Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

A ball is dropped from a height h1 onto a fixed horizontal plane and rebounds to a height h2. The coefficient of restitution e between the ball and the plane is given by:
Options
A h2 / h1
B √(h2 / h1)
Correct Answer
C (h2 / h1)²
D h1 / h2
Correct Answer

Option B is the correct answer.

Detailed Explanation

For a ball bouncing on a fixed plane, the speed just before impact u = √(2gh1) and the speed just after impact v = √(2gh2). The coefficient e = v/u = √(2gh2)/√(2gh1) = √(h2/h1).

Hint

Speed is proportional to the square root of the drop/rebound height.

Question Info