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23 September, 16:54

Three asteroids have exactly the same amount of mass. The distance from asteroid A to asteroid B is 300 km, the distance from asteroid B to C is 400 km, and the distance from C to A is 100 km. Between which two asteroids would the gravitational force be the largest?

A). Between asteroid A and B.

B). Between asteroid B and C.

C). Between asteroid C and A.

D). The gravitational force between each pair of asteroids would be the same.

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  1. 23 September, 17:18
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    Gravitational force is given by the following formula:

    F = GMm/r^2

    Where;

    F = Gravitational force, G = Gravitational constant, M & m = masses of two bodies which are constant in this case, and r = distance between the masses.

    It can be seen that F α 1/r^2.

    Therefore, the far the two masses are from each other, the smaller the gravitational force and vice versa.

    It is indicated that:

    AB = 300 km

    BC = 400 km

    CA = 100 km

    Therefore,

    gravitational force will largest between C and A due to smaller distance between them.
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