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Q.

From the top of a tower of height 100m a 10 gm block is dropped freely and a 6gm bullet is fired vertically upwards from the foot of the tower with velocity 100ms-1 simultaneously. They collide and stick together. The common velocity after collision is (g=10ms-2)

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a

27.5ms-1

b

150ms-1

c

40ms-1

d

100ms-1

answer is A.

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Detailed Solution

time, t=huFor freely falling body u1 = gt For upward projected body u2 = u - gt-m1u1+m2u2=m1+m2v
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From the top of a tower of height 100m a 10 gm block is dropped freely and a 6gm bullet is fired vertically upwards from the foot of the tower with velocity 100ms-1 simultaneously. They collide and stick together. The common velocity after collision is (g=10ms-2)