CONFIDENTIAL*

Section A [ 15 marks ]Answer all questions in this section

1 Variation of the velocity v in m s-1 of an automobile with time t in second is given by

The units of a and b respectively are

A m s2 and m s4

B m-1 s3 and m-1 s4

C m s-2 and m s-3

D m s-3 and m s-4

2 Suppose , where A has dimensions LT, B has dimensions L2T-1, and C has dimensions LT2 . Then the values of the indices n and m are respectively:

A

B 2 and 3

C

D

3 A stone is thrown vertically upwards from the ground level, rises to a height h and then falls back to its starting point. Assuming that air resistance is negligible, which of the following graphs best shows how Ek, the kinetic energy of the stone, varies with s, the distance travelled?

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s0

EkA

h s0

EkB

h

s0

EkC

h s0

EkD

h

2

CONFIDENTIAL*

4 A base ball is thrown vertically into the air. The acceleration of the ball at its highest point is

A 9.8 m s-2 downwardsB 9.8 m s-2 upwardsC Changing suddenly from 9.8 m s-2 upwards to 9.8 m s-2 downwardsD Cannot be calculated without knowing the initial velocity

5 Which of the following pairs contains a vector and a scalar?

A displacement : accelerationB angular momentum : kinetic energyC momentum : torqueD power : speed

6. The diagram below shows three bodies of masses 5 kg, 10 kg and 20 kg connected by two light inelastic strings. The bodies are pulled by a force F = 700 N on a smooth surface.

What are the tension in the string T1 and T2 ?

T1 T2

A 400 N 600 NB 600 N 400 NC 200 N 800 ND 800 N 200 N

7 The graph below shows how the force acting upon an object varies with time.

Assuming the object moves in a straight line, what is its change of momentum?

A 40 kg m s-1 B 36 kg m s-1 C 20 kg m s-1 D 16 kg m s-1

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5 kg FSmooth surface

10 kg20 kgT1 T2

3

Daya/N

6

4

2

0 0 2 4 6

Time / s

Force / N

CONFIDENTIAL*

8 Two pendulum bobs of unequal mass are suspended from the same fixed point by strings of equal lengths. The lighter bob is drawn aside and then released so that it collides with the other bob on reaching the vertical position. The collision is elastic. What quantities are conserved in the collision?

A Both kinetic energy and angular momentum of the system.B Only kinetic energy.C Only angular momentum.D Angular speed of the lighter bob.

9. The engine power of a car of mass m is P. What is the minimum time taken for the car to accelerate from rest to a speed of v?

A B C D

10 The diagram below shows a block of mass m on an inclined plane at an angle to the horizontal.

If is the coefficient of friction between the block and the plane, the minimum value of F required to prevent the block from slipping down is

A mg sin B mg cos C mg(sin – cos ) D mg(sin + cos )

11 If the radius of curvature of a corner is r, the maximum speed of a car rounding the corner without sliding is directly proportional to

A B C D

12. Two point masses m and M are separated by a distance d. The gravitational force between them is F. If the distance between the masses is increased to 4d. What is the gravitational force between them?

A B 4F C D 16F

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m

F

4

CONFIDENTIAL*13 A block is pushed a distance 10 m along a plane horizontal surface by a force of magnitude 80 N. The frictional force opposing motion is 60 N. How much of the work done is converted to heat and how much is converted to kinetic energy of the block?

Heat / J Kinetic energy / J A 200 600 B 200 800 C 600 200 D 600 800

14 A communication satellite of mass m moves with uniform angular velocity in a circular orbit of radius r from the centre of Earth. What is the work done by the gravitational force on the satellite in one revolution?

A Zero B 2mr22 C mr32D mr22

15 A particle moves uniformly along a circular path. Which of the following correctly describe the linear velocity, angular velocity and linear acceleration of the particle?

linear velocity Angular velocity linear acceleration

A constant constant always changingB always changing constant zeroC constant always changing constantD always changing constant always changing

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CONFIDENTIAL*Answer all questions in this section

16. a) Define systematic error ,

………………………………………………………………………………………………

………………………………………………………………………………………………

[ 1 mark ]

b) A horizontal force of 20 N acts on an object of mass 2 kg on a smooth inclined plane as shown in diagram below.Find the magnitude of the resultant force acting on it ?

[ 4 marks ]

(c) State Newton’s first law. [2 marks]

………………………………………………………………………………………………….

………………………………………………………………………………………………….

(d) Water from a hose hits a wall perpendicularly with a speed of 20 ms-1.

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300

20 N

6

CONFIDENTIAL* (Assuming the water does not rebound. Density of water = 1000 kg m-3 ) .

(i) Calculate the pressure exerted on the wall. [2 marks]

(ii) What happens to the pressure if the water will to rebound? [1 mark]

…………………………………………………………………………………………

17. (a) Define gravitational field strength. [1 mark]

…………………………………………………………………………………………………….(b) The diagram shows the equipotential surface of the earth and its potential at various distances from the centre of the earth. Gravitational potential at A and B are -50.0 M J kg-1 and -58.0 M J kg-1 respectively. ( r = 6.8 x10 6 m, R = 6.81 x 10 6 m )

(i) Calculate the change in gravitational potential energy for a satellite of mass 500 kg which falls from point A to point B. [2 marks]

(ii) Calculate the gravitational field strength at point B. [2 marks]

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AB ••

Earth

r

R

CONFIDENTIAL*Section C [ 30 marks]

Answer any two questions in this section.

18.

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CONFIDENTIAL*19.

(ii) Why is it incorrect to call g (=9.8 ms-2) 'gravity' ? [2 marks]

20.

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