (0.450 x 0) = 0.6 v(a+ wb)v(a+ wb) = 3.75 m s

-1

mr= 5.0 kg mb= 50 gvr= ? vb= 80 m s

-1

mrvr = mbvb , ( 5.0 ) vr = ( 0.05)(80)

vr = 0.8 m s-1





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Idea of balanced forces

1. An object is said to be in balance when it is:

2. Stationary object

explanation :

...

3. An object moving with uniform velocity

.. explanation :

... ..

..

..

...

..

..

Idea of unbalanced forces1. A body is said to be in unbalanced..

2. .. Explanation;

..

Relationship between forces, mass and acceleration (F = ma)

Experiment 2.2 page 29.Aim : To investigate the relationship between acceleration and force applied on a constant

mass.

Experiment 2.3 page 31

Aim: To investigate the relationship between mass and acceleration of an object underconstant force.

Stationary object

Normal reaction, NFrictional force Force, F Force , F = Friction

Resultant = F Friction

= 0 (object is in equilibrium)

weight, w = mg Examples :

1.A car move at constant velocity.

2.A plane flying at constant velocity.

when it is moving in acceleration.

Resultant force

The ball move in acceleration

because the forces act are not balanced.

F > F

F F So, the ball move in F direction

1. In a stationary state

2. Moving at uniform velocity

Normal reaction, N

Magnitude R = W but R acts in an

opposite direction to the weight.

( object is in equilibrium )

weight, w = mg





16

1. Refer to the result of experiment 2.2 and 2.3,

2. 1 Newton (F = 1 N) is defined as the force required to produce an acceleration of 1 m s-2

(a=1 m s

-2) when it is acting on an object of mass 1 kg ( m = 1 kg)

So,

3. Example 1 : Calculate F, when a= 3 m s-2

and m= 1000 kg

Example 2 :

Calculate the acceleration, aof an object.

Exercise 2.5

1. A trolley of mass 30 kg is pulled along the ground by horizontal force of 50 N. Theopposing frictional force is 20 N. Calculate the acceleration of the trolley.

2. A 1000 kg car is travelling at 72 km h-1when the brakes are applied. It comes to a stop ina distance of 40 m. What is the average braking force of the car?

mm==2255kkgg

FF==220000NN

F = ma

F = ma

F = (1000)(3)

F = 3000 N

F = ma

200 = 25 a

a = 8.0 ms-2

it is found that; a F when m is constant and a 1/m when F is constant.

Therefore, a F/m

From a F/m,

F ma

Therefore, F = kma k =constant =1

m = 30 kg , F = 50 N , Ff = 20 N , a = ?

F Ff= ma , 50 20 = 30 a

a = 1.0 m s2

m = 1000 kg , u = 72 km h-1, v = 0, s = 40 m, F = ? Note : u = 72 km h

-1=20 m s

-1

F = ma, v2= u

2+ 2as

= 1000 x 5.0 0 = 202+ 2a(40)

= 5000.0 N a = 5.0 m s2





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2.6 ANALYSING IMPULSE AND IMPULSIVE FORCE

Impulse and impulsive force

1. Impulse is .

2. Impulsive force is

3. Formula of impulse and impulsive force:

Refer, F = ma

Example 1; v u

wall

If ; u = 10 m s-1

, v = - 10 m s-1

, m = 5 kg and t = 1 s

Impulse, Ft = and impulsive force, F =

Example 2; v u

Wall with a soft surface

If ; u = 10 m s-1

, v = - 10 m s-1

, m = 5 kg and t = 2 s

Impulse, Ft = and impulsive force, F =

4. The relationship between time of collision and impulsive force.

Exercise 2.6

The change of momentum

The large force that acts over a short period of time during

collision and explosion.

It is known that a = ( v u ) / t

Therefore, F = m( v u)

t

So, Ft = mv mu , Unit = N s

Ft is defined as impulse, which is the change in momentum.

F = mv mu ,t

Ft = mv mu Unit : newton (N)

F is defined as impulsive force which is the rate of change of momentum over theshort period of time

5(10) - (- 5(10)) 100 = 100 N

= 100 Ns 1

5(10) - (- 5(10)) 100 = 50 N

= 100 Ns 2

Impulsive force , F 1 / t

Therefore, F decreases when the time of collision increases ( refer to examples )





18

1. A force of 20 N is applied for 0.8 s when a football player throws a ball from the sideline.

What is the impulse given to the ball?

2. A stuntman in a movie jumps from a tall building an falls toward the ground. A large

canvas bag filled with air used to break his fall. How is the impulsive force reduced?

2.7 BEING AWARE OF THE NEED FOR SAFETY FEATURES IN VEHICLES

Importance of safety features in vehicles

Safety features in vehicles

Crash resistant doorpillars

Anti-lock brakesystem (ABS)

Traction control bumpers

Windscreen

Air bags

Head rest

Crumple zones

Reinforced passenger compartment

Fimpulse= Ft

= 20 x 0.8= 16.0 Ns

1. A large canvas bag will increase the time of collision.2. When the time of collision increase the impulsive force will decrease.





19

Safety features Importance

Padded dashboard Increases the time interval of collision so the impulsive forceroduced during an impact is thereby reduced

Rubber bumper Absorb impact in minor accidents, thus prevents damage to the car.

Shatter-proof windscreen Prevents the windscreen from shattering

Air bag Acts as a cushion for the head and body in an accident and thus

revents injuries to the driver and passengers.

Safety seat beltPrevents the passengers from being thrown out of the car. Slowsdown the forward movement of the passengers when the car stops

abruptly /suddenly.

Side bar in doorsPrevents the collapse of the front and back of the car into the

assenger compartment. Also gives good protection from a side-on

collision.

Exercise 2.7

1. By using physics concepts, explain the modifications to the bus that help to improve that

safety of passengers and will be more comfortable.

- The absorber made by the elastic material

: To absorb the effect of impact (hentaman) during it moving- Made by the soft material of bumper

: To increase the time during collision, then the impulsive

force will be decreased.- The passengers space made by the strength materials.

: To decrease the risk trap to the passenger during accident.

- Keep an air bag at the in front of dash board and in front of passengers: Acts as a cushion for the head and body in an accident and

thus prevents injuries to the driver and passengers.

- Shatter-proof windscreen: Prevents the windscreen from shattering.





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2.8 UNDERSTANDING GRAVITY

Carry out hands-on activity 2.8 on page 35 of the practical book.

Acceleration due to gravity.

1. An object will fall to the surface of the earth because...

2. The force of gravity also known ...

3. When an object falls under the force of gravity only, ...

4. The acceleration of objects falling freely

5. The magnitude of the acceleration due to gravity depends ...

Gravitational field

1. The region around the earth is .

2. The object in gravitational field

3. The gravitational field strength is defined ..

4. The gravitational field strength, g can be calculated as;

5. At the surface of the earth,

...

6. This means..

7. Example 1. Can you estimate the gravitational force act to your body?

mass = 60 kg, g = 9.8 N kg-1

, F = ?

Example 2,

A satellite of mass 600 kg in orbit experiences a gravitational force of 4800 N. Calculatethe gravitational field strength.

It pulled by the force of gravity.

as earths gravitational force.

the object is said to be free

falling

is known as acceleration due to gravity.

on the strength of the gravitational field

.

the gravitational field of the earth.is on the force of gravity.

as the gravitational force acting on a 1 kg mass.

. g = F . where, F : gravitational forcem m : mass of an object

g = 9.8 N kg-1

that an object of mass 1 kg will experience a gravitational force of 9.8 N.

Solution : F = mg = (60) (9.8)

= 588.0 N

Given : m = 600 kg. F = 4800 N, g = ?

g = F = 4800 . = 8 N kg-1

m 600





21

Example 3,

A stone is released from rest and falls into a well. After 1.2 s, it hits the bottom of the

well.

(a) What is the velocity of the stone when it hits the bottom?

(b) Calculate the depth of the well.

Weight

1. The weight of an object is defined ..

2. For an object of mass m, the weight can be calculated as :

Example : The mass of a helicopter is 600 kg. What is the weight of the helicopter

when it land on the peak of a mountain where the gravitational field is9.78 N kg

-1?

Exercise 2.8

1. Sketch the following graphs for an object that falling freely.

(a) Displacement-time graph,

(b) Velocity-time graph

(c) Acceleration-time graph

as the gravitational force acting on the object.

weight, W = mg

where, g = acceleration due to gravity.

W = mg

= 600 x 9.78

= 58 68 N

Given : u = 0 ms-

, t = 1.2 s, a = g = 9.8 ms-

(a) v = ? v = u + at

= 0 + (9.8)(1.2)

= 11.76 ms-1

(b) Depth = s = ? s = ut + at2

= (0)(1.2) + (9.8)(1.2)2

= 7.0561 m

(a) s / m (b) v / m s-

(c) a / m s

t / s t / s t / s





22

2. The following data was obtained from an experiment to measure the acceleration due to

gravity.

Mass of steel bob = 200 g, distance covered = 3.0 m, time of fall = 0.79 s.Calculate the acceleration due to gravity of steel bob.

Give the explanation why your answer different with the constant of gravitational

acceleration, g = 9.8 m s

-2

.

2.9 IDEA OF EQUILIBRIUM FORCESAn object is in equilibriumwhen :

1.

2.

stationary object

An object moving with uniform velocity

It is in a stationary state

It is moving with uniform velocity

Normal reaction, R Normal reaction, R

Weight, W=mg weight, W=mg

Magnitude of R = W Magnitude of R = mg cos R and W acts in opposite direction. And actsin opposite direction.

So, Resultant force = W R = 0 So ,Resultant force = mg cos R = 0( object in equilibrium ) ( object in equilibrium )

normal reaction, R

friction force force, F

Weight, W

Force , F = Frictional forceResultant force = F Frictional force

= 0 (object in equilibrium)

m = 200 g s = 3.0 m t = 0.79 s u = 0 g = ?= 0.2 kg

s = ut + g t2

3.0 = 0 (0.79) + g (0.792)

g = 9.6 m s-2

The answer is less than the value of gbecause of the air frictional force.





23

Addition of Force

1. Addition of force is defined as .....

Examples : the forces are acting in one direction

F1= 10 N

F2= 5 N

Resultant force, F

Example : the forces are acting in opposite directions

F1= 10 N

F2= 5 N

Resultant force, F

Example : the forces are acting in different directions

F2= 5 N50

0 F

F1= 10 N

Parallelogram method:

1. Draw to scale.

2. Draw the line parallel with F1to the edge of F2, and the line parallel with F2to the

edge of F1

3. Connect the diagonal of the parallelogram starting from the initial point.

4. Measure the length of the diagonal from the initial point as the value of the

resultant force.

a resultant force is a single force the

represents in magnitude and direction two or more forces acting on an object

F resultant = the total of forces (including the directions of the forces)

= F1+ F2 = 10 + 5 = 15 N

= F1- F2 = 10 - 5 = 5 N





24

F2

F

F1

Triangle method

1. Draw to scale.

2. Displace one of the forces to the edge of another force.

3. Complete the triangle and measure the resultant force from the initial

point.

Example 1: During Sport Day two teams in tug of war competition pull with forces of

6000 N and 5300 N respectively. What is the value of the resultant force?

Are the two team in equilibrium?

Example 2: A boat in a river is pulled horizontally by two workmen. Workmen A

pulls with a force of 200 N while workmen while workmen B pulls with a

force of 300 N. The ropes used make an angle 250with each other. Draw a

parallelogram and label the resultant force using scale of 1 cm : 50 N.

Determine the magnitude of resultant force.

Solution : Resultant force, F = 6000 5300=700 N

They were not in equilibrium

Resultant force, F = 10.5 x 50

= 525 N

25

10.5 cm





25

Resolution of a force

1. Resolution of a force is

Refer to trigonometric formula:

Example : The figure below shows Ali mopping the floor with a force 50 Nat an angle of 60

0to the floor.

F = 50 N

Example of resolution and combination of forces

reverse process of finding the resultant force

Fy F is the resultant force of Fx and Fy

Therefore, F can be resolved

into Fx and FyF

Vertical

Component

Fx horizontal component

Cos =F

Fx , therefore Fx= F cos

Sin = F

Fy , therefore Fy= F sin

Fx

Fx = F cos = 50 cos 60= 50 (0.5)

= 25 N

Fy = F Sin = 50 sin 600

Fy = 50 (0.8660)= 43.3 N

F = mg sin 400+ 200

= 800(0.6427) + 200= 514.2 + 200

= 714.2 N

mg = 800 N

600

F = ?

200 N

40

40





26

Problem solving

1. When a system is in equilibrium, .

2. If all forces acting at one point are resolved into horizontal and vertical

components,

3. Example 1; Show on a figure;

a) the direction of tension force, T of stringb) the resultant force act to lamp

c) calculate the magnitude of tension force, T

a)

mlamp= 1.5 kg

Wlamp = 14.7 N

Exercise 2.9

1. Two force with magnitude 18 N and 6 N act along a straight line. With the aid of

diagrams, determine the maximum possible value and the minimum possible value of theresultant force.

2. A football is kicked simultaneously by two players with force 220 N and 200 N

respectively, as shown in Figure 2.9. Calculate the magnitude of the resultant force.

220 N90

0

200 N

T b) T T

70 70

the resultant force is equal to zero.

the sum of each component is equal to zero.

(c ) T = 2T sin 700

Therefore, mlampg = 2T sin 700

T =0

lamp

2sin70

gm

= 02sin701.5(9.8) = 7.82 N

Fmaximumwhen both of forces act in same direction;Fmaximum = 18 + 6 18 N 24 N

= 24 N 6 N

Fminimumwhen the forces act in opposite direction ;

Fminimum= 18 6 18 N 12 N

= 12 N 6 N

F = Resultant of ForceF

2= 220

2+ 200

2

F = 297.32 N

F





27

2.10 UNDERSTANDING WORK, ENERGY AND EFFICIENCY

Work

1. Work is done, ..

2. WORK is the product..

3. The formulae of work;

4. Example 1;

Example 2;

80 N

600

s = 5 m

When a force that acts on an object moves the object through a

distance in the direction of the force.

of a force and the distance traveled in the direction of

the force.

WORK = FORCE X DISPLACEMENT

W = F xs

W : work in Joule/J

F : force in Newton/N

s : displacement in meter/m

W = Fs

If, F = 40 N and s = 2 m

Hence, W = 40 x 2

= 80 J

Force, F

s

W = Fs

= 80 cos 600(5)

= 80 (0.5) (5)= 200 J





28

Example 3;

Example 4;

F = 600 N

S = 0.8 m

Energy

1. Energy is .................................................................................................................2. Energy cannot be ....................................................................................................

3. Exist in various forms such as ...

4. Example of the energy transformation;

5.

Example :

T T

F = 30 N

h = 1.5 m

W = F s = F h

= 30 (1.5)

= 45.0 J

W = F s= 600 x 0.8

= 480 J

It is the potential to do work.

created nor be destroyed.

potential energy, kinetic energy, electrical

energy, sound energy, nuclear energy, heat and chemical energy.

When we are running up a staircase the work done consists of energy change from

Chemical EnergyKinetic EnergyPotential Energy

The energy quantity consumed is equal to the work done.

If 100 J of work is done, it means 100 J of energy is consumed.





29

Work done and the change in kinetic energy

1. Kinetic energy is

2. Refer to the figure above,

3. Example 1; A small car of mass 100 kg is moving along a flat road. Theresultant force on the car is 200 N.a) What is its kinetic energy of the car after moving through 10 m?

b) What is its velocity after moving through 10 m?

Work done and gravitational potential energy

h = 1.5 m

1. Gravitational potential energy is...

2. Refer to the figure above;

3. Example; If m = 10 kg

s

Force, F

Through, v = u +2asu = 0

and, as = v2

energy of an object due to its position.

(possessed by an object due to its position in a gravitational field)

W = Fs = mg h where, F = mgSo, Gravitational energy, Ep= mgh

energy of an object due to its motion.

Work = Fs

= mass

= m ( v2)

The formulae of Kinetic energy, Ek = mv2

Solution : Given : m = 100 kg , F = 200 N

a. Kinetic energy, Ek = Fs

= 200 x 10= 2000 J

b. Velocity, v mv2

= 2000

v = 6.32 m s-1

W = 10 (10) 1.5

= 150 J

Therefore Work done = 150JAnd, Ep= 150 J





30

Principle of conservation of energy

Carry out hands-on activity 2.10 on page 38 of the practical book.

To show the principle of conservation of energy.

1. Energy cannot be

2. Example : a thrown ball upwards will achieve a maximum height before changing itsdirection and falls

3. Example in calculation : A coconut falls from a tree from a height of 20 m. What is the

velocity of coconut just before hitting the earth?

Power

1. Power is

2. A weightlifter lifts 180 kg of weights from the floor to a height of 2 m above his head in a

time of 0.8 s. What is the power generated by the weightlifter during this time?

g = 9.8 ms-2

)

created or destroyed but can be changed from one form to

another form.

Maximum Potential energy

Kinetic energy decrease potential energy decreaseand potential energy and kinetic energy

Increase increase

Maximum kinetic energy

Given : h = 20 m, u = 0 , g = 9.8 ms-

, v = ?

Ep= Ek

mgh = mv2

m(9.8)(20) = mv2

v2

= 392, v = 19.8 m s-1

the rate of doing work.

Therefore, power, P =timetaken

workdone, so, P =

t

W

Where, P : power in watt/W

W : work in joule/J

t : time to do work in seconds/s

Solution : Given : m = 180 k , h = 2 m, t = 0.8 s and g = 9.8 ms-

. P = ?

P =t

W=

t

mgh

=0.8

29.8180 = 4 410 W





31

Efficiency

1. Defined...

2. Formulae of efficiency :

3. Analogy of efficiency;

Energy transformation

4. Example; An electric motor in a toy crane can lift a 0.12 kg weight through a height of0.4 m in 5 s. During this time, the batteries supply 0.8 J of energy to the motor. Calculate

(a)The useful of output of the motor.

(b)The efficiency of the motor

Carry out hands-on activity 2.11 on page 39 of the practical book to measure the power.

Device/

mechine

Device/

mechine

as the percentage of the energy input that is transformed into useful energy.

%100=inputEnergy

outputenergyUsefulEfficiency

unwanted energy

Energy input, Einput Useful energy, Eoutput

Solution : Given : m = 0.12 kg, s= 0.4 m, t = 5 s, Einput= 0.8 J

(a)Eoutput = ?

Eoutput = F x s

= (0.12 x 10) x 0.4

= 0.48 J

(b) Efficiency = ?

Efficiency %100xE

E

input

output=

100%x0.80

0.48= %60=





32

Exercise 2.10

1. What is the work done by a man when he pushes a box with a force of 90 N through a

distance of 10 m? State the amount of energy transferred from the man to the force.

2. A sales assistant at a shop transfers 50 tins of milk powder from the floor to the top shelf.Each tin has a mass of 3.0 kg and the height of thee top shelf is 1.5 m.

(a) Calculate the total work done by the sales assistant.

(b) What is his power if he completes this work in 250 s?

2.11 APPRECIATING THE IMPORTANCE OF MAXIMISING THE EFFICIENCY

OF DEVICES1. During the process of transformation the input energy to the useful output

energy,..

2. ...

3.

Example of wasting the energy;

..

Input energy output

from the petrol energy

. .

.... .. .. .

.... . . .

some of the energy transformed into unwanted forms of energy.

The efficiency of energy converters is always less than 100%.

The unwanted energy produced in the device goes to waste.

Kinetic energy

Energy loss due to Energy loss Energy loss Energy loss due to friction at

friction in as heat as sound other parts in the

moving parts engine

W = F s The energy transferred to the force = 900 J

= 90 x 10= 900 J

m = 3.0 x 50 = 150 kg h = 1.5 m

W = mhg = 150 x 9.8 x 1.5

= 2205 J

P =t

W

=250

2205= 8.82 W





33

4. The world we are living in face acute shortage of energy.

5. It is very important that a device makes

Ways of increasing the efficiency of devices

1. Heat engines ..

2. Electrical devices. ......

Operation of electrical devices

1. The electrical devices increase the efficiency.

2. Proper management .....

3. ..

when they are in good operating

condition. will increase the life span of device.

Example : -the filter in an air-conditioner and fins of the cooling coil of a

refrigerator must be periodically cleaned.

Refrigerators

- choose the capacity according to the size of the family.

- installed away from source of heat and direct sunlight.

- the door must always be shut tight.

- more economical use a large capacity refrigerator.

- use manual defrosts consumption.

Washing machines

- use a front loading as such more economical on water and electricity

- front loading use less detergent as compared to a top loading machine.

the best possible use of the input energy.

Engine must be designed with the capability to produce greater amount

of mechanical work.

L ight Fi ttings

- replace filament light bulb with fluorescent lamps which have higher efficiency.

- use a lamp with a reflector so that the illumination can be directed to specific areas

of the user.

Air-conditioners.

- choose a model with a high efficiency.

- accommodate the power of air-conditioner and the size of the room

- Ensure that the room totally close so that the temperature in the room can be

maintained.





34

2.12 UNDERSTANDING ELASTICITY

Carry out Hands-on activity 2.12 page 40 of the practical book.

1. Elasticity is ...

2. Forces between atoms ..

3. Forces between atoms in equilibrium condition

Explanation :

4. Forces between atoms in compression

Explanation ;

5. Forces between atoms in tension

force of attraction

stretching force stretching force

Explanation ;

Force of repulsion

Force of attraction

Force of repulsion

compressive forcecompressive force

Force of repulsionForce of repulsion

1. Force of attraction takes effect.

2. When the compressive force is removed, force of repulsion between the

atoms pushes the atom back to their equilibrium positions.

1. Force of repulsion takes effect.

2. When the compressive force is removed, force of repulsion between the atoms

pushes

the property of an object that enables it to return its original shape and

dimensions after an applied external force is removed.

The property of elasticity is caused by the existence of forces of

repulsion and attraction between molecules in the solid material.

1. The atoms are separated by a distance called the equilibrium distance and vibrate

at it position.

2. Force of repulsion = Force of attraction





35

Carry out Experiment 2.4 on page 41 of the practical book

To investigate the relationship between force and extension of a spring

Hookes Law

1. Hookes Law states

2. Elastic limit of a spring is defined.

3. The spring is said to have a permanent extension,...

4. The elastic limit is not exceeded,.

5. GGrraaffFFaaggaaiinnssttxx

F/ N

6. Spring Constant, k

F/N

0.8

0 8 x/cm

x (cm)0

F = kxSpring obeying

Hookes Law

EQ P

Spring not obeying Hookes law

(exceeded the elastic limit)

R

Force constant, k = F with unit N m-, N cm

-or N mm

-

x

k is the gradient of the F - x graph

k =x

F

=8

0.8

= 0.1 N cm-1

Whenthe spring obey Hookes Law.

The mathematical expression for Hookes Law is :

F x

F = kx, k = Force constant of the spring

Force constant, k = F with unit N m-1, N cm

-1or N mm

-1

x

that the extension of a spring is directly proportional to the applied

force provided that the elastic limit is not exceeded.

as the maximum force that can be applied to

spring such that the spring will return to its original length when the force released.

when the length of the

spring longer than the original length even though the force acts was released and the

elastic limit is exceeded.





36

Example 1; A spring has an original length of 15 cm. With a load of mass 200 g

attached, the length of the spring is extended to 20 cm.

a. Calculate the spring constant.b. What is the length of the spring when the load is in increased

by 150 g? [assume thatg= 10 N kg-1]

Example 2;

Elastic potential energy

1. Elastic potential energy ..

spring with the original length

F compression

x spring compressed xF x = compression x

x F spring extended

x = extension F, extension

Other situation where the spring extended

and compressed

Given : lo= 15 cm, m = 200 g , F = 2.0 N, l = 20 cm x = 5 cm

a. k = ?, k = 10.4Ncm5

2.0xF ==

The graph shows the relationship between thestretching force, F and the spring extension, x.

(a) Calculate the spring constant of P and Q.(b) Using the graph, determine the

stretching force acts to spring P and

spring Q, when their extensions are 0.5

cmSolution

a. Spring constant, k = gradient of graph

kP=1

cmN15.790.38

6 =

kQ= 1

cmN6.00.5

3 =

b. When x = 0.5, FP= 8.0 N( extrapolation of graph P)

FQ= 3.0 N

the energy stored in a spring when it is extended or compressed

b. l = ? , when m = 150 g, F = 1.5 N From a, k = 0.4 N cm-

x = cm75.8==0.4

3.5

k

F

l = 15 + 8.75 = 23.75 cm

F (N)

x (cm)

P

Q

8

7

6

5

4

3

2

1

0 0.1 0.2 0.3 0.4 0.5

Graph F against x of

spring P and spring Q





37

Relationship between work and elastic potential energy

Graph F against x

Example ;

Factors that effect elasticity

Hands-on activity 2.13 on page 42 the practical book to investigate the factors that affect

elasticity.

Type of material different same same same

Diameter of spring wire same different same same

Diameter of spring same same different same

Length of spring same Same same different

Summarise the four factors that affect elasticity

Factor Change in factor Effect on elasticity

Shorter spring Less elasticLength

Longer spring More elastic

Smaller diameter Less elasticDiameter of spring

Larger diameter More elastic

Smaller diameter More elasticDiameter of spring wire

Larger diameter Less elastic

Type of material the elasticity changes with the type of materials

x / cm

F/N

Fx

Area under the graph = work done

= FxSo, Elastic potential energy = Fx

15 cm

5 kg

8 cm

= 15 8= 7 cm

= 0.07 m

Force act to the spring,

F = 5 x 10 = 50 NElastic potential energy = Fx

= 50 (0.07) = 1.75 J





38

Exercise 2.12

1. A 6 N force on a spring produces an extension of 2 cm. What is the extension when the

force is increased to 18 N? State any assumption you made in calculating your answer.

2. If a 20 N force extends a spring from 5 cm to 9 cm,

(a) what is the force constant of the spring?

(b) Calculate the elastic potential energy stored in the spring.

Reinforcement Chapter 2

Part A : Objective Questions

1. When a coconut is falling to the

ground, which of the following

quantities is constant?

A. Velocity

B. Momentum

C. Acceleration

D. Kinetic energy

2. In an inelastic collision, which of the

following quantities remainsconstant before and after the

collision?

A. Total acceleration

B. Total velocity

C. Total momentum

D. Total kinetic energy

3. Calculate the weight of a stone with

mass 60 g on the surface of the

moon.(The gravitational acceleration of the

moon is 1/6 that of the Earth.)

A. 0.1 N

B. 0.2 N

C. 0.4 N

D. 0.6 N

E. 0.8 N

4. The momentum of a particle isdepend on

A. mass and accelerationB. weight and force

C. mass and velocity

60 g = 0.06 kg

W = 0.06 (1/6)(10)= 0.1 N

To solve the problem, determine the spring constant to use the formula F = k xF = 6 N , x = 2 cm

F = kx When, F = 18 N, x = ?

6 = k (2) 18 = 3 x

k = 3 N cm-1

x = 6 cm

F = 20 N, x = 9 5 = 4 cm, k = ? F = kx

20 = k (4)

k = 5 N cm-1

E = Fx= (20)(0.04)

= 0.4 J





39

5. Which of the following diagrams

shows a body moving at constant

velocity?

A. 2 N 2N

B. 12 N 7 N

C. 12 N 14 N

D. 20 N 17 N

6. The graph below shows the motion

of a trolley with mass 1.5 kg.

Velocity / ms-1

4

0 2 4 6 Time / s

Calculate the momentum of the

trolley from t = 2s to t = 4s.

A. 1.5 kg m s-1

B. 3.0 kg m s-1

C. 4.0 kg m s-1D. 6.0 kg m s

-1

E. 7.5 kg m s-1

7. This figure shows an aircraft flyingin the air.

8. m = 0.3 kg

5 m

What is the momentum of the stonejust before it hits the ground?

A. 0.15 kg m s-1

B. 0.3 kg m s-1

C. 1.5 kg m s

-1

D. 3.0 kg m s-1

E. 15.0 kg m s-1

Solution :

9. A big ship will keep moving for some

distance when its engine is turned off.

This situation happens because the shiphas

A. great inerti a

B. great accelerationC. great momentum

D. great kinetic energy

10. An iron ball is dropped at a height of

10 m from the surface of the moon.

Calculate the time needed for theiron ball to land.

(Gravitational acceleration of the

moon is 1/6 that of the Earth and

g = 9.8 N kg-2

)

A 0.6 s

B 1.4 sC 1.7 s

D 3.5 s

E 12.0 s

P = mv= 1.5 x 4

= 6.0 kg ms-1

Lift

Thrust Air friction

Weight

The aircraft above accelerates if

A. Lift >Weight

B. Thrust >Lift

C. Lift >Air friction

D. Thrust >Air f riction

P = mv (find v first to calculate the P)

Ep= E

kmgh = mv2

(0.3)(10)(5) = (0.3) v2

v = 10 m s-1

P = (0.3)(10)

= 3.0 kg m s-1

s = ut + gt

= (0)t +

(9.8/6)t2





40

Part B : Structure Questions

1.

(i) Car A (ii) Car B

Diagram 1.1

Diagram 1.1(i) and (ii) show two methods used by the mechanic to move a breakdown

car. A constant force, F = 500 N is used to push and pull the car in method A and B.

(a) (i) Which method is easier to move the car?

(ii) State a reason for your answer in (a)(i).

(b) The frictional force acting between the car and track surface in both methods is200 N. Calculate, the

(i) horizontal resultant force in method A.

(ii) horizontal resultant force in method B.

(iii) acceleration of the car in method B.

( c ) Suggest a method to move Car B so that the acceleration produced is equal to thatof method A.

....

Method (a)

The forces given parallel with the surface of motion,

So, all the forces given used to move the car.

F = Fgiven- Ffriction

= 500 200

= 300 N

F = FgivenCos 500 Ffriction

= 500 cos 600 200

= 50.0 N

F = m a

50.0 = 1000 a

a = 0.05 m s

-2

The acceleration of Car A = 0.3 m s-2

To move Car B with the same acceleration of Car A, increase the force given

to 1000 N





41

2. ceiling

Tin water M N hand

P Q R

(i) Diagram 2.1 (ii)

a) Diagram 2.1(i) shows tin P that is empty and tin Q that is filled with water. A

student find difficult to pushed tin Q. Write the inference about the observation.

b) Diagram 2.1(ii) shows a tin being released from the different positions M and N.

The hand of a student at position R needs greater force to stop the motion of the

tin falling from position M. Explain this observation.

c) Based on the observation (i) and (ii), state two factors that affect the magnitude ofthe momentum of the object.

d) If water flows out from a hole at the bottom of the tin Q, how would the inertia of

Tin Q depends on time ?

3. 2 ms-1

P iron ball ( 2 kg )

S T

3.0 m smooth surface1.0 m 2.0 m

Q R

Diagram 3 Rough surface

The figure shows a iron ball that is rolled through PQRST. The rough surface of QR has

frictional force of 4 N.a) Calculate

(i) the kinetic energy of the iron ball at P.

F

The difficulty to move the tin depends to its mass.

From position M the velocity of tin is more than the velocity compare when it is

from N. Ekincrease then the force to stop it will be increased.

mass and velocity

inertia of tin Q will decrease because the mass of tin decreased.

Ek= mv= (2)(2

2) = 4.0 J





42

(ii) the potential energy of the iron ball at P.

(iii) the total of energy of the iron ball at P.

b)c) (i) Calculate the total of energy of the iron ball when it reaches at Q ?

(ii) Calculate the work done against friction along QR.

d) Calculate the total kinetic energy of the iron ball at S.

e) Calculate the speed of the ball at position T.

Part C : Essay Questions

1.

(i) (ii)Diagram 1.1

Diagram 1.1(i) shows the condition of a car moving at high velocity when it suddenly

crashes into a wall.Diagram 1.1(ii) shows a tennis ball hit with racquet by a player.a) (i) What is the meaning of momentum?

(ii) Based on the observations of Diagram (i) and (ii), compare thecharacteristics of car when it crashes into the wall and the tennis ball when

it is hit with a racquet. Hence, relate these characteristics to clarify a

physics concept, and name this concept.

Ep= mgh= (2) (10) (3.0)

= 60.0 J

E = Ek+ Ep

= 4.0 + 60.0= 64.0 J

64.0 J ( the conservation of energy )

W = Ffx s= 4 x 1.0

= 4.0 J

Es= E Ef Ekat S = Es- Epat s= 64.0 4.0 = 60.0 (2)(10)(2.0)= 60.0 J = 20.0 J

Ekat T = 20.0 J v2= 20

= m v2

v = 4.5 m s-1

= (2)(v2)





43

b) Explain why a tennis player uses a taut racquet when playing.

c) In launching a rocket, a few technical problems have to be overcome before therocket can move upright to the sky. By using appropriate physics concepts,

describe the design of a rocket and the launch techniques that can launch the

rocket upright.

Answer

a) (i) momentum is product of mass and velocity

(ii) - The shape of car changed but the shape of wall remained.

- The shape of ball remained but the shape of the racquet string was

changed. (The racquet string is elastic but the wall is harder)- The time taken of collision between the ball and racquet string more than

the time taken when the car hit the wall.

- The impulsive force will decrease when the time of collision increased.

- The concept is the impulsive force.

b) - To decrease the time of collision between the ball and the racquet string.- Impulsive force will be increased.- The force act to the ball will be increased.

- The velocity of ball will be increased.

c) - Make a gradually narrower at the front shape (tapering): To decrease air friction

- Made by the high strength and high rigidity of materials: To decrease the probability to become dented (kemik).

- Made by the low density of material.: To reduce the mass/weight

- The structure is fractional engine: The mass will be decreased and the velocity will increase.

- Made by the high of heat capacity of materials

: It will be high heat resistance.





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2.

Brand Reaction time / s Mass / kgEngine thrust

force / N

Resistance force

/ N

A 0.3 1.5 10.0 4.0

B 0.5 1.8 12.5 2.4

C 0.2 0.9 6.5 2.2D 0.6 2.5 16.0 6.5

In a radio-controlled car racing competition, 4 mini-cars branded A, B, C and D took

part. The information of the 4 cars is given in the table above. Details of the above

information are given as below;

Reaction time - Duration between the moment the radio-controlled is switched on and

the moment the car starts moving.Resistance - Average value of opposing forces includes the friction between

wheels and track, and air resistance.

(a) What is the meaning of acceleration?

(b) Draw a graph of velocity against time that shows a car moving initially withconstant acceleration, then moving with constant velocity and followed byconstant deceleration until it stops.

(c) Explain the suitability of the properties in the above table in constructing a radio-controlled car racing purpose. Hence, determine which brand of car will win the

50-metre race.

(c) If Car B in the above table is moved up the plane at the angle of 30o to thehorizon,

(i) Show that the car is able to move up the plane.(ii) Determine the acceleration of the car.

Answer :(a) Increase the velocity

(b) v / ms-1

displacement = area under the graph

t / s(c) - time reaction mast be short : fast to detect the signal to start its move

- has a small of mass : to decrease the inertia, then easier to start move and to

stop its moving.- thrust force is high : has more power during its moving / increase the

acceleration

- friction force is low : decrease the lost of force- the best car is A : because it has short of time reaction, small of mass, high ofthrust force and low friction of force.

(d) (i) EB= (12.5 2.4 ) (50) = 505.0 J

50 m 50Sin300 E (suitable to move up) = 1.8 (10)(50Sin30

0)

= 450 .0 J

EB> E ( car B can move up the plane)

(ii) F = ma , 12.5 2.4 = 1.8 a, a = 5.61 ms-1

Properties

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Documents

Physics Module Form 4 Teachers’ Guide Chapter 2 : Force and Motion