A space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth

Brooklynn Hubbard

Brooklynn Hubbard

Answered question

2022-04-07

A space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth's center, the gravitational force on it is 706 lb. What is the size of the force when it is at each of the following distances from Earth's center?
(a) 20,000 miles
(b) 30,000 miles
(c) 100,000 miles

Answer & Explanation

erlanpb8cj

erlanpb8cj

Beginner2022-04-08Added 14 answers

Step 1
Write the expression for the gravitational force, and determine the relationship between the forces at two different distances as follows.
F = G m 1 m 1 r 2 F 1 r 2 F 1 F 2 = r 2 2 r 1 2 F 2 = ( r 1 2 r 2 2 ) F 1 (1)
Step 2
(a)
Rewrite equation (1), and determine the gravitational force on the space probe when it is at a distance of 20000 miles as follows.
F 2 = ( r 1 2 r 2 2 ) F 1 = ( ( 10000   m i ) 2 ( 20000   m i ) 2 ) ( 706   l b ) = 176.5   l b
Iyana Macdonald

Iyana Macdonald

Beginner2022-04-09Added 1 answers

(b)
Rewrite equation (1), and determine the gravitational force on the space probe when it is at a distance of 30000 miles as follows.
F 2 = ( r 1 2 r 2 2 ) F 1 = ( ( 10000   m i ) 2 ( 30000   m i ) 2 ) ( 706   l b ) = 78.44   l b
(c)
Rewrite equation (1), and determine the gravitational force on the space probe when it is at a distance of 100000 miles as follows.
F 2 = ( r 1 2 r 2 2 ) F 1 = ( ( 10000   m i ) 2 ( 100000   m i ) 2 ) ( 706   l b ) = 7.06   l b

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?