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An artificial satellite of mass m is giv...

An artificial satellite of mass m is given some kinetic at the surface of the Earth so that it is positioned into an orbit of radius 2R (R = radius of Earth, M = mass of Earth) ?
(a) What is the value of K.E. given to satellite at the surface of Earth.
(b) Now the satelite is again given some kinetic energy `K_(2)` and it is shifted into an orbit of radius 4R. Find the value of `K_(2)`.
(c ) If the reference level for zero potential is shifted from infinity to the orbit (radius 2R), what is the value of total energy of the earth satellite system in second orbit (radius 4R) ?

Text Solution

Verified by Experts

(a) `(3GMm)/(4R)`
(b) `(GMm)/(8R)`
(c ) `(GMm)/(8R)`
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