Question:
Two satellites are moving in the same circular orbit around the earth. They must have the same
Two satellites are moving in the same circular orbit around the earth. They must have the same
Updated On: Aug 15, 2022
- mass
- angular momentum
- kinetic energy
- speed
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The Correct Option is D
Solution and Explanation
$ v_{0}=\sqrt{\frac{GM_{e}}{r}} $
Since, orbital speed depends upon mass of earth and the separation. Hence, $ v_{0} $ is same for both satellites.
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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].