The mass of a hypothetical planet is 1/100 that of Earth and its radius is 1/4 that of Earth. If a person weight 600 N on Earth, what would he weigh on this planet
F = (G x M x m)/(R2)
The Attempt at a Solution
Well I know the mass of the person is the same so I rearrange this equation in terms of m and make it equal to the two equations based on their different conditions:
m = (Fe x Re2)/(Me x G) = (Fp x Rp2)/(Mp x G)
Working out for Fp I get Fp = (Mp/Me) x (G/G) x (Re2/Rp2) x Fe = 100 x 1 x (1/16) x 600N = 3750 N.
This is wrong. Somebody please help me understand what I'm doing wrong. What's the error in my method?