Two satellites of equal mass are launched in circular orbits at heights ' R ' and ' 2 R ' above the surface of the earth. The ratio of their kinetic energies is ( R = radius of the

Question

Two satellites of equal mass are launched in circular orbits at heights ' R ' and ' 2 R ' above the surface of the earth. The ratio of their kinetic energies is ( R = radius of the earth)

TestHub · Accepted Answer

Kinetic energy of a satellite is given by K ⋅ E = 2 r GMm ​ The two satellites are of the same mass ​ ∴ K ⋅ E ∝ r 1 ​ ( K ⋅ E ) 2 ​ ( K ⋅ E ) 1 ​ ​ = r 1 ​ r 2 ​ ​ = 2 R 3 R ​ = 2 3 ​ ​

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