A satellite of the Earth has a mass of 100 kg and is at an altitude of 2.00 &#x00D7;<!-- × --

Logan Lamb

Logan Lamb

Answered question

2022-04-07

A satellite of the Earth has a mass of 100 kg and is at an altitude of 2.00 × 10 6   m
(a) What is the gravitational potential energy of the satellite-Earth system?
(b) What is the magnitude of the gravitational force exerted by the Earth on the satellite?
(c) What force does the satellite exert on the Earth?

Answer & Explanation

verdesett014ci

verdesett014ci

Beginner2022-04-08Added 18 answers

Answer for part (a)
The total height of the satellite can be obtained as
r = R E + d = ( 6.37 × 10 6 m ) + ( 2.00 × 10 6 m ) = 8.37 × 10 6   m
Now, the potential energy of the satellite-Earth system is
U = G M E m r = ( 6.67 × 10 11 N m 2 / k g 2 ) ( 5.98 × 10 24 k g ) ( 100   k g ) 8.37 × 10 6 m = 4.765 × 10 9 J
Answer for part (b)
The magnitude of gravitational force exerted by Earth on the satellite is
F E s = G M E m r = ( 6.67 × 10 11 N m 2 / k g 2 ) ( 5.98 × 10 24 k g ) ( 100 k g ) ( 8.37 × 10 6 m ) 2 = 569 N
Answer for part (c)
The magnitude of gravitational force exerted by Earth on the satellite is equal to the magnitude of gravitational force applied by the satellite on the Earth but the direction of force is opposite. Therefore the magnitude of force applied by the satellite on the Earth is also 569N.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Force, Motion and Energy

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?