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Questions  

 A bullet of mas m moving horizontally with velocity v hits a block of wood of mass M, resting on a smooth horizontal plane. The fraction of energy of the bullet dissipated in the collision it self is (assume collision to be inelastic)

a
mvm+M
b
mM+m
c
Mmm+M
d
Mm+M

detailed solution

Correct option is D

Applying the law of conservation of momentum, we havemV=(m+M)V V=mvm+M  Loss of K.E. =12mv2−12(m+M)V2 =12mv2−12(m+M)mvM+m2 =12mv21−mm+M=12mv2Mm+M  Fraction of K.E. dissipated = Loss of K.E.  Initial K.E.  =Mm+M

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