There is strong evidence thatEuropa, a satellite of Jupiter, has a liquid ocean beneath its icy surface.Many scientists think we should land a vehicle there to searchfor life. Before launching it, we would want to test such a landerunder the gravity conditions at the surface of Europa. One way todo this is to put the lander at the end of a rotating arm in an orbitingearth satellite. If the arm is 4.25 m long and pivots about one end, atwhat angular speed (in rpm) should it spin so that the acceleration ofthe lander is the same as the acceleration due to gravity at the surfaceof Europa? The mass of Europa is 4.80 * 10^22 kg and its diameter is3120 km.

There is strong evidence thatEuropa, a satellite of Jupiter, has a liquid ocean beneath its icy surface.Many scientists think we should land a vehicle there to searchfor life. Before launching it, we would want to test such a landerunder the gravity conditions at the surface of Europa. One way todo this is to put the lander at the end of a rotating arm in an orbitingearth satellite. If the arm is 4.25 m long and pivots about one end, atwhat angular speed (in rpm) should it spin so that the acceleration ofthe lander is the same as the acceleration due to gravity at the surfaceof Europa? The mass of Europa is 4.80 * 10^22 kg and its diameter is3120 km.