Question:
An artificial satellite moving in a circular orbit at a distance $h$ from the centre of the earth has a total energy $E_0$. Its potential energy is
An artificial satellite moving in a circular orbit at a distance $h$ from the centre of the earth has a total energy $E_0$. Its potential energy is
Updated On: Jun 14, 2022
- $ -E_{o} $
- $ E_{o}$
- $ -2E_{o} $
- $ 2E_{o} $
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Potential energy $U=\frac{-G M m}{r}$
and Total energy $E_{0}=\frac{-G M m}{2 r}$
Potential energy $=2 \times$ (Total energy)
$=2 E_{0}$
and Total energy $E_{0}=\frac{-G M m}{2 r}$
Potential energy $=2 \times$ (Total energy)
$=2 E_{0}$
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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].