Q.

A stationary object explodes into two fragments of masses 2 kg and 4 kg. Just after the explosion, velocity of the smaller fragment is found to be 8 m/s. Then kinetic energy of the larger fragment just after explosion is

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a

64 Joule

b

24 Joule

c

32 Joule

d

48 Joule

answer is C.

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Detailed Solution

(3)Conserving linear momentum,4  ×  v=2  ×8      ⇒   v=4 m/s.∴     Kinetic energy  of  4kg mass =  12  ×  4× 42J=32  Joule.
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A stationary object explodes into two fragments of masses 2 kg and 4 kg. Just after the explosion, velocity of the smaller fragment is found to be 8 m/s. Then kinetic energy of the larger fragment just after explosion is