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Q.

A rubber ball dropped from a height of 80m (g=10m/s2)  falls on the roof of an elevator going up at 2 m/s. If the collision of the ball with the elevator is elastic, the ball rebounds with a velocity of

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a

20m/s

b

44m/s

c

24m/s

d

26m/s

answer is B.

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Detailed Solution

v1=(m1−m2m1+m2)u1+2m2u2m1+m2 u=2gh=2×10×80                =1600                u1=40                v1=−u1+2u2                =−40+2(−2)                =−44m/s
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A rubber ball dropped from a height of 80m (g=10m/s2)  falls on the roof of an elevator going up at 2 m/s. If the collision of the ball with the elevator is elastic, the ball rebounds with a velocity of