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The gravitational force between two bodies varies inversely as the square of the distance between them. If the force between two bodies is 18 N when the distance between them is 10 km, find the fource between the bodies when the distance between them is 7.5 km.

Answer :

The statement states that the force between both the bodies at a distance of 7.5 km equals F = 32 N.

What is gravitational force?

This force that earth applies to a body is referred to as gravitational force. Its down motion of water in the river, the downwards motion if water in a stream, or an upwards motion of a ball being thrown are examples of motion brought on by gravitational influence.

Briefing:

F = k/d²  where k is the inverse variation's constant.

18 N = k / (10 km)²

18 N = k / 100 km²

k = (18 N) (100 km²)

k = 1800 (N)(km²)

F = ?

d = 7.5 km

k = 1800 (N) (km²)

F = 1800 (N)(km²) / (7.5 km)²

F = 1800 (N) (km²) / (55.25 km²)

F = 32 N

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