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Q.

A bullet fired into a fixed target loses half of its velocity after penetrating through a distance 1 cm.  How much further distance it will penetrate before coming to rest. (Assuming that it faces constant retardation)

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a

1/5 cm

b

1.0cm

c

1/3 cm

d

1/2cm

answer is C.

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Detailed Solution

v 2 -u 2   =2 a s  for 1cm  distance(u/2)  2 -u 2 =2 a s -3u 2 /4=2 a a= -3u 2 /80-u 2=2(-3u 2/8) s 1s 1 =4/3 further distance is   4/3-1 =13
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