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**[SOLVED] Density of Asteroids, Escape Velcoity and Jumping**

## Homework Statement

The question wants to know the maximum radius of an asteroid that you can escape from by simply jumpibng off.

The Variables given:

densities = 2500 kg/m cubed

radii = 470km downwards

height of jump = 1m

## Homework Equations

v(Escape) = sqrt(GM/r)

m = d/r cubed

V squared = U squared + 2as (for initial jump speed)

## The Attempt at a Solution

using a = 9.8 and s = 1, I calculated the initial jump speed is 4.43

rearranging the equation for EScape Velocity:

v(escape) = sqrt[(G(d/r cubed))/r]

v sqyared = (G(d/r cubed))/r

v squared = GD/r squared

r squared = Gd/v sqyared

r = sqrt [GD/v squared]

but this isn't giving me the right answer?