Six artificial satellites complete one circular orbit around a space station in the same amount of time. each satellite has mass m and radius of orbit l. the satellite fire rockets that provide the force needed to maintain a circular orbit around the space station. the gravitational force is negligible.

In a game of pool, ball a is moving with a velocity v0 of magnitude v0 = 15 ft/s when it strikes balls b and c, which are at rest and aligned as shown. knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the magnitudes of the velocities va, vb, and vc.