A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet, is R = 4.1 × 10^7 m. The mass of the planet is M = 8.6 × 10^24 kg.
Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v and R.
Express the speed v in terms of G, M, and R.