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Question

A bullet of mass 0.01kg moving at a speed of 500m/sec, strikes a block of mass 2kg, suspended by a rope of length 5m. If the block rises to a height of 0.1m, then with what velocity does the bullet emerge from the block?

A
220m/sec
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B
340m/sec
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C
120m/sec
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D
250m/sec
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Solution

The correct option is B 220m/sec
If block raises to height of 0.1m K.E of block after the bullet passes through it
at lowest point =mgh

12mv2=mgh

v=2gh

=2×9.8×0.1

=1.96=1.4m/s

Using momentum conservation,

0.01×500=1.4×2+0.01×v

52.8=0.01×v

v=220m/s

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