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Questions  

A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

a
12mv2×m(m+M)
b
12mv2×M(m+M)
c
12mv2×(M+m)M
d
12Mv2×m(m+M)

detailed solution

Correct option is A

By conservation of momentum,  mv+M×0=(m+M)VVelocity of composite block V=mm+M vK.E. of composite block  =12(M+m)V2=12(M+m) mM+m2v2=12mv2mm+M

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