An astronaut is a short distance away from her space station without a tether rope. She has a large wrench. What should she do with the wrench to move toward the space station?

(a) Throw it directly away from the space station.

(b) Throw it directly toward the space station.

(c) Throw it toward the station without letting go of it.

(d) Throw it parallel to the direction of the station’s orbit.

(e) Throw it opposite to the direction of the station’s orbit.

Short Answer

Expert verified

(a) Throw it directly away from the space station.

Step by step solution

01

Understanding the net momentum

The net momentum for the astronaut-wrench system is equivalent to zero if you consider the system to be isolated. In this case, the astronaut can move towards the space station by throwing the wrench away from the station.

02

Evaluation of the direction of the motion of the wrench

When the astronaut throws the wench away from the station, he moves towards the station as the wench exerts an equal and opposite recoil momentum on him.

Thus, option (a) is the correct answer.

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