An astronaut is tethered by a strong cable to a spacecraft. The astronaut and he

Question

An astronaut is tethered by a strong cable to a spacecraft. The astronaut and her spacesuit have a total mass of 100kg , while the mass of the cable is negligible. The mass of the spacecraft is 9.50Ý104kg . The spacecraft is far from any large astronomical bodies, so we can ignore the gravitational forces on it and the astronaut. We also assume that both the spacecraft and the astronaut are initially at rest in an inertial reference frame. The astronaut then pulls on the cable with a force of 85.0N .

a-What force does the cable exert on the astronaut?

b-and What is the astronaut's acceleration?

c-What force does the cable exert on the spacecraft?

d-What is the acceleration of the spacecraft?

Explanation / Answer

The cable pulls on the astronaut with the same force as the astronaut pulls on the cable. (N3.) Likewise, the cable pulls on the spacecraft with the same force. Astonaut acceleration is given by F = ma, where F and m are known. Likewise the acceleration of the spaceship; with a mass of 92.5 tons, it won't accelerate very much.

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