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Q.

A bullet of mass 40 g moving with a speed of 90 ms-1 enters a heavy wooden block and is stopped after a distance of 60 cm. The average resistive force exerted by the block on the bullet is

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a

320 N

b

220 N

c

270 N

d

180 N

answer is C.

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Detailed Solution

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Here, u = 90 ms-1,  v = 0

     m = 40 g   4001000kg = 0.04 kg

s = 60 cm = 0.6 m

Using v2-u2 = 2as

(0)2(90)2 = 2a ×0.6

a = (90)22×0.6 = -6750 ms-2

-ve sign shows the retardation.

The average resistive force exerted by block on the bullet is 

F = m ×a = (0.04 kg) (6750 ms-2) = 270 N

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