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Q.

A bullet fired into a fixed target loses half of its velocity in penetrating 15 cm. How much further it will penetrate before coming to rest?

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a

5 cm

b

15 cm

c

7.5 cm

d

10 cm

answer is A.

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Detailed Solution

Let the initial velocity of the bullet = u

After penetrating 15 cm its velocity becomes u/2

From v2 = u2 −2as

(u/2)2= u2 − 2a(15)

u2 = 40a

Final velocity comes to 0 after

0 - u2/4 = -2(u2/40)s

s = 5cm 
 

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