Chapter 2 Forces and Motion (Exercise)

8/12/2019 Chapter 2 Forces and Motion (Exercise)

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CHAPTER 2 FORCES AND MOTION

(Please write the Paper 2 and Paper 3 answers in the books)

2.1 Linear Motion

SPM 2007 Question 4

1. Diagram 1 shows the path travelled by a car from P to S.

What is the displacement of the car?

A. 5.0 kmB. 6.8 km C. 8.2 kmD. 9.0 km

SPM 2007 Question 5

2. Diagram 2 is a velocity-time graph showing the motion of an object.

Which of the following describes the motion of the object?

OJ JK

A. Uniform acceleration Decreasing accelerationB. Increasing acceleration Decreasing accelerationC. Increasing acceleration Uniform accelerationD. Uniform acceleration Uniform acceleration

SPM 2010 Question 5

3. Which physical quantity is equal toTime

ntDisplaceme?


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A. SpeedB. Velocity C. DistanceD. Acceleration

SPM 2011 Question 1

4. Diagram 1.1 shows a trolley moving down an inclined plane. The ticker timer vibrates atfrequency 50 Hz. Diagram 1.2 shows the ticker tape produced by the motion of the trolley.

(a) Underline the correct answer in the bracket to complete the sentence below.The type of current used in the ticker timer is (direct current, alternating current).

[1 mark]

(b) Based on Diagram 1.2,(i) One tick is represented by the time taken from point ___ to point ___. [1 mark](ii) Compare the distance between PQ and ST. [1 mark](iii)State the type of motion of the trolley. [1 mark]

2.2 Motion Graphs

SPM 2005 Question 10

1. The acceleration-time graph below shows the movement of an object.


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Which velocity-time graph represents the movement of the object?

SPM 2008 Question 4

2. Diagram 2 shows the velocity-time graph of an object.

Which acceleration-time graph represents the same motion as the object?

SPM 2009 Question 4

3. Diagram 2 shows a velocity-time graph for a motion of an object.


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What is the total distance, in m, travelled by the object in 8 s?

A. 18B. 24 C. 32D. 64

SPM 2010 Question 3

4. Diagram 2 shows a car moving up a hill. The car decelerates as it moves up the hill andaccelerates as it moves down the hill.

Which graph shows the correct relationship between the velocity, v, of the car and the time, t

of the motion?


5. Diagram 8 shows a velocity-time graph for a motion of a toy car.


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What is the displacement of the car in 6 s?

A. 0 mB. 30 m C. 45 mD. 75 m

2.3 Inertia

SPM 2005 Question 6

1. The diagram shows two students skating towards P.

What will happen to the girl when the boy releases her hand?

A. Stays stationaryB. Moves towards PC. Moves towards Q

SPM 2005 Question 8

2. The diagram shows a pillion rider moving backwards when the motorcycle accelerates.

The backwards movement of the pillion rider can be explained byA. The concept of inertiaB. The concept of equilibrium of forces


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C. Principle of conservation of momentumD. Principle of conservation of energy

SPM 2009 Question 5

3. Diagram 3 shows the position of a plate before and after the table cloth is snatched away.

The plate remains stationary due to

A. InertiaB. ImpulseC. MomentumD. Linear motion


4. A body stays stationary, or continues to move with a uniform velocity, unless there is anexternal force that changes its state of motion. Which law is explained by the above statement?

Which law is explained by the above statement?

A. Newtons first law of motionB.

Newtons second law of motion

C. Newtons third law of motionSPM 2006 Question 3

5. Diagram 3.1 shows two wooden tops. One of the tops is partly coated with tin. Both tops arethe same size and are rotated with the same velocity.

Diagram 3.2 shows the top which is partly coated with tin able to spin longer.

Based on the above information and observation:

(a) State one suitable inference. [1 mark](b) State onesuitable hypothesis. [1 mark](c) With the use of apparatus such as a hacksaw blade, plasticine and other apparatus,

describe an experiment framework to investigate the hypothesis sated in 5(b).

In your description, state clearly the following:


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(i) Aim of the experiment.(ii) Variables in the experiment.(iii)List of apparatus and materials.(iv)Arrangement of the apparatus.(v) The procedure of the experiment which include the method of controlling the

manipulated variable and the method of measuring the responding variable.

(vi)The way you would tabulate the data.(vii)The way you would analyse the data. [10 marks]

2.4 Momentum

SPM 2006 Question 7

1. Diagram 4 shows two trolleys, P and Q, on a frictionless plane. Trolley P moves and collideswith the stationary trolley Q.

Which of the following statements is true?

A. The collision is an elastic collision.B. Both trolleys do not undergo changes in momentumC. The total momentum before and after the collision is the sameD. The total kinetic energy before and after the collision is conserved.

SPM 2008 Question 6

2. Diagram 4 shows two identical balls, P and Q moving towards each other with a velocity of vand 2v respectively. The collision between the two balls is an elastic collision.

Which statement is correct about the elastic collision?

A. The momentum of ball P before the collision is equal to the momentum of ball Q beforethe collision

B. The total momentum before the collision is equal to the total momentum after thecollision


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C. The kinetic energy of ball P before the collision is equal to the kinetic energy of ball Qbefore the collision

D. The total kinetic energy before the collision is not equal to the total kinetic energy afterthe collision

SPM 2010 Question 4

3. Diagram 3 shows two identical wooden blocks, r and s, placed on trolleys P and q respectively.

What happens to the wooden blocks R and s when trolley P collides with the stationary trolley

Q?

R S

A Pushed to the right Pushed to the right

B Pushed to the right Pushed to the left

C Pushed to the left Pushed to the left

D Pushed to the left Pushed to the rightSPM 2010 Question 10

4. In which situation can the principle of conservation of momentum be applied?

SPM 2011 Question 5

5. Diagram 3 shows three identical coins, P, Q and R, at rest on a horizontal surface.


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What will happen when P collides with Q?

P Q R

A Moves Stationary Stationary

B Stationary Stationary Moves

C Moves Moves Stationary

D Moves Stationary Moves

2.5 The Effect of a Force

SPM 2006 Question 9

1. The diagram shows forces, F1and F2, exerted on a wooden block placed on a table surface. Thefriction between the block and the table surface is 2 N.

Which pair of forces F1and F2causes the wooden block to move with an acceleration?

F1/N F2/NA. 5 7B. 3 5C. 6 4D. 3 2E. 4 1

SPM 2007 Question 7

2. Diagram 4 shows a car with a mass of 1000 kg moving with an acceleration of 2 m s-2. There is africtional force of 900 N acting on the car.

What is the force exerted by the engine of the car?

A. 900 NB. 1 100 N C. 2 000 ND. 2 900 N


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SPM 2010 Question 8

3. Diagram 5 shows a toy car of mass 4 kg. The car is pushed forward by a force of 10 N. Thefrictional force between the toy car and the floor is 2 N.

What is the acceleration of the toy car?

A. 20 m s-2B. 12 m s-2 C. 5 m s

-2

D. 2 m s-2SPM 2010 Question 3

4. Diagram 3.1 shows a man pushing a broken-down car with passengers in it. The car moves witha small acceleration.

Diagram 3.2 shows the man pushing the same car with the same force with no passenger in it.

The car moves with a bigger acceleration.

Based on the above information and observation:

(a) State one suitable inference. [1 mark](b) State onesuitable hypothesis. [1 mark](c) With the use of apparatus such as a trolley, slotted weight, ticker timer and other

apparatus, describe oneexperiment to investigate the hypothesis sated in 4(b).

In your description, state clearly the following:

(i) Aim of the experiment.(ii) Variables in the experiment.


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(iii)List of apparatus and materials.(iv)Arrangement of the apparatus.(v) The procedure of the experiment which include the method of controlling the



2.6 Impulse and Impulsive force

SPM 2005 Question 7

1. The diagram shows an athlete performing the high jump.

What is the function of the mattress?

A. To reduce the collision time between the athlete and the mattressB. To reduce the change of momentum of athlete when he hits the mattressC. To reduce the impulsive force acting on the athlete when he hits the mattress

SPM 2006 Question 5

2. Diagram 2 shows a parachutist landing with his legs bent.

Why does the parachutist bend his legs?

A. To lengthen the time of impact of his feet with the groundB. To shorten the time of impact of his feet with the groundC. To lengthen the time of falling to the ground

SPM 2007 Question 8


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3. Diagram 5 shows a box with a mass of 55 kg being dropped from a helicopter. At the momentbefore touching the ground, the velocity of the box is 12 m s

-1. The box stops 2 seconds after

touching the ground.

What is the magnitude of the impulse force acted on the box?

A. 660 NB. 330 N C. 122 ND. 110 N

SPM 2009 Question 7

4. Diagram 5.1 and diagram 5.2 show two methods of catching a ball.

Which of the following explains the magnitude of the impulsive force on the hands when

catching the ball?

Diagram 5.1 Diagram 5.2A Small Small

B Small Big

C Big Small

D Big Big

SPM 2011 Question 4

5. Diagram 2 shows an athlete bending his legs upon landing in a long jump event.


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The athlete bent his legs to reduce the

A. Impulse on his feetB. Impulsive force on his feetC. Velocity just before landingD. Time of impact between his feet and the sand

SPM 2009 Question 2

6.

Diagram 2 shows an egg being dropped onto a wooden block. The egg cracks after an impact.The velocity of the egg just before the impact is 5 m s

-1.

(a) Name the force involved during the impact. [1 mark](b) Give one reason why the egg cracked after the impact. [1 mark](c) The mass of egg is 0.05 kg.

Calculate the momentum just before the impact. [1 mark](d) Give one suggestion how you would avoid the egg from cracking when dropped from the

same height. [1 mark]

SPM 2011 Question 9

7. Diagram 9.1 shows a stroboscopic photograph of a hammer hitting a nail into a wooden block.The stroboscopic photograph is taken using a stroboscope and camera.


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Diagram 9.2 shows another stroboscopic photograph of the same hammer hitting a similar nail

into the same wooden block with different force.

(a) State the function of a stroboscope. [1 mark](b) Using Diagram 9.1 and Diagram 9.2.

(i) Compare the distance between the two consecutive images and the depth of nail thatpenetrates into the wooden block. [2 marks]

(ii) Relate the distance between the two consecutive images with the velocity of thehammer. [1 mark]

(iii)Relate the depth of nail that penetrates into the wooden block with the force exertedon the nail. [1 mark]

(iv)Deduce a relationship between the velocity of the hammer and the force exerted onthe nail. [1 mark]

(c) Diagram 9.3 shows a Taekwando exponent smashing a wooden block using his hand.


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Explain how the wooden block is smashed by the Taekwando exponent. [4 marks]

(d) Diagram 9.4 shows an archer aiming an arrow to a target board.

Using appropriate physics concept, explain the use of suitable equipments and tecniques

to improve his performance.

Your answer should include the following aspects:

(i) Mass of the arrow(ii) Shape of the arrow(iii)Elasticity of the howstring(iv)Strength fo the bow(v) Position of the aiming arrow compared to the centre of the target board. [10 marks]

2.7 Safety Features in Vehicles

SPM 2007 Question 9

1. Why are the front and rear sections of a car designed to crumple easily?A. To increase impact timeB. To decrease momentumC. To increase frictionD. To decrease impulse

SPM 2010 Question 7


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2. Diagram 4 shows a car.

The crumple zone is designed to

A. Reduce the momentumB. Increase the impulsive forceC. Lengthen the collision timeD. Turn the kinetic energy into gravitational potential energy


3. Diagram 11.1 shows the speed limit and the load limit of heavy vehicles such as buses andlorries.

(a) What is meant by speed? [1 mark](b) Using the concepts of momentum and inertia, explain why the speed limit and the load

limit must be imposed on heavy vehicles. [4 marks]

(c) Diagram 11.2 shows four tankers, P, Q, R and S, with different specifications.You are required to determine the most suitable tanker to deliver oil safely.

Study the specifications of all the four tankers from the following aspects:

- The type of brakes- The number of tires- The number and size of the tanks- The distance between the trailer and the tractorExplain the suitability of the aspects.

Justify your choice. [10 marks]


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(d) A tanker of mass 1800 kg accelerates from rest to a velocity of 45 km h-1in 10 s.(i) Calculate the acceleration of the tanker.(ii) Calculate the force acting on the tanker. [5 marks]

2.8 Gravity

SPM 2005 Question 4

1. The time taken for an object to fall from a height of hm from the earths surface is ts.If the gravitational acceleration on the Moon is 1.6 m s

-2, compare the time taken of the object

to fall from the same height on the Moon.

A. Same as tsB. Less than tsC. Longer than ts

SPM 2006 Question 8

2. Diagram 5 shows two metal spheres, P and Q.


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Which of the following statements is true when P and Q are in free fall?

A. The velocities of P and Q are the sameB. The acceleration of P and Q are the sameC. The momentum of P and Q are the sameD. The gravitational forces acting on P and on Q are the same

SPM 2006 Question 9

3.

Diagram 6 shows a load hanging on a spring balance in a stationary lift. The reading of thespring balance is 20 N.

What is the reading of the spring balance when the lift moves up with an acceleration of 2 m s-2

?

A. 16 NB. 18 NC. 20 N

D. 22 NE. 24 N


4. Diagram 7 shows a coin and a feather experiencing free fall in a vacuum container.


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Which physical quantity is constant?

A. VelocityB. Acceleration C. MomentumD. Kinetic energy


5. A brick falls from a height of 10 m. Calculate the time taken for the brick to reach the ground.A. 0.5 sB. 0.7 s C. 1.0 sD. 1.4 s

SPM 2008 Question 5

6. Diagram 3 shows two trolleys of different masses. Both trolleys move at the same velocity andfall over the edge of the table and hit the floor.

What is the same physics quantity for both trolleys?

A. Gravitational potential energyB. Time taken to hit the floorC. Kinetic energyD. Momentum

SPM 2008 Question 8

7. The forces are in equilibrium in all the phenomena below exceptA. A car descending a hill at constant velocityB. A lamp hanging at rest in a hallC. A mango falling from a treeD. A ship floating at rest in the sea


8. Diagram 5 shows a stroboscopic photograph of a ball dropped from a height.


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Which physics quantity remains constant as the ball falls?

A. VelocityB. Momentum C. AccelerationD. Kinetic energy

SPM 2009 Question 6

9. Diagram 6 shows a coconut falling from a tree.

Which graph shows the relationship between the gravitational force, F, acting on the coconut

and the mass, m, of the coconut?

SPM 2009 Question 8


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10.Which statement is correct about the earth gravitational force?A. Not all objects on the earth are influenced by the earth gravitational forceB. The earth gravitational force ins stronger when an object is further away from the centre

of the earth

C. The acceleration of all falling objects is influenced by the earth gravitational forceD. The earth gravitational force that acts towards the centre of the earth is uniform


11.Diagram 7 shows a feather and a stone falling freely in a vacuum.

Which statement is correct about the motion?

A. The feather and the stone fall with constant velocityB. The feather and the stone have the same kinetic energyC. The feather and the stone reach the ground at the same timeD. The gravitational force ac ting on the feather and the stone are the same

SPM 2008 Question 2

12.A student carries out an experiment to investigate the relationship between the height, h, ofthe raised end of an inclined plane and the acceleration, a, of a trolley as it moves freely down

the inclined plane. The experiment is carried out using a ticker-timer and ticker-tape.

The results of this experiment are shown in the graph of a against h in Diagram 2.1.

(a) Based on the graph in Diagram 2.1:(i) State the relationship between a and h. [1 mark](ii) Determine the value of a when h = 0.30 m.

Show on the graph how you determine the value of a.

a = _________________ m s-2 [3 marks]


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(iii)Calculate the gradient, m of the graph.Show on the graph how you determine m.

m = ___________________ [3 marks]

(b) The gradient, m, of the graph is given by the formulal

gm where g is the gravitational

acceleration and lis the length of the inclined plane.

In the experiment, l= 2.0 m. calculate the value of g.

g = __________________ [2 marks]

(c) The student repeats the experiment using another inclined plane of length, l= 1.5 m.The raised end of the inclined plane is fixed at height, h = 0.10 m.

Using the formula hl

ga and the value of g in 12(b), calculate the acceleration, a, of

the trolley.

a = ___________________ [2 marks]

(d)

State oneprecaution that should be taken to improve the result of this experiment.

[1 mark]

2.9 Forces in Equilibrium

SPM 2007 Question 6

1. Diagram 3 shows a car on tow.


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Which of the following vector diagram represents the resultant force, F, which acts on the car?


2. When an object is in equilibrium of forces, the objectA. Must be stationaryB. Must move with a uniform velocityC. Is either stationary or moving with a uniform velocityD. Either moves with a uniform velocity or with a uniform acceleration

SPM 2008 Question 7

3. F1, F2and F3are forces with the same magnitude acting on a wooden block. Which diagramshows the maximum resultant force acting on the wooden block?

SPM 2009 Question 9

4. Which diagram shows forces in equilibrium?


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SPM 2011 Question 6

5. Diagram 4 shows a boy pulling a block on a rough surface with force F.

Which diagram shows the action of forces on the block?

SPM 2005 Question 6

6. A student studies the effect of the movement of a lift on the readings of a weighing scale. Themass of the student is 50 kg.

In this study, the student stands on a weighing scale in a lift as shown in Figure 6.1


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He records the readings of the weighing scale when the lift is at rest, moving up with

acceleration, moving up with uniform velocity, moving down with uniform velocity and moving

down with deceleration.

The readings of the weighing scale in the study are shown in Table 6.1

Movement of the lift Readings of the weighing scale

At rest 50

Moving up with acceleration 60

Moving up with uniform velocity 50

Moving down with uniform velocity 50

Moving down with deceleration 60

(a) The mass of the student is 50 kg.What is the weight of the student in newton? [1 mark]

(b) State twotypes of movement of the lift when the reading on the weighing scale is equal tothe mass of the student. [2 marks]

(c) F is a resultant force that acts on the student.R is the normal reaction of the weighing scale on the student.

mis the mass of the student.

gis the gravitational acceleration.

Write a general equation to show the relationship between F, R, mand g. [1 mark]

(d) When the lift moves up with acceleration, the normal reaction is greater than his weight.Explain why. [2 marks]

(e) (i) What is observed on the reading of the weighing scale when the lift moves down withacceleration? [1 mark]

(ii) Give a reason for your answer in (e)(i). [1 mark]

Diagram 2006 Question 8

7. Diagram 8.1 and Diagram 8.2 show two identical mirrors which are hung on the wall usingstrings, of the same length.


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(a) Based on the situation in Diagram 5.1 and the situation in Diagram 5.2.(i) State the similarities about the magnitudes and directions of the forces F1and F2, F3

and F4.

Magnitudes: ____________________________________________________________

Directions: _____________________________________________________________

[2 marks]

(ii) What is the net force in both situations? [1 mark](iii)Based on the answers in 8(a)(i) and 8(a)(ii), name the physics concept involved.

[1 mark]

(b) (i) Another aircraft has F3greater than F4.Describe the motion of this aircraft. [1 mark]

(iii)Explain the answer in 8(b)(i). [2 marks]SPM 2010 Question 11

9. Diagram 11.1 shows a boy of mass 40 kg sliding in two identical flumes, one after another.

Wc= Component of weight parallel to slope

Diagram 11.1

Diagram 11.1(a) shows the boy sliding down the flume, which is inclined at 30.0oto the

horizontal.

Diagram 11.1(b) shows the boy stationary in the flume when the flume is inclined at 17.5oto

the horizontal.

The frictional force actin on the boy in both flumes is 120 N.

(a) What is the meaning of frictional force? [1 mark](b) Based on Diagram 11.1(a), calculate:

(i) The compon3ent of the weight parallel to the slope of the flume, Wc. [2 marks](ii) The resultant force acting on the boy. [1 mark]


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(iii)The acceleration of the boy. [2 marks](c) Using the concept of force, explain why the boy slides down the flume when the angle of

inclination is 30.0oand remains stationary when the angle of inclination is 17.5

o. [4 marks]

(d) Diagram 11.2 shows four lawnmovers, J, K, L and M with different specifications.You are required to determine the most suitable lawnmower to cut grass effectively.

Study the specification for the four lawnmowers based on following aspects:(i) Method of moving the lawnmower. [2 marks](ii) Mass of the lawnmower. [2 marks](iii)Size of the cutter blade. [2 marks]


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(iv)The angle between the handle and the horizontal line. [2 marks]Explain the suitability of each aspect and then determine the most suitable lawnmower.

Give a reason for your choice. [2 marks]

2.10 Work, Energy, Power and Efficiency

SPM 2005 Question 5

1. The diagram shows a student running up a staircase at a constant speed.

Which physical quantity increases while the student is running up the staircase?A. Inertia of the studentB. Momentum of the student C. Kinetic energy of the studentD. Potential energy of the student

SPM 2006 Question 4

2. Diagram 1 shows a weightlifter successfully lifting a load of 60 kg.

Calculate the work done in lifting the load.

A. 30 JB. 120 J C. 600 JD. 1 200 J

SPM 2006 Question 6

3. Diagram 3 shows a metal sphere oscillating on a frictionless track.


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Which of the following statement is true?

A. The kinetic energy of the metal sphere is minimum at RB. The potential energy of the metal sphere is maximum at PC. The principle of conservation of energy is not obeyedD. The total energy of the metal sphere at S is higher than that at R

SPM 2008 Question 9

4. Which situation shows no work being done?

SPM 2010 Question 9

5. Diagram 6 shows a wooden block and a weight connected by an inelastic string through africtionless pulley.


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What is the velocity at Q?

A. 2.4 m s-1B. 4.0 m s-1C. 7.8 m s-1D. 16.0 m s-1

SPM 2011 Question 9

8. Diagram 7 shows a stone on top of a smooth slope.

The stone slides down the slope and stops at points P.

What is the work done by the stone?

A. 14 JB. 18 J C. 140 JD. 180 J

SPM 2006 Question 6

9. Diagram 6.1 and Diagram 6.2 show a student throwing an iron ball in a shot put event usingdifference throwing techniques.The angles of projection and the force used by the student in both techniques are the same.


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(a) Observe Diagram 6.1 and Diagram 6.2.(i) Compare the distance of the hand movement to throw the iron ball. [1 mark](ii) Based on the answer n 9(a)(i), compare the work done by the student between the

two throwing techniques. [1 mark]

(iii)If the force which acts on the iron ball is 20 N and the distance of hand movement is0.5 m, calculate the work done by the student. [2 marks]

(b) (i) Based on the answer in 9(a)(i), state the relationship between the energy gained by theiron ball and the distance of projection. [1 mark]

(ii) State the principle involved. [1 mark]

(c) (i) Using diagram 6.1, what happens to the falling time if an iron ball of a bigger mass isused? [1 mark]

(ii) Give onereason for your answer in 9(c)(i). [1 mark]

SPM 2007 Question 4

10.Diagram 4 shows a worker lifting a load of mass 20 kg using a pulley system. The workerapplies a forces of 220 N to pull the rope down a distance of 0.5 m. the load is raised to a

height of 0.5 m.

(a) What is meant by work? [1 mark]


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(b) Calculate the work done(i) By the worker to pull the rope down a distance of 0.5 m. [2 marks](ii) On the load to raise it to a height of 0.5 m. [2 marks]

(c) (i) Compare the work done in 10(b)(i) and 10(b)(ii). [1 mark](ii) State why there is a difference between the work done in 10(b)(i) and 10(b)(ii).

[1 mark]

SPM 2010 Question 3

11.Diagram 5.1(a) shows a boy skating down a ramp from position X.Diagram 5.1 (b) shows the velocity-time graph of the boy from X to Z.

Diagram 5.2(a) shows the same boy skating down from position Y by using another ramp.

Diagram 5.2(b) shows the velocity-time graph of the boy from Y to Z.

Both ramps are of the same slope and surface.

(a) Name the physical quantity represented by the gradient of the velocity-time graph.[1 mark]

(b) Observe diagram 5.1(a) and diagram 5.2(a).(i) Compare the gravitational potential energy of the boy at x and Y. [1 mark](ii) Compare the velocity of the boy at Z in these two situations. [1 mark](iii)Compare the kinetic energy of the boy at Z in these two situations. [1 mark]

(c) Based on the answer in 11(b).


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(i) State the relationship between the gravitational potential energy and the kineticenergy of the boy. [1 mark]

(ii) State the physics concept involved. [1 mark](d) (i) Based on Diagram 5.1(a), what happens to the velocity of the boy when he skates from Z

to Q? [1 mark]

(ii) Give onereason for the answer in 11(d)(i). [1 mark]

12.2.12 Elasticity


1. The diagram shows a load M supported by the arrangement of springs P, Q and R. all thesprings are identical.

Which comparison is correct about the extension of P, Q and R?

A. P Q RB. Q R PC. R Q PD. Q P R


2. Which graph represents Hookes Law?

SPM 2010 Question 6


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3. Which graph shows the correct relationship between the force, Fand the extension,xof aspring?


4. Diagram 11.1 shows the apparatus set-up to study the elasticity of springs X and Y.

The relationship between length of springs X and Y when stretched by different force is shown

in diagram 11.2.

Which comparison about springs X and Y is correct?

A. X is harder than YB. The original length of X is longer than YC. To stretch 1 cm, work done on X is smaller than on Y.



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5. Diagram 13 shows three springs arrangements, P, Q and R. all springs used are identical.

Which comparison of the length of spring arrangements, P, Q and R is correct when weight of 1

kg is hung?

A. P Q RB. P R QC. R P QD. R Q P

SPM 2008 Question 9

6. (a) Diagram 9.1 shows two identical steel balls place onto spring M and spring N. Both springsare elastic and fixed to a horizontal surface. The springs are pushed down until the length of

spring M and spring N are the same.

Diagram 9.2 shows the maximum heights reached by the balls when the hands are

released.

[Assume spring M and spring N are of the same material, same coil diameter and same

original length]


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(ii) Vaulters movement(iii)Pole used(iv)Safety [10 marks]

SPM 2005 Question 1

7. A student carried out an experiment to study the relationship between the speed, v, of atrolley with the distance of compression, e, of a spring that pushed the trolley down a track.

A piece of ticker tape is fixed to the trolley which is placed on a friction compensated track.

The trolley is pushed back to compr3ess the spring to a distance of compression, e, eual to 2.0

cm, as shown in Figure 1.1.

The trolley is then released and it moves down the track with speed v.

A sectionof the ticker tape which represents the movement of the trolley when it reached the

end of the track, is taken. The actual size of the ticker tape is shown in Figure 1.2.

The above procedure is repeated by varying the values of e, to be 3.0 cm, 4.0 cm, 5.0 cm and6.0 cm. the actual sizes of the sections of the ticker tapes are shown in figures 1.3, 1.4, 1.5 and

1.6.

The speed, v, when the trolley reached the end of the track can be calculated using the

formula below:

Where x is length for 10 ticks as shown in figure 1.7. One tick is the time taken for the trolley to

move between two consecutive dots.


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(b) The spring constant, k, is given by the formulah

k 1 , where h is the gradient of the graph.

(i) Calculate the gradient, h, of the graph.Show on the graph how you calculate h.

h = __________ [3 marks]

(ii) Determine the value of k.k = __________ [1 mark]

(c) Another identical spring is connected in series to the end of the spring. The spring constant,k, of the two springs in series is given by the formula

kkk

11

'

1 .

Calculate k.

k' = __________ [3 marks]

(d) State twoprecautions that can be taken to improve the accuracy of the readings in thisexperiment. [2 marks]

SPM 2009 Question 3

9. Diagram 3.1 shows a worker carrying a gas tank. Diagram 3.2 shows the same worker carryingtwo gas tanks.


44/44

Observe the length of the spring in the suspension system of the motorcycle in both situations.

Based on the observation:

(a) State one suitable inference. [1 mark](b) State onesuitable hypothesis. [1 mark](c) With the use of apparatus such as spring, slotted weights and other apparatus, describe an

experiment framework to investigate the hypothesis sated in 9(b).

In your description, state clearly the following:(i) Aim of the experiment.(ii) Variables in the experiment.(iii)List of apparatus and materials.(iv)Arrangement of the apparatus.(v) The procedure of the experiment which include the method of controlling the



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Chapter 2 Forces and Motion (Exercise)