Question

A sphere of mass 40 kg is attracted by a second sphere of mass 40 kg with a force equal to 4 x 10-5N. Calculate the distance between the two spheres.​

Answer 1

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We know that gravitational force between two bodies is given by -

F = G m1m2/r²

where m1,m2 are masses of the bodies

G is Universal gravitation constant.

r is the distance between two objects from their centers.

So here

F = 2.5 × 10^-6

r = 30mm or 30 × 10^-3 m

m1 = 40kg

m2 = 80kg

we have to find the value of G

so plug the values in the formula

we get

2.5×10^-6 = G × 80×40/3×10-²

so we get G = 0.0023.. × 10^-8

Answer 2

Answer:

We know that gravitational force between two bodies is given by -

F = G m1m2/r²

where m1,m2 are masses of the bodies

G is Universal gravitation constant.

r is the distance between two objects from their centers.

So here

F = 2.5 × 10^-6

r = 30mm or 30 × 10^-3 m

m1 = 40kg

m2 = 80kg

we have to find the value of G

so plug the values in the formula

we get

2.5×10^-6 = G × 80×40/3×10-²

so we get G = 0.0023.. × 10^-8