Question 70 of 88
Q.For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is :
(a) 2
(b) sqrt(2)
(c) 1/2
(d) 1/sqrt(2)
Puducherry TnboardTamil Nadu HSC First Year (DGE) Board 2019MCQ· 1mImportance★★★★★
80% · 70/88 Questions
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Start your 14-day free trial to unlock the full solution →For any satellite in a circular orbit, KE/|PE| = 1/2.
For a satellite of mass m orbiting a planet of mass M at radius r:
Gravitational potential energy: PE = -GMm/r
Orbital speed is found from the centripetal force condition: GMm/r^2 = mv^2/r, so v^2 = GM/r
Kinetic energy: KE = (1/2)mv^2 = (1/2)m(GM/r) = GMm/(2r)
Ratio of kinetic energy to potential energy (taking magnitudes, since PE is negative):
KE/|PE| = [GMm/(2r)] / [GMm/r] = 1/2 …
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