Two bodies of mass \(m\) and \(9m\) are placed at a distance \(R.\) The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be:
(\(G=\) gravitational constant)
1.
\(-\dfrac{20~Gm}{R}\)
2.
\(-\dfrac{8~Gm}{R}\)
3.
\(-\dfrac{12~Gm}{R}\)
4.
\(-\dfrac{16~Gm}{R}\)
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Subtopic: Â Gravitational Potential |
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At what height from the surface of the earth, are the gravitation potential and the value of \(g\) are: \(-5.4 \times 10^7~\text{J/kg}^{-2}\) and \(6.0~\text{ms}^{-2}\) respectively?
(Take, the radius of the earth as \(6400~\text{km}\))
An infinite number of bodies, each of mass \(2~\text{kg}\) are situated on the \(x\text-\)axis at distances \(1 ~\text m, ~2~\text m, ~4~\text m, ~8~\text m,......\)respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:
1.
\(-\dfrac{8}{3}{G}\)
2.
\(-\dfrac{4}{3} {G}\)
3.
\(-4 {G}\)
4.
\(-{G}\)
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Subtopic: Â Gravitational Potential |
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