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Q.

A ball of mass 0.15 kg is dropped from a height 10 m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is (g = 10 m/s2) nearly :

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a

4.2 kg m/s

b

2.1 kg m/s

c

1.4 kg m/s

d

0 kg m/s

answer is C.

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Detailed Solution

Velocity while hitting the ground
v=2×10×10=102
As it goes to the same height it will return with same speed.
So change in velocity v-(-v) = 2v
Change in momentum or impulse
= 2mv
=2×0.15×102=32=4.2kgm/s

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A ball of mass 0.15 kg is dropped from a height 10 m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is (g = 10 m/s2) nearly :