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PhysicsQ&A LibraryThe International Space Station has a mass of 4.19 x 105 kgand orbits at a radius of 6.79 x 106 m from the center ofEarth. Find (a) the gravitational force exerted by Earth on thespace station, (b) the space station’s gravitational potentialenergy, and (c) the weight of an 80.0-kg astronaut living insidethe station.Question

Asked Dec 18, 2019

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The International Space Station has a mass of 4.19 x 10^{5} kg

and orbits at a radius of 6.79 x 10^{6} 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.

Step 1

Let the mass of the international space station be denoted by *m* and the mass of the Earth be denoted as *M*.

The expression for the gravitational force *F *exerted by the Earth on the space station is,

Step 2

Here *r* the distance of the space station from the center of the Earth, *G *is the gravitational constant.

Substitute 4.19(10^{5}) kg for *m*, 5.97(10^{24}) kg for *M*, 6.79(10^{6}) m for *r* , 6.67(10^{-11}) kg^{-1}⸳m^{3}⸳s^{-2} for *G * and solve for *F* as,

Step 3

The gravitational potential energy *U *of the...

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