Question:
A satellite of mass $ m_{s} $ is moving in an orbit of radius $R$, then its angular momentum:
A satellite of mass $ m_{s} $ is moving in an orbit of radius $R$, then its angular momentum:
Updated On: Jul 28, 2022
- $\sqrt{G M_{e} m_{s} R}$
- $\sqrt{G M_{e} m_{s}^{2} R}$
- $\sqrt{\frac{G M_{e} m_{s}^{2}}{R}}$
- $\sqrt{\frac{G M_{e} m_{s}}{R}}$
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The Correct Option is B
Solution and Explanation
Angular momentum of a satellite
$=\sqrt{G M_{e} M_{s}^{2} R}$
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Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].