The magnitude of the gravitational force between two point masses separated by a distance of 66.3 cm is 11.2 μN. If the masses are moved so that they are separated by a distance of 42.9 cm, what is the magnitude of the gravitational force they exert on each other after they have been moved?
here,
the magnitude of gravitational force between masses , Fg = G * m1 * m2 /r^2
when r1 = 66.3 cm , F1 = 11.2 uN
when r2 = 42.9 cm , let the force be F2
we can write
F2 /F1 = ( G * m1 * m2 /r2^2) /(G * m1 * m2 /r1^2)
F2 /F1 = ( r1 /r2)^2
F2 /11.2 = (66.3/42.9)^2 uN
F2 = 26.8 uN
the magnitude of the gravitational force they exert on each other after they have been moved is 26.8 uN
The magnitude of the gravitational force between two point masses separated by a distance of 66.3...