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Q.

A highly elastic ball is released from rest at a distance above the ground and bounces up and down. With each bounce a fraction f = 1/10 of its kinetic energy is lost. The time for which the ball will continue to bounce is nearly( take g = 10m/s2, h = 5m)

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a

1 sec

b

38 sec 

c

84.3 sec

d

1.86 sec

answer is B.

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Detailed Solution

t=2hg(1+e1e);Ke=12mv2Kf=910(12mv2);v2=ev1910  v=e.ve=910t=2×510(1+9101910)=(10+9)2=38sec

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A highly elastic ball is released from rest at a distance above the ground and bounces up and down. With each bounce a fraction f = 1/10 of its kinetic energy is lost. The time for which the ball will continue to bounce is nearly( take g = 10m/s2, h = 5m)