- #1

- 10

- 0

## Homework Statement

Two asteroids are deep in space, far from any external influences. They each have a mass of 1010kg and are separated by distance L (center to center). They travel in a circular orbit around the center of mass of the system (radius of either orbit: R= 0.5L), under the influence of the force of gravitational attraction between them. If it takes either one of them 1 hr to make a full circle, what is their separation L?

## Homework Equations

Possibly:

F = GMm/r^2

Fc = mv^2/r

## The Attempt at a Solution

v = 2(pie)*r/(3600) =

**pie*L/3600**

Let F = Fc

mv^2/r = Gmm/r^2

v^2 = Gm/r

r = 0.5L so:

**v^2 = Gm/0.5L**

I end up getting L = 0.1769m; however, the possible answers are:

A) 675m

B) 121m

C) 1550m

D) 60m

E) 250m

Thanks for the help