A space shuttle astronaut in a circular orbit around the Earth has an assembly consisting of two small dense spheres, each of mass in, whose centers are connected by a rigid rod of length ( and negligible mass. The astronaut also has a device that will launch a small lump of clay of mass mat speed vo, Express your answers in terms of m, v, 4, and fundamental constants.

The air in an automobile tire with a volume of 2.60 ft3 is at 70°f and 21 psig. determine the amount of air that must be added to raise the pressure to the recommended value of 30 psig. assume the atmospheric pressure to be 14.6 psia and the temperature and the volume to remain constant. the gas constant of air is ru = 53.34ft⋅lbflbm⋅r(1 psia144 lbf/ft2) = 0.3704 psia⋅ft3lbm⋅r the amount of air that must be added to raise the pressure is lbm