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. II. The impulse applied to the wrench is equal and opposite to the impulse applied to the astronaut ll and ill only O I only 11 only O 1, 11, and II Iand Il only

Explanation / Answer

I. The velocities will not be same

II. Initial momentum = final momentum

0 = Momentum of Astronaut + Momentum of Wrench

Momentum of Astronaut = - Momentum of Wrench

so equal and opposite

this statement is correct.

III. Impulse = change in momentum

As momentum is equal and opposite impulse will also be equal and opposite.

This statement is also correct

so II and III are correct.

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