if velocity given to an object from the surface of the earth is n times the escapes velocity then what will be the residual velocity at inifinity
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Let residual velocity be v then from energy conservation 12m(nve)2−GMmR=12mv2+0
⇒v2=n2v2e−2GMR=n2v2e−v2e−v2e=(n2−1)v2e⇒v=(n2−1−−−−−√)ve
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