First slide

Coefficient of restitution

Question

If the coefficient of restitution between a ball and the floor is 0.5, what is the percentage loss of energy on each rebounding of a ball dropped from a height ?

Moderate

A

12.5%
B

25%
C

50%
D

75%

Solution

$w e k n o w t h a t e = \frac{v_{1} - 0}{v - 0} = \frac{v_{1}}{v} or 0 \cdot 5 = (v_{1} / v) or v_{1} = 0 \cdot 5 V P e r c e n t a g e l o s s o f K . E' i s g i v e n b Y [\frac{\frac{1}{2} m v^{2} - \frac{1}{2} m v_{1}^{2}}{\frac{1}{2} m v^{2}}] \times 100 = \frac{v^{2} - (0 \cdot 5 v)^{2}}{v^{2}} \times 100 = \frac{3}{4} \times 100 = 75 %$

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