A satellite is rotating around a planet in a circular orbit. The radius of the orbit to the center of the planet is R = 2.4*107 m. The mass of the planet is M = 9.6•1024 kg.
a) Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass of the satellite m.
b) Express the magnitude of the centripetal acceleration of the satellite ac in terms of the speed of the satellite v, and R.
c) Express the speed v in terms of G, M and R.
d) Calculate the numerical value of v, in m/s.