Question

Energy required in moving a body of mass m from a distance 2R to 4R from centre of earth of mass M is

Moderate

Solution

Change in potential energy in displacing a body from r₁ to r₂ is given by
$∆ U = G M m [\frac{1}{r_{1}} - \frac{1}{r_{2}}] = G M m (\frac{1}{2 R} - \frac{1}{4 R}) = \frac{G M m}{4 R}$

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