Question

A 1.0 kg ball drops vertically onto a floor from a height of 25 cm. It rebounds to a height of 4 cm. The coefficient of restitution for the collision is-

A. 0.16
B. 0.32
C. 0.4
D. 0.56

Answer 1

The coefficient of restitution for the collision between the ball and the floor is 0.4.

Step-by-step explanation:

The coefficient of restitution (c) is a measure of the elasticity of a collision between a ball and an object. It is defined as the ratio of the speeds after and before the collision.

For a ball bouncing off the floor, c can be calculated using the formula c = (h/H)^(1/2), where h is the height to which the ball bounces and H is the height from which the ball is dropped.

In this case, the ball drops from a height of 25 cm (0.25 m) and rebounds to a height of 4 cm (0.04 m). Plugging these values into the formula, we get c = (0.04/0.25)^(1/2) = 0.4.

Therefore, the coefficient of restitution for the collision is C. 0.4.