Change in potential energy, when a body of mass m is raised to a height nR from earth's surface

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7.Gravitation

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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)

A

$mgR\frac{n}{{n - 1}}$

B

$nmgR$

C

$mgR\frac{{{n^2}}}{{{n^2} + 1}}$

D

$mgR\frac{n}{{n + 1}}$

Solution

(d) $\Delta U = \frac{{mgh}}{{1 + \frac{h}{R}}} = \frac{{mg\,nR}}{{1 + \frac{{nR}}{R}}} = \frac{{nm\,gR}}{{n + 1}}$

Standard 11

Physics

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