SOLUTION: 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

Question 1006226: 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 force between the bodies when the distance between them is 7.5 km.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
y = k/x^2

y is the gravitaional force.
x is the distance between them.

y = 18
x = 10

y = k/x^2 becomes 18 = k/10^2 which becomes 18 = k/100.

solve for k to get k = 1800

now that you know k, you can solve the problem.

when the distance between them is 7.5 km, the equation becomes:

y = 1800/(7.5)^2 which becomes y = 1800/56.25

solve for y to get y = 32.

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