5. Consider a spherical asteroid with a radius of 12 km and a mass of 3.45 x 10 to the fifteenth power kg. (a) What is the acceleration of gravity on the surface of this asteroid? (b) Suppose the asteroid spins about an axis through its center, like the Earth, with an angular speed w. What is the greatest value w can have before loose rocks on the asteroid's equator begin to fly off the surface?
The solution calculates the acceleration due to gravity on the surface of an asteroid and the angular velocity for which weightlessness is felt on the surface.