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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 100 N, the velocity with which the bullet hits the target is,

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20 m/s

25 m/s

40 m/s

50 m/s

answer is C.

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Detailed Solution

Given ,

F = 100N

Mass m = 10gm

we know that,

work done= change in kinetic energy,

$F \times x = \frac{1}{2} {mv}^{2} \Rightarrow v = \sqrt{\frac{2 Fx}{m}} \Rightarrow v = \sqrt{\frac{2 \times 100 \times \frac{8}{100}}{\frac{10}{100}}} = 40 m / s$

Hence the correct answer is 40m/s.

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