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## Homework Statement

Asteroids have average densities of about 2,660 kg/m3 and radii from 470 km down to less than a kilometer. Assuming that the asteroid has a spherically symmetric mass distribution, estimate the radius of the largest asteroid from which you could escape simply by jumping off. (Hint: You can estimate you jump speed by relating it to the maximum height that you can jump on earth, for this problem assume that height in 1 meter).

## Homework Equations

v = [tex]\sqrt{}(8*pi*G*rho*R^2)/3[/tex]

v = 2gh

## The Attempt at a Solution

I derived the above equations to solve for R. I understand "g" is gravity relative to the Earth and not the asteroid. I am struggling to relate the gravity to the asteroid and solve for the largest radius.