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Question

# Universal gravitational constant is equal to force when they are separated by a unit distance and both the masses of body is are 1 kg respectively. Now since universal gravitational constant is equal to the force then, since force is vector quantity than universal gravitational constant must be a vector quantity but universal gravitational constant is a scalar quantity. How does this happen. Please explain

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Solution

## Magnitude of the Force F of gravitational attraction between two masses M and m, separated by a distance d, is given by: F = G M m / d² where G = Universal Gravitational Constant The force is directional and is a vector. G is a scalar and is a constant. It is a scalar because it does not follow the law of addition of vectors. Let G = G1 between masses M1, M. Let G = G2 between masses M2, M. Then the G3 between M1 and M2 is still same as G and not the vector addition of G1 and G2. G is same in all directions and between any type of masses. Hence, it is directionless. So it is only a scalar.

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