A 500 g ball is released from a height of 4 m . Each time it makes contact with the ground it loses 25 % of its energy. Find the K E it possesses after 3 r d hit (take g = 10 m s - 2 )

Question

A 500 g ball is released from a height of 4 m . Each time it makes contact with the ground it loses 25 % of its energy. Find the K E it possesses after 3 r d hit (take g = 10 m s - 2 ), 15 J, 11.25 J, 8.44 J, none of these

MARKS App · Accepted Answer

Kinetic energy after first hit, K 1 = e 2 K 3 4 K = e 2 K ⇒ e 2 = 3 4 ( here e is coefficient of restitution ) Kinetic energy after third hit = e 2 3 K = 27 64 m g h = 27 64 1 2 × 10 × 4 = 27 5 16 = 135 16 = 8.44 J

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