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A 53.2 kg satellite circles planet Cruton every 5.21 h. The magnitude of the gravitational force...

A 53.2 kg satellite circles planet Cruton every 5.21 h. The magnitude of the gravitational force exerted on the satellite by Cruton is 65.1 N. (a) What is the radius of the orbit? (b) What is the kinetic energy of the satellite? (c) What is the mass of planet Cruton?

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Answer #1

a) The angular velocity of the satellite is

The gravitational acceleration is

The centripetal acceleration is equal to gravitational acceleration for the satellite to be in orbit

Hence the radius of the orbit is

b) The kinetic energy of the satellite is

c)

The gravitational acceleration is

where M is the mass of the planet and G is gravitational constant.

The mass of the planet Cruton is

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