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Question

A 15 g bullet is fired horizontally at a speed of 350 m/s into 1.2 kg block that hangs by a vertical string as shown below. The bullet remains embedded in the block. Find the speed of the bullet and the block.


A
10 m/s
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B
22.5 m/s
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C
350 m/s
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D
4.32 m/s
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Solution

The correct option is D 4.32 m/s


Let V1= speed of bullet =350 m/s
V2= initial speed of block =0
V= final speed of block & bullet
(final speed will be same for the block & bullet because bullet is embedded in the block)
By conservation of momentum,
Pi=Pf
m1v1+m2v2=(m1+m2)V
(0.015)×350+1.2×0=(0.015+1.2)×V
V=4.32 m/s

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