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Question

A bullet of mass 10gm hits a fixed target and penetrates through 8cm in it before coming to rest. If the average resistance offered by the target is 100N, the velocity with which the bullet hits the target is,

A
20m/s
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B
25m/s
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C
40m/s
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D
50m/s
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Solution

The correct option is C 40m/s
Given ,

Distance, s=8cm=0.08m

u=?

v=0

Force, F=100N

Mass =10gm=0.01kg

By 2nd law of motion

F=ma

100=0.01×a

1000.01=a

a=10000m/s2

By equation,

v2u2=2as

0u2=2×10000×0.08

u2=1600

u=40m/s

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