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8 February, 21:57

Two objects of equal mass are a fixed distance apart. If the mass of each object could be tripled, the gravitational force between the objects would ...

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  1. 8 February, 22:35
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    gravitational force between two objects is given as

    F = G m₁ m₂/r²

    where m₁ = mass of first object, m₂ = mass of second object, r = distance between the two objects.

    Initial case:

    m₁ = m₂ = m

    gravitational force between the objects is given as

    F = G m²/r²

    Final Case:

    m₁ = m₂ = 3 m

    new gravitational force between the objects is given as

    F' = G (3m) ²/r²

    F' = 9 G m²/r²

    F' = 9 F

    hence the gravitational force between the two objects becomes 9 times.
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