In the relation $F = G \frac{Mm}{d^2}$,the quantity $G$:

State whether the following statement is True or False:
The acceleration due to gravity $g$ is given by the formula $g = GM/R^2$,where symbols have their usual meanings.

$A$ coin and a piece of paper are dropped simultaneously from the same height. Which of the two will touch the ground first? What will happen if they are dropped in a vacuum? Give reasons for your answer.

$A$ body weighs $63 \, N$ on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth (in $, N$)? (Given: Mass of the earth $= 6 \times 10^{24} \, kg$ and radius of the earth $= 6.4 \times 10^{6} \, m$)

It is said that the mass of an object remains constant at all places,while its weight may change. Why?

Calculate the force of gravitation between two objects of masses $50 \, kg$ and $120 \, kg$ respectively,kept at a distance of $10 \, m$ from each other. $(G = 6.673 \times 10^{-11} \, N \, m^2 \, kg^{-2})$