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27 December, 13:18

The gravitational force between two objects will be greatest in which of the following situations?

A

Both objects have small masses are close together.

B

One object has a large mass, and the objects are close together.

C

Both objects have large masses and are close together.

D

Both object have large masses, and they are far apart.

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Answers (1)
  1. 27 December, 13:26
    0
    Gravitational law states that, the force of attraction or repulsion between two masses is directly proportional to the product of the two masses and inversely proportional to the square of their distance apart.

    So,

    Let the masses be M1 and M2,

    F ∝ M1 * M2

    Let the distance apart be R

    F ∝ 1 / R²

    Combining the two equation

    F ∝ M1•M2 / R²

    G is the constant of proportional and it is called gravitational constant

    F = G•M1•M2 / R²

    So, to increase the gravitational force, the masses to the object must be increased and the distance apart must be reduced.

    So, option c is correct

    C. Both objects have large masses and are close together.
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