A satellite of 1 0 3 kg mass is revolving in circular orbit of radius 2 R . If 6 1 0 4 R J energy is supplied to the satellite, it would revolve in a new circular orbit of radius (use g = 10 m / s 2

Question

A satellite of 1 0 3 kg mass is revolving in circular orbit of radius 2 R . If 6 1 0 4 R ​ J energy is supplied to the satellite, it would revolve in a new circular orbit of radius (use g = 10 m / s 2 , R = radius of earth)

TestHub · Accepted Answer

​ Total energy = 2 ( 2 R ) − GMm ​ if energy = 6 1 0 4 R ​ is added then 4 R − GMm ​ + 6 1 0 4 R ​ = 2 r − GMm ​ where r is new radius of revolving and g = R 2 GM ​ − 4 mgR ​ + 6 1 0 4 R ​ = − 2 r mgR 2 ​ ( m = 1 0 3 kg ) − 4 1 0 3 × 10 × R ​ + 6 1 0 4 R ​ = − 2 r 1 0 3 × 10 × R 2 ​ − 4 1 ​ + 6 1 ​ = − 2 r R ​ r = 6 R ​

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