tellite of mass m orbits a planet at a distance R from the center of the planet

Question

tellite of mass m orbits a planet at a distance R from the center of the planet whose mass is M. Neglectin planet's revolution and orbital motion around its star, which of the following represents the total energy of satellite-planet system? O Equation A O Equation B O Equation C O Equation D A. mgR GMm GMm GMm 2R What is the physical significance of the sign of the total energy? The sign has no physical significance The sign is positive because energy is always a positive quantity The sign is negative because the satellite's orbit is closed The sign is negative because the satellite-planet system is a bound system Previous Give Up & View Solution e Check Answer Next Exit Hint

Explanation / Answer

Gravitaional potential energy = GMem/R

KE = mv^2/2

gravitational force = centripetal force

GMem/r^2 = mv^2/r

mv^2 = GMem/r

KE = GMem/2r

Total energy = KE + PE = -GMem/2R

option D

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