Between the orbits of mars and jupiter, several thousand small objects called asteroids move in nearly circular orbits around the sun. consider an asteroid that is spherically shaped with radius r and density 2000 kg/m^3.

1. you find yourself on the surface of this asteroid and throw a baseball at a speed of 24 m/s. if the baseball is to travel around the asteroid in a circular orbit, what is the largest radius asteroid on which you are capable of accomplishing this feat?