First slide

Types of collision

Question

A metal ball falls from a height of 10 metro on a steel plate and bounces back to a height of 2 .5metre. The coefficient of restitution of the ball is

Moderate

A

0.5
B

0.25
C

0.75
D

0.33

Solution

The velocity with which the ball strikes the ground first time
$V = \sqrt{(2 gh)} The velocity with which it rebouonds V_{1} = ev = e \sqrt{(2 gh)} fr | e 1 y 16 ing the formula, v^{2} = u^{2} + 2 {gh}_{1}, we get 0 = e^{2} (2 gh) - 2 {gh}_{1} or c^{2} h = h_{1} ∴ e = \sqrt{(h_{1} / h)} or e = \sqrt{(2 \cdot 5 / 10)} = \sqrt{(0 \cdot 25)} = 0 \cdot 5$

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