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The ratio of kinetic energy of a body orbiting near the earth's surface and the kinetic energy of the same body escaping then what is earth's gravitational field |
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Answer» Answer: For any orbit we must have the centripetal force equal to the gravitational force. So this gives: 2=2 where in this case is EARTH’s mass, the satellite mass, the satellite SPEED, and the satellite distance from the Earth’s CENTRE. Hence the kinetic energy of the satellite is: =122=22=22=2 Now the kinetic energy needed to ESCAPE gravity is that needed to cancel the satellite’s gravitational POTENTIAL energy with respect to Earth which is; =− Hence we can see that the satellite requires a kinetic energy of 2, ie: twice its existing orbital kinetic energy Explanation: |
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