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A communications satellite with a mass of 480 kg is in a

Chapter 12, Problem 4P

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QUESTION:

Problem 4P

A communications satellite with a mass of 480 kg is in a circular orbit about the Earth. The radius of the orbit is 35,000 km as measured from the center of the Earth. Calculate (a) the weight of the satellite on the surface of the Earth and (b) the gravitational force exerted on the satellite by the Earth when it is in orbit.

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QUESTION:

Problem 4P

A communications satellite with a mass of 480 kg is in a circular orbit about the Earth. The radius of the orbit is 35,000 km as measured from the center of the Earth. Calculate (a) the weight of the satellite on the surface of the Earth and (b) the gravitational force exerted on the satellite by the Earth when it is in orbit.

ANSWER:

Step 1 of 2:-

Here we need to find the weight of the satellite and the gravitational force exerted on the satellite by the earth, while orbiting.

The mass of the satellite is: .

The radius of its orbit measured from the centre of earth is: .

We know that, weight is the net normal reaction which an object gets.

So, when the satellite will be on earth’s surface, the normal reaction it would get is,

.

So, the weight on the surface of earth is: 4704 N.

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