Two objects are attracted to each other with 36 N

sg101cp6vv 2022-05-10 Answered
Two objects are attracted to each other with 36 N of gravitational force. What would the force between them be if the distance between them were doubled?
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Answers (1)

Cara Cannon
Answered 2022-05-11 Author has 14 answers
Step 1
The gravitational force between two objects = 36 N
Let the mass of two objects be = m and M respectively
Let the distance between two objects = d
Step 2
Using Newton's law of gravitation :
Gravitational force = G × m × M / d 2
36 = G × m × M / d 2
The gravitational force follows inverse square law that is it varies inversely with the square of distance between two objects.
Thus, if we double the distance between the two objects, the gravitational force would decrease by a factor of 4.
Hence, new gravitational force between the two objects after doubling the distance between them = 36/4
= 9 Newton
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