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
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a
0.5
b
0.25
c
0.75
d
0.33
answer is A.
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Detailed Solution
The velocity with which the ball strikes the ground first timeV=(2gh) The velocity with which it rebouonds V1=ev=e(2gh) fr|e1y 16ing the formula, v2=u2+2gh1, we get 0=e2(2gh)−2gh1 or c2h=h1 ∴ e=h1/h or e=(2⋅5/10)=(0⋅25)=0⋅5