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ZIMSEC A Level · 9164/4 · N2012

Mechanics Paper 4 November 2012

Questions
10
Total marks
24
Syllabus code
9164/4

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Questions
10
Pass mark
6
Sit this paper

Answer every question in the printed order, get marked at the end, then see the answers.

The questions

Section b

Section b, Question 12

[3 marks]Resultant of two forces
Two concurrent coplanar forces of magnitude 4 N and 9 N act on a particle. The angle between the two forces is 40 degrees. Find the magnitude of their resultant.

Answer this when you sit the paper.

Section b, Question 13

[2 marks]Connected particles with friction

A particle of mass 2 kg is held at rest on a rough horizontal table, connected by a light inextensible string which passes over a smooth pulley at the end of the table to a particle of mass 5 kg which hangs freely. The coefficient of friction between the 2 kg particle and the table is 14\frac{1}{4}. The particles are released from rest.

Find, in terms of g, the acceleration of the particles.

Answer this when you sit the paper.

[2 marks]Connected particles with friction

A particle of mass 2 kg is held at rest on a rough horizontal table, connected by a light inextensible string which passes over a smooth pulley at the end of the table to a particle of mass 5 kg which hangs freely. The coefficient of friction between the 2 kg particle and the table is 14\frac{1}{4}. The particles are released from rest.

Find, in terms of g, the tension in the string.

Answer this when you sit the paper.

[2 marks]Connected particles with friction

A particle of mass 2 kg is held at rest on a rough horizontal table, connected by a light inextensible string which passes over a smooth pulley at the end of the table to a particle of mass 5 kg which hangs freely. The coefficient of friction between the 2 kg particle and the table is 14\frac{1}{4}. The particles are released from rest.

The tension in the string is 25g14\frac{25g}{14}. Find, in terms of g, the magnitude of the force exerted by the string on the pulley.

Answer this when you sit the paper.

Section b, Question 14

[2 marks]Kinematics under gravity

A stone is thrown vertically upwards from a point T, 1 m above ground level, with a speed of 12 ms−1^{-1}. Take g=9,81g=9,81 ms−2^{-2}.

Find the greatest height reached above its initial position.

Answer this when you sit the paper.

[2 marks]Kinematics under gravity

A stone is thrown vertically upwards from a point T, 1 m above ground level, with a speed of 12 ms−1^{-1}. Take g=9,81g=9,81 ms−2^{-2}.

Find the time taken by the stone to reach its greatest height.

Answer this when you sit the paper.

[3 marks]Kinematics under gravity

A stone is thrown vertically upwards from a point T, 1 m above ground level, with a speed of 12 ms−1^{-1}. Take g=9,81g=9,81 ms−2^{-2}.

The stone hits an obstacle and comes to an instantaneous rest 0,6 m before hitting the ground. Find the speed with which it hits the obstacle.

Answer this when you sit the paper.

Section b, Question 15

[2 marks]Projectiles

A ball is projected at an angle of 30 degrees above the horizontal with a speed of 36 ms−1^{-1} from a point 1,5 metres above the level ground. Take g=9,81g=9,81 ms−2^{-2}.

Find the greatest height reached above the point of projection.

Answer this when you sit the paper.

[3 marks]Projectiles

A ball is projected at an angle of 30 degrees above the horizontal with a speed of 36 ms−1^{-1} from a point 1,5 metres above the level ground. Take g=9,81g=9,81 ms−2^{-2}.

Calculate the time taken by the ball to reach the ground.

Answer this when you sit the paper.

[3 marks]Projectiles

A ball is projected at an angle of 30 degrees above the horizontal with a speed of 36 ms−1^{-1} from a point 1,5 metres above the level ground. Take g=9,81g=9,81 ms−2^{-2}.

Calculate the magnitude of the velocity with which the ball hits the ground.

Answer this when you sit the paper.

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