Work Energy And Power Question 173

Question: 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 [MP PET 2002]

Options:

A) 12mv2×m(m+M)

B) 12mv2×M(m+M)

C) 12mv2×(M+m)M

D) 12Mv2×m(m+M)

Show Answer

Answer:

Correct Answer: A

Solution:

By conservation of momentum, mv+M×0=(m+M)V

Velocity of composite block V=(mm+M)v

K.E. of composite block =12(M+m)V2

=12(M+m)(mM+m)2v2=12mv2(mm+M)



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