Two stones in air and water

Classical Mechanics Level 2

When two stones were held apart in air, the gravitational force between them was observed to be 5 N 5 \text{ N} .

If the stones are immersed in water, and the distance between them is kept constant, then what is the gravitational force between the stones now?

Less than 5 N 5 \text{ N} Equal to 5 N 5 \text{ N} Greater than 5 N 5 \text{ N}

Pranshu Gaba by Pranshu Gaba , 22, India

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1 solution

Pranshu Gaba
Jun 6, 2016

The gravitational force between two objects is given by F = G m 1 m 2 r 2 F = \dfrac{Gm_1 m_2}{r^2} . Here, m 1 m_1 , m 2 m_2 are the masses of the objects; r r is the distance between them; and G G is the universal gravitational constant. None of these depend on the medium the objects are placed in.

Therefore, when the stones are placed in water, the gravitational force between them is still 5 N 5 \text{ N} . □ _\square

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