Two asteroids are located a certain distance away from each other. They have the same mass . The gravitational force of attraction is f . If the mass of one of the asteroids is doubled, how will the gravitational force be affected

F' = 2F

Explanation:

The gravitational force of attraction between asteroids is given by Newton's Law of Gravitation:

where,

F = Force

G = Universal Gravitational Constant

m₁ = m₂ = m = mass of each asteroid

r = distance between asteroids

Therefore,

  --------------------- eq(1)

Now, if we double the mass of one asteroid:

using equation (1):

F' = 2F

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the answer is a. at the equator