ms.raja elgady/speed paper 3 · pdf file · 2016-12-15ms.raja elgady/speed paper 3...

MS.RAJA ELGADY/SPEED PAPER 31

1

1- Fig. 1.1 shows a model car moving clockwise around a horizontal circulartrack.

Examiner’sUse

direction ofmovement

modelcar

P

circulartrack

Fig. 1.1

(a) A force acts on the car to keep it moving in a circle.

(i) Draw an arrow on Fig. 1.1 to show the direction of this force. [1]

(ii) The speed of the car increases. State what happens to the magnitude of this force.

............................................................................................................................ [1]

(b) (i) The car travels too quickly and leaves the track at P. On Fig. 1.1, draw an arrow toshow the direction of travel after it has left the track. [1]

(ii) In terms of the forces acting on the car, suggest why it left the track at P.

............................................................................................................................. .....

............................................................................................................................... ...

............................................................................................................................ [2]


2

(c) The car, starting from rest, completes one lap of the track in 10s. Its motion is showngraphically in Fig. 1.2.

30

25speed /cm /s

20

15

10

5

00 1 2 3 4 5 6 7 8 9 10

time /s

Fig. 1.2

(i) Describe the motion between 3.0s and 10.0s after the car has started.

............................................................................................................................ [1]

(ii) Use Fig. 1.2 to calculate the circumference of the track.

circumference = ................................................ [2]

(iii) Calculate the increase in speed per second during the time 0 to 3.0s.

increase in speed per second = ................................................ [2]

[Total: 10]


3

2- A train has a total mass of 7.5 × 105 kg.

(a) The train accelerates from rest at a constant rate along a straight, horizontal track.It reaches a speed of 24m/s in 60s.

Calculate

(i) the train’s acceleration,

acceleration = .................................................. [2]

(ii) the resultant force acting on the train.

force = .................................................. [2]

(b) The train now travels with a constant speed of 24m/s along a straight, horizontal track.The total force opposing the motion due to friction and air resistance is 7.2 × 104 N.

(i) By considering the work done by the train’s engine in 1.0s, calculate its outputpower.

power = .................................................. [2]

ForExaminer’s

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4

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[Total: 8]

© UCLES 2011 0625/31/O/N/11 [Turn over© UCLES 2011 0625/31/O/N/11

MS.RAJA ELGADY/SPEED PAPER 3(ii) The train begins to travel up a slope.

Explain why the power of the train’s engine must be increased to maintain the speedof 24m/s.

..................................................................................................................................

............................................................................................................................. .....

..................................................................................................................................

............................................................................................................................. .....

............................................................................................................................. [3] [Total: 9]

33

[Total: 8]


MS.RAJA ELGADY/SPEED PAPER 33- (a) Define acceleration. Explain any symbols in your definition.

............................................................................................................................................ .......

.......................................................................................................................... .....................[1]

(b) Fig. 1.1 shows a graph of speed against time for a train. After 100s the train stops at astation.

30

speed 25m / s

20

15

10

50

0 20 40 60 80 100 120 140 160 180 200 220 240 260 280time /s

Fig. 1.1

(i) For the time interval between 40s and 100s, calculate the distance travelled by the train.

distance = ...........................................................[2]

(ii) The train stops for 80s, then accelerates to 30m/s with an acceleration of 0.60m/s2. Itthen travels at constant speed.

Complete the graph for the interval 100s to 280s, showing your calculations in the spacebelow.

44

[Total: 8]


MS.RAJA ELGADY/SPEED PAPER 3[5]

55

[Total: 8]


MS.RAJA ELGADY/SPEED PAPER 34- (a) Figs. 1.1 and 1.2 show speed-time graphs for two objects, each moving in a straight line.

speed speed

00 time

00 time

Fig. 1.1 Fig. 1.2

(i) Describe the motion of the object shown by the graph in Fig. 1.1.

............................................................................................................................. ..............

....................................................................................................... ....................................

(ii) Describe the motion of the object shown by the graph in Fig. 1.2.

............................................................................................................................. ..............

................................................................................................................................ ...........[3]

(b) On a day with no wind, a large object is dropped from a tall building. The object experiencesair resistance during its fall to the ground.

State and explain, in terms of the forces acting, how the acceleration of the object variesduring its fall.

.................................................................................................................. .................................

............................................................................................................................. ......................

........................................................................ ...........................................................................

............................................................................................................................. ......................

...................................................................................................................................................

............................................................................................................................. ......................

............................................................................................................................. ......................

............................................................................................... ............................................... [4]

[Total: 7]

22


MS.RAJA ELGADY/SPEED PAPER 35- Fig. 1.1 shows a rocket-powered sled travelling along a straight track. The sled is used to test

components before they are sent into space.

tracksled

Fig. 1.1

Fig. 1.2 is the speed-time graph for the sled from time t = 0s.

1000

speedm / s

800

600

400

2000

0 1.0 2.0 3.0time /s

4.0

Fig. 1.2

(a) On Fig. 1.2, mark a point labelled P to indicate a time when the acceleration of the sled is notconstant. [1]

(b) (i) Calculate the acceleration of the sled at t = 1.0s.

acceleration = ...........................................................[2]

(ii) Determine the distance travelled by the sled between t = 1.0s and t = 2.0s.

distance = ...........................................................[2]

33


MS.RAJA ELGADY/SPEED PAPER 3(c) The resultant force acting on the sled remains constant during the test.

Suggest why the acceleration of the sled is not constant.

........................................................................................................................................ ...........

...................................................................................................................... .........................[1]

[Total: 6]

44


MS.RAJA ELGADY/SPEED PAPER 36- A girl rides her bicycle along a straight level road. Fig. 2.1 shows a graph of her distance

moved against time.For

Examiner’sUse

400 D

C

300

distance /m

200

100B

A00 10 20 30 40 50 60

time /s

Fig. 2.1

(a) Describe her motion

(i) from A to B, ..............................................................................................................

(ii) from B to C, ..............................................................................................................

(iii) from C to D. ..............................................................................................................[3]

(b) Calculate

(i) her average speed from A to D,

average speed = ................................................. [2]

(ii) her maximum speed.

55


MS.RAJA ELGADY/SPEED PAPER 3maximum speed = ................................................. [3]

[Total: 8]

66


MS.RAJA ELGADY/SPEED PAPER 37- Fig. 1.1 shows the axes for a speed-timegraph.

30

ForExaminer’s

Use

speedm / s

20

10

00 1 2 3 4 5

time /s

Fig. 1.1

(a) An object A falls freely from rest with the acceleration due to gravity (g = 10m/s2). It isnot affected by air resistance.

On Fig. 1.1, draw the graph of the motion of object A. [1]

(b) Using your graph, or an alternative method, calculate the distance fallen in the first 2sby object A in part (a).

distance fallen = . ................................................. [2]

(c) A second object B falls through the air from rest, but is affected by air resistance. Itreaches a terminal velocity of 14m/s.

On Fig. 1.1, draw a possible graph for object B, including the region where it is travellingat terminal velocity. [1]

77



ForExaminer’s

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2 For8


MS.RAJA ELGADY/SPEED PAPER 3(d) (i) Suggest a possible difference between objects A and B that could lead to B reaching a

terminal velocity.

..................................................................................................................................

............................................................................................................................. .....

............................................................................................................................ [1]

(ii) Explain, in terms of the forces on B, why B reaches a terminal velocity.

..................................................................................................................................

............................................................................................................................. .....

..................................................................................................................................

............................................................................................................................. .....

............................................................................................................................ [2]

(e) Object A experiences a gravitational force of 2.0N.

(i) State the value of the weight of A.

weight = . ................................................. [1]

(ii) Calculate the mass of A.

mass = . ................................................. [1]

(f) Object A is floating in equilibrium on a liquid.

State the value of the upward force of the liquid on A.

upward force = ................................................ [1] [Total: 10]

ForExaminer’s

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2 For9


MS.RAJA ELGADY/SPEED PAPER 38- A large plastic ball is dropped from the top of a tall building.

Fig. 1.1 shows the speed-time graph for the falling ball until it hits the ground.

20

speedm / s

15

10

5

00 1 2 3 4 5 6

time / s

Fig. 1.1

(a) From the graph estimate,

(i) the time during which the ball is travelling with terminal velocity,

time = ................................................ [1]

(ii) the time during which the ball is accelerating,

time = ................................................ [1]

(iii) the distance fallen while the ball is travelling with terminal velocity,

distance = ................................................ [2]

(iv) the height of the building.

height = ................................................ [2]

ForExaminer’s

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2 For10



(b) Explain, in terms of the forces acting on the ball, why

(i) the acceleration of the ball decreases,

..................................................................................................................................

............................................................................................................................. .....

..................................................................................................................................

............................................................................................................................ [3]

(ii) the ball reaches terminal velocity.

................................................................................................................................. .

............................................................................................................................ [2] [Total: 11]

ForExaminer’s

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2 For11


MS.RAJA ELGADY/SPEED PAPER 39- (a) Fig. 3.1 shows a skier descending a hillside. Fig. 3.2 shows the speed/time graph of his

motion.

ForExaminer’s

Use

6

speedm / s 4

2

00 2 4 6 8

time /s

Fig. 3.1 Fig. 3.2

(i) How can you tell that the acceleration of the skier is constant during the 8s shownon the graph?

............................................................................................................................ [1]

(ii) Calculate the acceleration of the skier.

acceleration = ................................................ [2]

(b) Another skier starts from rest at the top of the slope. As his speed increases the frictionforce on the skier increases.

(i) State the effect of this increasing friction force on the acceleration.

............................................................................................................................ [1]

(ii) Eventually the speed of the skier becomes constant.

What can be said about the friction force when the speed is constant?

............................................................................................................................ [2]

ForExaminer’s

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2 For12


MS.RAJA ELGADY/SPEED PAPER 3(iii) 1. On the axes of Fig. 3.3, sketch a possible speed/time graph for the motion of

the second skier.For

Examiner’sUse

speed

00 time

Fig. 3.3

2. On your graph, mark with the letter A a region where the acceleration is notconstant. Mark with the letter B the region where the speed is constant. [4]

[Total: 10]

ForExaminer’s

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2 For13


MS.RAJA ELGADY/SPEED PAPER 310- (a) A stone falls from the top of a building and hits the ground at a speed of 32m/s.

The air resistance-force on the stone is very small and may be neglected.

(i) Calculate the time of fall.

time = ............................

(ii) On Fig. 1.1, draw the speed-time graph for the falling stone.

ForExaminer’s

Use

40

30

speedm/s

20

10

00 1 2 3 4

time/s

Fig. 1.1

(iii) The weight of the stone is 24N.Calculate the mass of the stone.

mass = ............................[5]

ForExaminer’s

Use

2 For14



ForExaminer’s

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2 For15


MS.RAJA ELGADY/SPEED PAPER 3(b) A student used a suitable measuring cylinder and a spring balance to find the density of a

sample of the stone.

(i) Describe how the measuring cylinder is used, and state the readings that aretaken.

..................................................................................................................................

............................................................................................................................. .....

..................................................................................................................................

............................................................................................................................. .....

(ii) Describe how the spring balance is used, and state the reading that is taken.

............................................................................................................................. .....

..................................................................................................................................

(iii) Write down an equation from which the density of the stone is calculated.

............................................................................................. .....................................

(iv) The student then wishes to find the density of cork. Suggest how the apparatus and themethod would need to be changed.

........................................................................................... .......................................

............................................................................................................................. .....

................................................................................... ............................................... [6]

ForExaminer’s

Use

2 For16


MS.RAJA ELGADY/SPEED PAPER 311- A bus travels from one bus stop to the next. The journey has three distinct parts. Stated in

order they areuniform acceleration from rest for 8.0s,uniform speed for 12s,non-uniform deceleration for 5.0s.

Fig. 1.1 shows only the deceleration of the bus.

ForExaminer’s

Use

15

speedm/s

10

5

00 5 10 15 20 25

time/s

Fig. 1.1

(a) On Fig. 1.1, complete the graph to show the first two parts of the journey. [3]

(b) Calculate the acceleration of the bus 4.0s after leaving the first bus stop.

acceleration = ........................[2]

(c) Use the graph to estimate the distance the bus travels between 20s and 25s.

estimated distance = ........................[2]

(d) On leaving the second bus stop, the uniform acceleration of the bus is 1.2 m/s2. Themass of the bus and passengers is 4000 kg.Calculate the accelerating force that acts on the bus.

force = ........................[2]

(e) The acceleration of the bus from the second bus stop is less than that from the first busstop.Suggest two reasons for this.

1. ......................................................................................................................................

............................................................................................................................. .............

ForExaminer’s

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2 For17


MS.RAJA ELGADY/SPEED PAPER 32. ......................................................................................................................................

............................................................................................................................. .........[2]

23


MS.RAJA ELGADY/SPEED PAPER 312- An object of weight W is suspended by two ropes from a beam, as shown in Fig. 1.1.

50.0 N 60°30° 86.6 N

W

Fig. 1.1

The tensions in the ropes are 50.0N and 86.6N, as shown.

(a) In the space below, draw a scale diagram to find the resultant of the two tensions.

Use a scale of 1.0cm = 10N.

Clearly label the resultant.

[3]

(b) From your diagram, find the value of the resultant.

resultant = ......................................................... [1]

(c) State the direction in which the resultant is acting.

................................................................................................... .......................................... [1] (d) Statethe value of W. W = ......................................................... [1] [Total: 6

23


MS.RAJA ELGADY/SPEED PAPER 313- Fig. 1.1 shows a car on a roller-coaster ride.

B

ForExaminer’s

Use

h

waterA

C

Fig. 1.1

mass of car = 600kgkinetic energy of car at point A = 160kJ

(a) Calculate the speed of the car at A.

speed = ................................................. [3]

(b) As the car travels from A to B, it loses 40kJ of energy due to friction.

The car just manages to roll over the crest of the hill at B.

Calculate the height h.

height h = ................................................. [2]

23



23


MS.RAJA ELGADY/SPEED PAPER 3(c) At C, the car is slowed down by a shallow tank of water and the kinetic energy of the car

is reduced to zero.

Make three suggestions for what happens to this kinetic energy.

1. ................................................................................................. .....................................

2. ............................................................................................................................. .........

3. ........................................................................... ........................................................... [3]

[Total: 8]

23


MS.RAJA ELGADY/SPEED PAPER 313- (a) Underline the vectors in the following list of quantities.

density energy force mass velocity volume [2]

(b) A small metal ball is projected into the air with a velocity of 40m/s vertically upwards.

The graph in Fig. 2.1 shows how the velocity changes with time until the ball reaches itsmaximum height.

ForExaminer’s

Use

40

velocitym / s

20

00 1.0 2.0 3.0 4.0 5.0 6.0

time /s

–20

–40

Fig. 2.1

Use the graph to find,

(i) the time at which the ball reaches its maximum height,

time = .................................................. [1]

(ii) the deceleration of the ball,

deceleration = .................................................. [2]

23



23


MS.RAJA ELGADY/SPEED PAPER 3(iii) the maximum height reached by the ball.

maximum height = .................................................. [2]

(c) On Fig. 2.1, add a line to the graph to show how the velocity of the ball changes after itreaches its maximum height.Your line should extend to time 6.0s. [1]

[Total: 8]

23


MS.RAJA ELGADY/SPEED PAPER 314- Fig. 2.1 is a head-on view of an airliner flying at constant speed in a circular horizontalpath.

The centre of the circle is to the left of the diagram.

ForExaminer’s

Use

Fig. 2.1

(a) On Fig. 2.1, draw the resultant force acting on the airliner. Explain your answer.

............................................................................................................................. .............

..........................................................................................................................................

............................................................................................................................. ........ [3]

(b) The weight of the airliner is 1.20 × 106 N and there is an aerodynamic lift force of1.39 × 106 N acting at 30° to the left of the vertical.

By drawing a scale vector diagram, or otherwise, show that the resultant of these twoforces is in the same direction as the resultant force you drew in (a).

23


MS.RAJA ELGADY/SPEED PAPER 3[3]

23



23


MS.RAJA ELGADY/SPEED PAPER 3(c) The speed is constant as the airliner flies in this circular path.

State and explain what is happening to the velocity.

..........................................................................................................................................

............................................................................................................................. .............

..........................................................................................................................................

............................................................................................................................. ........ [2] [Total: 8]

23


MS.RAJA ELGADY/SPEED PAPER 315- A solid plastic sphere falls towards the Earth.

Fig. 1.1 is the speed-time graph of the fall up to the point where the sphere hits the Earth’ssurface.

ForExaminer’s

Use

speedm / s

140

120

100

R S T

80

60Q

4020

0P

0 10 20 30 40 50 60 70 80 90 100 110time /s

Fig. 1.1

(a) Describe in detail the motion of the sphere shown by the graph.

.............................................................................................................................. ............

...................................................................................................................... ....................

............................................................................................................................. .............

.............................................................................................. ............................................

............................................................................................................................. ........ [3]

23


MS.RAJA ELGADY/SPEED PAPER 3(b) On Fig. 1.2, draw arrows to show the directions of the forces acting on the sphere when

it is at the position shown by point S on the graph. Label your arrows with the names ofthe forces. [2]

Fig. 1.2

(c) Explain why the sphere is moving with constant speed at S.

............................................................................................................................. .............

.............................................................................................................................. ............

............................................................................................................................. ........ [2]

(d) Use the graph to calculate the approximate distance that the sphere falls

(i) between R and T,

ForExaminer’s

Use

(ii) between P and Q.distance = ………………. [2]


MS.RAJA ELGADY/SPEED PAPER 316- (a) Fig. 1.1 shows the distance-time graphs for three different objects A, B and C.

distance

0 0

AB

C

time

Fig. 1.1

Describe the motion of each of the objects A, B and C by selecting the appropriate descriptionfrom the list below.

constant speed increasing speed decreasing speed stationary

A ........................................................................................................................... ....................

B ................................................................................................ ...............................................

C ............................................................................................................................. ..................[2]



0

(b) Fig. 1.2 shows the speed-time graphs for three more objects D, E, and F.

speed D

E

F

0time

Fig. 1.2

Describe the motion of each of the objects D, E and F by selecting the appropriate descriptionfrom the list below.

constant speed constant acceleration increasing acceleration stationary

D ........................................................................................................................... ....................

E ...............................................................................................................................................

F ............................................................................................................................. ...................[2]


MS.RAJA ELGADY/SPEED PAPER 3(c) Fig. 1.3 shows a person bungee-jumping from a bridge. The person is attached to a long

elastic rope.

strong fixed point

rope

jumper

river

Fig. 1.3

(i) In 1.5s the speed of the jumper increases from zero to 10.5m/s.

Calculate her average acceleration during this time.

acceleration = ................................................[2]

(ii) At one point during the fall, she reaches her maximum speed.

1. State her acceleration at this point.

acceleration = ................................................[1]

2. What can be said about the forces acting on her at this point?

............................................................................................................................. ..............


MS.RAJA ELGADY/SPEED PAPER 3............................................................................................................................. ..........[1]

[Total: 8]

ms.raja elgady/speed paper 3 · pdf file · 2016-12-15ms.raja elgady/speed paper 3...

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