Danho
ZIMSEC A Level · 9164/4 · J2011

Mechanics Paper 4 June 2011

Questions
11
Total marks
24
Syllabus code
9164/4

Sit this paper online

Questions
11
Pass mark
7
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 13

[2 marks]Projectiles
A particle is projected at an angle θ\theta above the horizontal where θ=sin⁡−1(22)\theta=\sin^{-1}\left(\dfrac{\sqrt{2}}{2}\right). Find θ\theta in degrees.

Answer this when you sit the paper.

[2 marks]Projectiles
A particle is projected from a point O on horizontal ground with speed uu at 45∘45^{\circ} above the horizontal, and passes through the point (2b; 14b)\left(2b;\ \dfrac{1}{4}b\right) measured from O. Which expression gives u2u^{2}?
  1. Au2=167gb2u^{2}=\dfrac{16}{7}gb^{2}
  2. Bu2=167gbu^{2}=\dfrac{16}{7}gb
  3. Cu2=87gbu^{2}=\dfrac{8}{7}gb
  4. Du2=716gbu^{2}=\dfrac{7}{16}gb

Section b, Question 14

[3 marks]Kinematics under gravity
From a helicopter 492 metres above ground level, a grenade is projected vertically upwards with an initial velocity of 16 ms−1^{-1}. Taking g=9,81g=9,81 ms−2^{-2}, find the greatest height above ground level reached by the grenade, in metres.

Answer this when you sit the paper.

[2 marks]Kinematics under gravity
From a helicopter 492 metres above ground level, a grenade is projected vertically upwards with an initial velocity of 16 ms−1^{-1}. Taking g=9,81g=9,81 ms−2^{-2}, find the speed, in ms−1^{-1}, with which the grenade hits the ground.

Answer this when you sit the paper.

Section b, Question 15

[1 marks]Kinematics
A particle moves along a straight line with constant deceleration of 3 m/s2^{2} and passes a point Q with a velocity of 9 m/s. How many seconds after passing Q is the particle instantaneously at rest?

Answer this when you sit the paper.

[2 marks]Kinematics
A particle moves along a straight line with constant deceleration of 3 m/s2^{2} and passes a point Q with a velocity of 9 m/s. Find the displacement, in metres, of the particle from Q after 4 seconds.

Answer this when you sit the paper.

[2 marks]Kinematics
A particle moves along a straight line with constant deceleration of 3 m/s2^{2} and passes a point Q with a velocity of 9 m/s. Find the total distance, in metres, travelled by the particle in the first 4 seconds after passing Q.

Answer this when you sit the paper.

Section b, Question 16

[2 marks]Connected particles with friction
A particle P of mass 4.5 kg lies on a plane inclined at an angle θ\theta to the horizontal where sin⁡θ=35\sin\theta=\dfrac{3}{5}. Taking g=9,81g=9,81 ms−2^{-2}, find the normal reaction on P, in newtons, correct to 3 significant figures.

Answer this when you sit the paper.

[3 marks]Connected particles with friction
A particle P of mass 4.5 kg lies on a rough plane inclined at an angle θ\theta to the horizontal where sin⁡θ=35\sin\theta=\dfrac{3}{5}. It is joined by a light inextensible string over a smooth pulley to a particle Q of mass 6 kg hanging freely. Find the exact value of the coefficient of friction μ\mu for which the system is in limiting equilibrium.

Answer this when you sit the paper.

[3 marks]Connected particles with friction
A particle P of mass 4.5 kg lies on a rough plane inclined at θ\theta to the horizontal where sin⁡θ=35\sin\theta=\dfrac{3}{5}, joined by a light inextensible string over a smooth pulley to a particle Q of mass 6 kg hanging freely. The coefficient of friction between P and the plane is 15\dfrac{1}{5}. Taking g=9,81g=9,81 ms−2^{-2}, find the acceleration of the particles, in ms−2^{-2}, correct to 3 significant figures.

Answer this when you sit the paper.

[2 marks]Connected particles with friction
A particle Q of mass 6 kg hangs freely on a light inextensible string over a smooth pulley and accelerates downwards at 2,41 ms−2^{-2}. Taking g=9,81g=9,81 ms−2^{-2}, find the tension in the string, in newtons, correct to 3 significant figures.

Answer this when you sit the paper.

More sittings of this paper

The answers, and why they are the answers

Sit the paper here to see which ones you got right. Danho explains every question, keeps your score, and works without a connection.

Get it on Google PlayDownload on the App Store