Question #869fd

1 Answer
Jan 25, 2016

No.

Theoretically it may be fine to do so. But not experimentally as Gravitation is a weak interaction. Moreover, proposed values of mass and distance are empirical in nature.

Explanation:

As per Law of Universal Gravitation the force of attraction between two bodies is directly proportional to the product of masses of the two bodies. it is also inversely proportional to the square of the distance between the two. That is the force of gravity follows inverse square law.
Mathematically

F_G prop M_1.M_2
Also F_G prop 1/r^2
Combining the two we obtain the proportionality expression

F_G prop (M_1.M_2)/r^2
Follows that

F_G =G (M_1.M_2)/r^2

Where G is the proportionality constant.
It has the value 6.67408 xx 10^-11 m^3 kg^-1 s^-2

It would be extremely difficult to measure Gravitational constant with accuracy on the basis of suggested definition.

Moreover, we need to standardize various physical constants.
Proposed mass of 5kg and distance of 5m are empirical values and certainly not standard values.