Question

a body at rest on frictionless surface is struck by a second body is it possible that after collision both bodies are at rest ?explain ?​

Answer 1

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Using momentum conservation and equation for coefficient of restitution in case of elastic collision, we get, where u is the velocity of and is at rest. Kinetic energy of Therefore, fraction of energy retained Kinetic energy of Therefore, fraction of energy transferred . Also when both the masses are equal, the velocity gets interchanged. Therefore, 100% energy is transferred. No energy is lost in elastic collisions.

Answer 2

As we know that while colliding voilecty of first body is transferred to second body .

CASE I => if the body is moving with infitesimal magnitude of voilecty then the transfer of kinetic energy will be less and hence both the body can stay still.

CASE II => if the body is moving with a large magnitude of voilecty then there will be a large amount of kinetic energy and as already mentioned that the surface is frictionless

so no opposing force is that first body kinetic energy is less as compared to the second body .

it also depends on mass of the both body to move or not if the second body will have higher mass in comparison to first then there will be less movement in second body.