1. A football player bounced the ball off their head as shown while diving sideways

Which of the following gives a Newton’s Third Law pair of forces that applies to this situation?

2. A ball rolls horizontally off the edge of the top of a cliff. It hits the ground at a distance 2.0$m$ from the base of the cliff with a vertical speed of 20ms^−1. What is the height of the cliff?

3. An object sits on a rotating horizontal disc. The disc rotates from rest with uniform angular acceleration $\alpha$. After time $t$ the object slides off of the disc.

What is the linear speed of the object at this time?

4. A ball is projected with an initial speed of 2ms^−1 making an angle of 35o with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

5. The take off speed of a passenger aircraft is 75.0 ms^−1. A plane starts from rest and accelerates at a steady rate of 1.25 ms^−2. Which of the following correctly states the minimum duration of taxiing, and the minimum length of the runway needed for the take off?

6. A ball is projected in an environment where air resistance can be ignored.

Which graph shows the variation of the resultant force $R$ acting on the ball with the height $h$ of the object?

A.			B.
C.			D.

7. An object moves at constant velocity for a period of time, after which it undergoes uniform deceleration until it comes to rest. A velocity-time graph is plotted for this motion. On the graph, which of the following represents the displacement of the object?

8. A box of mass m is pulled across a horizontal surface with a force $F$ as shown in the diagram. The coefficient of dynamic friction between the box and the surface is µ. What is the energy transferred to thermal energy while a box is moved by a distance of $d$?

9. A block of wood is placed on a rough inclined surface. Which of the diagrams below correctly represents the forces acting on the block when it is at rest?

A.			B.
C.			D.

10. A projectile is fired with a launch angle $\alpha$ above the horizontal and an initial velocity of 40 m s^−1 towards a cliff that rises 300 m above the plane of projection. The cliff is 120 m from the launch point.

Assuming that air resistance has no effect on the motion, then the time of flight taken by the projectile to reach the plane of the cliff, is given by;

11. Which of the following is not a suitable SI unit of energy?

12. A builder uses a block and tackle pulley system to lift a bundle of materials of mass 15 kg to the top of a building of height 6 m in 9 s. What is the power delivered to the bundle?

13. As a truck is brought to rest, the brakes apply a force of 5.1×10^3 N. Which answer best describes the magnitude of the change in momentum of the truck if the brakes are applied for 3.0 $s$?

14. A car of mass $m$ and a truck of mass $3m$ travelling in opposite directions collide and stick together. The speeds of the car and the truck just before the crash are $2v$ and $v$ respectively. What is their speed after the collision?

15. The Sankey diagram below shows the energy degraded at different stages of a nuclear power plant.

Which of the following sections corresponds to the stage with the highest energy degradation?

16. A coin is tossed vertically upwards from a height of 1.5m. What is the maximum height reached above the ground if the coin was projected with an initial velocity of 3.0 ms^−1? (Take g=10 ms^−2)

17. An airplane in straight level flight experiences a lift force $L$ that is proportional to the speed of the plane and is perpendicular to the axis of the wings and as shown in diagram.

On a banked turn at the same speed, the wings make an angle $\theta$ with the horizontal.

Which of the following gives the centripetal force on the airplane?

18. Which of the following units is not a unit of power?

19. An electric motor is used to raise a block of mass 18.0 kg vertically to the top of a building at a constant speed of 1.5ms^−1. If the power rating of the motor is 297 W, calculate the efficiency of the motor.

20. The graph shows the variation with time t of the velocity $v$ of a car traveling along a straight and level road.

What time does it take for the car to travel a distance of 31.5 m from t = 0?

21. The engine of a racing car provides a forward thrust of $800N$. The average of the total resistive forces acting on the car is $300N$ and the car covers a distance of $1.0km$ in $10s$.

What is the average output power of the engine?

22. A spring of negligible mass and length of lolo is attached to a fixed point. When the spring is extended by an external force $F$, the length of the spring increases to $l$. The graph shows how the length of the spring varies with the tension in spring. The tension in the spring is equal to $k\Delta l$, where k is a constant and $\Delta l$ is the extension of the spring.

What are the gradient and y-intercept of the graph?

23. The graph shows the variation of velocity $v$ with time $t$ of a car.

Which of the following can be deduced from the graph?

I. Displacement
II. Acceleration
III. Change in velocity

24. Two cyclists, $A$ and $B$, start riding their bicycles from the same point. Cyclist $A$ moves northwards with a speed of $4v$ relative to the ground, and cyclist $B$ moves westwards with a speed of $3v$ relative to the ground.

The magnitude of the velocity of the Cyclist $A$ relative to the Cyclist $B$ is

25. A stone attached to one end of a rod rotates in a vertical circle at a constant speed. Two positions of the stone at two different instants, X and Y, are shown in the diagram below.

In the table below, which row is correct for the centripetal force acting on the stone at X and Y?