An astronaut floating at rest in space throws a wrench in one direction and subs

Question

An astronaut floating at rest in space throws a wrench in one direction and subsequently recoils back with a velocity in the opposite direction. Which of the following statements is/are true? I. The velocity of the wrench is equal and opposite to the velocity of the astronaut. Il. The momentum of the wrench is equal and opposite to the momentum of the astronaut. Il. The impulse applied to the wrench is equal and opposite to the impulse applied to the astronaut. 11 and only O I only O Il only O I, II, and II O I and Il only

Explanation / Answer

First option 'II and III only' is the correct answer.

Explanation -

Conservation of momentum is applied for all type of motion or incident.

So, (II) is correct.

Further, velocity of the wrench and astronaut depents on its mass so this cannot be equal.

Impulse is F*t (force x time) which will be the same for the both wrench as well as the astronaut.

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