The change in potential energy, when a body of mass $m$ is raised to a height $nR$ from the earth's surface is ($R =$ Radius of earth)
The change in potential energy, when a body of mass $m$ is raised to a height $nR$ from the earth's surface is ($R =$ Radius of earth)
$mgR\frac{n}{{n - 1}}$
$nmgR$
$mgR\frac{{{n^2}}}{{{n^2} + 1}}$
$mgR\frac{n}{{n + 1}}$
The change in potential energy, when a body of mass $m$ is raised to a height $nR$ from the earth's surface is ($R =$ Radius of earth)
$\Delta U = \frac{{mgh}}{{1 + \frac{h}{R}}} = \frac{{mg\,nR}}{{1 + \frac{{nR}}{R}}} = \frac{{nm\,gR}}{{n + 1}}$
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