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Q.

A juggler keeps four balls in air. He throws each ball vertically upwards with the same speed at equal interval of time. The maximum height attained by each ball is 20 m. Find kinetic energy of first ball when fourth ball is in hand. Assume that the mass of each ball is 10 grams

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a

0.5 J

b

2.5 J

c

1 J

d

1.5 J

answer is A.

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Detailed Solution

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Let the time of descent of each ball is t0

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         h=12gt02        or      20×210=t02        t0=2s

          Each ball remains in air for four seconds.  

Thus, the time interval between balls is 1 s

Therefore when 4th ball is in the hand, first ball is in descent and 1 second passed since its descent started.

The speed of first ball is  v=gt=10×1=10m/s

          The kinetic energy of the first ball is  

KE=12mv02=12×10×103×100=0.5  J

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