# Homework Help: How heavy would you be on neuron star

1. Sep 9, 2005

### Neutrino00

I have a problem that I can't figure out, as do most people I guess, so here goes. A neutron star is 1,000 times smaller than the earth and has 450,000 times the mass of the earth. How many times heavier would you be on the surface of a neutron star?

2. Sep 9, 2005

### David

Here are the steps you need to get to the answer... Your weight is your mass times the gravitational field strength. $$W=mg$$. $$g$$ depends on the mass and radius of the object like this: $$g = \frac{GM}{r^2}$$

So for a particular person, their weight will scale as the mass of the planet/star and inversely with the radius squared. i.e. your mass will be greater by a factor of 450,000 due to the mass difference and greater by an additional factor of (1000)2 due to the smaller radius.

Last edited: Sep 9, 2005