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Q.

An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth. If the satellite is stopped suddenly in its orbit and allowed to fall freely onto the earth. Find the speed (in m/s) with which it hits the surface of the earth. Given g=9.8ms-2 and R= 6400 km

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Detailed Solution

 

v=vo2

GMR+h12=122GMR12

on sloving we get h=R

form the law of conservation of energy

-GMmR+h=12mv2-GmMRv=GMR=gR

 

 

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