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QUESTION 1: The International Space Station has a mass of 4.19 ✕ 105 kg and orbits...

QUESTION 1:

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 the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of a 92.3 kgastronaut living inside the station.

HINT

(a)

the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.)

N

(b)

the space station's gravitational potential energy (in J)

QUESTION 2:

A comet has a period of 78.3 years and moves in an elliptical orbit in which its perihelion (closest approach to the Sun) is 0.600 AU. Find the semimajor axis of the comet and an estimate of the comet's maximum distance from the Sun, both in astronomical units.

HINT

(a)

the semimajor axis of the comet (in AU)

AU

(b)

an estimate of the comet's maximum distance (in AU) from the Sun

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