**Q1: **

A smooth sphere was moving on a smooth horizontal surface at a speed of when it collided with a smooth vertical wall. The motion direction of the sphere at the instant of collision formed an angle of with the wall. Its speed immediately after the collision was . Determine the coefficient of restitution between the sphere and the wall.

- A
- B
- C
- D
- E

**Q2: **

A smooth snooker ball is moving at a speed of 7.9 m/s on a smooth snooker table. It strikes one of the smooth cushions of the table at an angle of . Given that the coefficient of restitution between the ball and the cushion is , find the ballβs speed and the angle its path makes with the cushion after the impact, rounding the answer to one decimal point.

- A 7.9 m/s,
- B 4.5 m/s,
- C 7.9 m/s,
- D 4.5 m/s,
- E 19.8 m/s,

**Q3: **

A small smooth sphere was moving in the horizontal -plane at m/s when it collided with a vertical wall whose base is the -axis. Given that the coefficient of restitution between the sphere and the wall is , find the velocity of the sphere after the collision.

- A m/s
- B m/s
- C m/s
- D m/s
- E m/s

**Q4: **

A ball of mass 84 g, moving at 90 cm/s, passesd a certain point. One minute later,
another body of mass 20 g passed the same point. It was moving at 55 cm/s and was accelerating
at 5 cm/s^{2}. The two balls collided and coalesced into one body. Given that a resistance force
of 190 dynes acted on this compound body, determine the time taken for it to come to rest.

**Q5: **

A smooth ball hit a smooth wall at an angle of to the wall and rebounded at an angle of to the wall. What proportion of the ballβs kinetic energy was lost due to the impact?

- A
- B
- C
- D
- E

**Q6: **

A smooth ball vertically fell, striking a smooth plane inclined at to the horizontal such that . Given that the ballβs speed just before impact was 9.6 m/s and that its speed after impact was , find, correct to two decimal places, the coefficient of restitution between the ball and the plane.

**Q7: **

A smooth ball hit a smooth wall at an angle of to the wall and rebounded at an angle of to the wall. Determine the coefficient of restitution between the ball and the wall.

- A
- B
- C
- D
- E

**Q8: **

A smooth ball hit a smooth wall at to the wall and rebounded at a right angle to its original direction. Find, correct to one decimal place, the coefficient of restitution between the ball and the wall.