Object A strikes the stationary object B head-on in an elastic collision. The ma

Question

Object A strikes the stationary object B head-on in an elastic collision. The mass of A is ?xed,
you may choose the mass of B appropriately. Then:
A. for B to have the greatest recoil speed, choose mB = mA
B. for B to have the greatest recoil momentum, choose mB << mA
C. for B to have the greatest recoil kinetic energy, choose mB << mA
D. for B to have the least recoil speed, choose mB = mA
E. for B to have the greatest recoil kinetic energy, choose mB = mA

the answer is E but how come?

Explanation / Answer

The answer is E because , the greatest recoil velocity will be there when the masses of the two bodies are the same, that is the velocity of A when collides with B gets transferred fully. Hence recoil kinetic energy is also maximum

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