Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will :
- Move towards each other.
- Move away from each other.
- Will become stationary
- Keep floating at the same distance between them.
The Correct Option is A
Solution and Explanation
The two astronauts will more towards each due to the gravitational force b/w them but it will be a very slow process due to their law mass.
Therefore, the correct option is (A) : Move towards each other.
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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].