- #1

raptik

- 21

- 0

## Homework Statement

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

## Homework Equations

F = (G x M x m)/(R

^{2})

## 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 = (F

_{e}x R

_{e}

^{2})/(M

_{e }x G) = (F

_{p}x R

_{p}

^{2})/(M

_{p}x G)

Working out for F

_{p}I get F

_{p}= (M

_{p}/M

_{e}) x (G/G) x (R

_{e}

^{2}/R

_{p}

^{2}) x F

_{e}= 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?