Two objects are attracted to each other by a gravitational force F. If the distance between the objects is doubled, what is the new gravitational force between the objects in terms of F? a. 1/4F b. 4F c. 1/9F d. 9F

Janiah Parks

Janiah Parks

Answered question

2022-09-03

Two objects are attracted to each other by a gravitational force F. If the distance between the objects is doubled, what is the new gravitational force between the objects in terms of F?
a. 1/4F
b. 4F
c. 1/9F
d. 9F

Answer & Explanation

Erika Gomez

Erika Gomez

Beginner2022-09-04Added 4 answers

Gravitational force is given by
F = G m 1 m 2 r 2 ..... (1)
If the distance between the objects is doubled, the new gravitational force is given by
F n e w = G m 1 m 2 ( 2 r ) 2
F n e w = G m 1 m 2 4 r 2 ...... (2)
F n e w F = G m 1 m 2 4 r 2 G m 1 m 2 r 2
F n e w F = 1 4
F n e w = 1 4 F
Correct option is :
a. 1 4 F

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