Question:
Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth, If R,. is the maximum range of a projectile on the earth's surface, what is the maximum range on the surface of the moon for the same velocity of projection
Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth, If R,. is the maximum range of a projectile on the earth's surface, what is the maximum range on the surface of the moon for the same velocity of projection
Updated On: Jul 6, 2022
- $0.2R_e$
- $R_e$
- $0.5R_e$
- $5R_e$
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The Correct Option is D
Solution and Explanation
$R_{max} = \frac{u^2}{g}$
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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].