Practicing Success
The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is : |
\(\frac{3}{2}\) m g R m g R 2 m g R \(\frac{1}{2}\) m g R |
\(\frac{1}{2}\) m g R |
Work done : W = Ufinal - Uinitial Ufinal = -\(\frac{G M m}{2 R}\) Uinitial = -\(\frac{G M m}{R}\) W = \(\frac{G M m}{2 R}\) = \(\frac{m g R}{2}\) (∵ GM = gR2)
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