A particle of mass 10, g is kept on surface of a uniform sphere of mass 100, kg and radius 10, cm .

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7.Gravitation

medium

A particle of mass $10\, g$ is kept on the surface of a uniform sphere of mass $100\, kg$ and radius $10\, cm$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times 10^{-11}\, Nm^2 / kg^2$)

$3.33 \times {10^{ - 10}}\,J$

$13.34 \times {10^{ - 10}}\,J$

$6.67 \times {10^{ - 10}}\,J$

$6.67 \times {10^{ - 9}}\,J$

(AIIMS-2008)

Solution

$\begin{array}{l}
W = \frac{{GMm}}{R}\\
W = \frac{{6.67 \times {{10}^{ – 11}} \times 100}}{{0.1}} \times \frac{{10}}{{1000}}\\
\,\,\,\,\,\, = 6.67 \times {10^{ – 10}}\,J
\end{array}$

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(AIIMS-2008)

A particle of mass $10\, g$ is kept on the surface of a uniform sphere of mass $100\, kg$ and radius $10\, cm$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times 10^{-11}\, Nm^2 / kg^2$)

Solution

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