Suppose the gravitational force between two planets is 6,097 N.

Azzalictpdv

Azzalictpdv

Answered question

2022-05-08

Suppose the gravitational force between two planets is 6,097 N. If the first planet was 2 times more massive and the second planet was 9 times more massive, what would be the gravitational force between them?

Answer & Explanation

Gerardo Barry

Gerardo Barry

Beginner2022-05-09Added 17 answers

Step 1
Given data:
Initial magnitude of gravitational force between the planets is, F=6,097 N.
Step 2
Let us consider the mass of planets as m 1 and m 2 respectively. Such that initial gravitational force (F) between the planets is,
F = G m 1 m 2 r 2
Here,
G is universal gravitational constant.
r is the distance between both the planets.
Substituting the values as,
6097 = G m 1 m 2 r 2 ( 1 )
Step 3
Now, when first planet is 2 times more massive and second planet is 9 times more massive. Then new masses will be,
m 1 = 2 m 1 m 2 = 9 m 2
Then new gravitational force (F') is,
F = G m 1 m 2 r 2 F = G ( 2 m 1 ) ( 9 m 2 ) r 2 F = 18 × ( G m 1 m 2 r 2 )
Step 4
Substituting the above value in equation 1 as,
F = 18 × 6097 F = 10 , 9746 N
Thus, magnitude of new gravitational force between the planets is 10,9746 N.

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