- #1

pinkybear

- 10

- 0

## Homework Statement

A spherical asteroid has a density of 2600 kg/m^3. I throw a ball at the speed on 20 m/s. If the ball is to travel in a circular orbit, what is the largest radius of the asteroid possible to accomplish this?

## Homework Equations

these are the equations I used..

escape velocity:

V(e)=sqrt(2GMm/r)

and

Density:

mass=Volume*Density

volume= 4/3(pi)r^3 (since the asteroid is spherical)

GM= 6.67*10^-11 (constant)

## The Attempt at a Solution

m=4/3 pi r^3*2600

20^2=[2(6.7*10^-11)(4/3 pi r^3*2600)]/r

or simplified:

400=(1.453*10^-6)*r^2

or

r= 16593 or 17000 (2 s.f)

My answer is wrong.. I have 4 tries left. I'm thinking that I messed up on the GM(gravitational force) part, but I don't know how or why. Is it correct to use the constant?