   Chapter 7, Problem 34P

Chapter
Section
Textbook Problem

The International Space Station has a mass of 4.19 × 105 kg and orbits at a radius of 6.79 × 106 m from the center of Earth. Find (a) the gravitational force exerted by Earth on the space station, (b) the space station’s gravitational potential energy, and (c) the weight of an 80.0-kg astronaut living inside the station.

(a)

To determine
The gravitational force exerted by the earth on the space station.

Explanation

Given info: The gravitational constant is 6.673×1011Nm2/kg2 , the mass of the earth 5.98×1024kg , the mass of the space station is 4.19×105kg , and the distance between center of the earth and the space station  is 6.79×106m .

Explanation:

The formula for the gravitational force exerted by the earth on the space station is,

F=Gm1m2r2

• G is gravitational constant.
• m1 is mass of the earth.
• m2 is mass of the space station.
• r is the distance between the center of the earth and the space station.

Substitute 6.673×1011Nm2/kg2 for G , 5.98×1024kg for m1 , 4

(b)

To determine
The gravitational potential energy of the space station.

(c)

To determine
The weight of the astronaut inside the space station.

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