Concepts Of Physics MCQ Edition [Volume 1]PhysicsCentre of Mass, Linear momentum, Collision

A ball drops to the ground from a height of 2.0 m and then rebounds to a height of 1.5 m . Determine the coefficient of restitution.

Options

A3 4
B3 2
C4 3
D2 3

Correct answer

B. 3 2

Step-by-step solution

The velocity of the ball just before hitting the ground is v₁ = 2gh₁ The velocity of the ball just after rebounding from the ground is v₂ = 2gh₂ The coefficient of restitution e is given by the ratio of velocity of separation to the velocity of approach: e = v₂ v₁ = h₂ h₁ Given h₁ = 2.0 m and h₂ = 1.5 m e = 1.5 2.0 = 3 4 = 3 2

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