A satellite of mass `1000 kg` is rotating around the earth in a circular orbit of radius `3R`. What extra energy should be given to this catellite if it is to be lifted into an orbit of radius `4R`?
Text Solution
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Energy required `=(TE)_(f)-(TE)_(i)` `=((-GMm)/(2(4R)))-((-GMm)/(3(3R)))` `=(-Gmm)/(8R)+(GMm)/(6R)=(GMm)/(24R)(4-3)(GMm)/(24R)` `=((9.8xx(6400xx10^(3))^(2)xx1000)/(24(6400xx110^(3))))=2.614xx10^(9)J`
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