xavier paper 2

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AS Level Physics Department

Internal Examination # 1

Examination Date: 22nd

September, 2011

PHYSICS

Paper 2 AS Structured Questions

Candidates must answer on the Question Paper. Please complete the following details.

Students Name: Group Number: Roll Number:

READ THESE INSTRUCTIONS FIRST

The number of marks is given in brackets [] at the end of each question or part question.

ONLY FOR EXAMINERS USE (Do not write anything in this table )

Question Number Total Marks Marks Obtained

1. 10

2. 8

3. 10

4. 6

5. 4

6. 10

7. 12

Total 60

Examiner's Signature:


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Answerall the questions in the spaces provided.

1 (a) Distinguish between scalarquantities and vectorquantities.

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

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

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

(b) In the following list, underline all the scalar quantities.

acceleration force kinetic energy mass power weight [1]

(c) A stone is thrown with a horizontal velocity of 20 m s1 from the top of a cliff 15 m high.

The path of the stone is shown in Fig. 1.1.

20ms1

15m

ground

cliff

Fig. 1.1

Air resistance is negligible.

For this stone,

(i) calculate the time to fall 15 m,

time = .............................................. s [2]

(ii) calculate the magnitude of the resultant velocity after falling 15 m,

resultant velocity = ........................................ m s1 [3]

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2 (a) Explain what is meant by work done.

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

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

(b) A car is travelling along a road that has a uniform downhill gradient, as shown inFig. 2.1.

25ms1

7.5

Fig. 2.1

The car has a total mass of 850 kg. The angle of the road to the horizontal is 7.5.

Calculate the component of the weight of the car down the slope.

component of weight = ............................................. N [1]

(c) The car in (b) is travelling at a constant speed of 25 m s

1

. The driver then applies thebrakes to stop the car. The constant force resisting the motion of the car is 4600 N.

(i) Show that the deceleration of the car with the brakes applied is 4.1 m s2.

[1]

(ii) Calculate the distance the car travels from when the brakes are applied until the

car comes to rest.

distance = ............................................. m [1]

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(iii) Calculate

1. the loss of kinetic energy of the car,

loss of kinetic energy = .............................................. J [2]

2. the work done by the resisting force of 4600 N.

work done = .............................................. J [1]

(iv) The quantities in (iii) part 1 and in (iii) part 2 are not equal. Explain why these twoquantities are not equal.

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

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

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3 (a) Explain what is meant by centre of gravity.

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

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

(b) Define momentof a force.

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

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

(c) A student is being w eighed. The student, of w eight W, stands 0.30 m from end A of auniform plank AB, as shown in Fig. 3.1.

0.30m 0.20m

0.50m2.0m

80N 70N

A

W

BP

Fig. 3.1 (not to scale)

The plank has weight 80 N and length 2.0 m. A pivot P supports the plank and is 0.50 mfrom end A.

A weight of 70 N is moved to balance the weight of the student. The plank is in equilibriumwhen the weight is 0.20 m from end B.

(i) State the two conditions necessary for the plank to be in equilibrium.

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

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

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

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

[2]

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(ii) Determine the weight Wof thestudent.

W= ............................................. N [3]

(iii) If only the 70 N weight is moved, there is a maxim um weight of student that canbe determined using the arr angement shown in Fig. 3.1. State and e xplain one

change that can be made to increase this maximum weight.

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

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

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

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9702/23/M/J/11 UCLES 2011

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1 (a) For each of the following, tick [] one box to indicate whether the experimental techniquewould reduce random error, systematic error or neither. The first row has been completedas an example.

random error systematic error neither

keeping your eyein line with thescale and theliquid level for asingle reading ofa thermometer

averaging manyreadings of thetime taken for aball to roll down aslope

using a linearscale on anammeter

correcting fora non-zeroreading when amicrometer screwgauge is closed

[2]

(b) The measurement of a particular time interval is repeated many times. The readings arefound to vary. The results are shown in Fig. 1.1.

10.00

2

4

6

8number

of readings

10.2 10.4

reading of time interval/s10.6 10.8

Fig. 1.1

The true value of the time interval is 10.1 s.

4.

4.1

4.1

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(i) State how the readings on Fig. 1.1 show the presence of

1. a systematic error,

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

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

2. a random error.

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

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

(ii) State the expected changes to Fig. 1.1 for experimental measurements that are

1. more accurate,

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

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

2. more precise.

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

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

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4.1

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9702/23/M/J/11 UCLES 2011

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3 A helicopter has a cable hanging from it towards the sea below, as shown in Fig. 3.1.

sea

cable

helicopter

Fig. 3.1

A man of mass 80 kg rescues a child of mass 50.5 kg. The two are attached to the cableand are lifted from the sea to the helicopter. The lifting process consists of an initial uniformacceleration followed by a period of constant velocity and then completed by a final uniformdeceleration.

(a) Calculate the combined weight of the man and child.

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

(b) Calculate the tension in the cable during

(i) the initial acceleration of 0.570 m s2,

tension = ............................................. N [2]

(ii) the period of constant velocity of 2.00 m s1.

tension = ............................................. N [1]

6.16.

6.1

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(c) During the final deceleration the tension in the cable is 1240 N. Calculate thisdeceleration.

deceleration = ........................................ m s2 [2]

(d) (i) Calculate the time over which the man and child are

1. moving with uniform acceleration,

time = .............................................. s [1]2. moving with uniform deceleration.

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

(ii) The time over which the man and child are moving with constant velocity is 20 s.On Fig. 3.2, sketch a graph to show the variation with time of the velocity of theman and child for the complete lifting process.

500

1.0

2.0

velocity

/ms1

10 15

time/s20 25 30 35

Fig. 3.2[2]

6.2

6.2

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9702/22/O/N/09 UCLES 2009

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3 A small ball is thrown horizontally with a speed of 4.0 m s1. It falls through a vertical height of1.96 m before bouncing off a horizontal plate, as illustrated in Fig. 3.1.

4.0ms1

1.96m

0.98mplate

Fig. 3.1

Air resistance is negligible.

(a) For the ball, as it hits the horizontal plate,

(i) state the magnitude of the horizontal component of its velocity,

horizontal velocity = ....................................... m s1 [1]

(ii) show that the vertical component of the velocity is 6.2 m s1.

[1]

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7.1

7.1

7.

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UCLES 2009

(b) The components of the velocity in (a) are both vectors.

Complete Fig. 3.2 to draw a vector diagram, to scale, to determine the velocity of theball as it hits the horizontal plate.

Fig. 3.2

velocity = .............................................m s1]

at ............................. to the vertical[3]

(c) After bouncing on the plate, the ball rises to a vertical height of 0.98 m.

(i) Calculate the vertical component of the velocity of the ball as it leaves the plate.

vertical velocity = ....................................... m s1 [2]

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7.2

7.2

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(ii) The ball of mass 34 g is in contact with the plate for a time of 0.12 s.

Use your answer in (c)(i) and the data in (a)(ii) to calculate, for the ball as it bounceson the plate,

1. the change in momentum,

change = ................................... kg m s1 [3]

2. the magnitude of the average force exerted by the plate on the ball due to thismomentum change.

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

xavier paper 2

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