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Question: If a bullet of mass 5 gm moving with velocity 100 m /sec, penetrates the wooden block upto 6 cm. The...

If a bullet of mass 5 gm moving with velocity 100 m /sec, penetrates the wooden block upto 6 cm. Then the average force imposed by the bullet on the block is

A

8300 N

B

417 N

C

830 N

D

Zero

Answer

417 N

Explanation

Solution

u=1006mum/s,6muv=0,6mus=0.066mumu = 100\mspace{6mu} m/s,\mspace{6mu} v = 0,\mspace{6mu} s = 0.06\mspace{6mu} m

Retardation =a=u22s=(100)22×0.06=1×10612= a = \frac{u^{2}}{2s} = \frac{(100)^{2}}{2 \times 0.06} = \frac{1 \times 10^{6}}{12}

\therefore Force =ma=5×103×1×10612=500012=4176muN= ma = \frac{5 \times 10^{- 3} \times 1 \times 10^{6}}{12} = \frac{5000}{12} = 417\mspace{6mu} N