In vacuum,all freely falling objects:

Distinguish between mass and weight of an object. How does the weight of an object change when moving from the equator to the poles? When can the weight of an object be zero?

$A$ man weighs $600\, N$ on the surface of the Earth. What would be his mass and weight on the surface of the Moon? $(g = 10\, m s^{-2})$

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. $(G = 6.673 \times 10^{-11} \, N \, m^2 \, kg^{-2})$

Two bodies,one held $1 \, m$ vertically above the other,are released simultaneously and fall freely under gravity. After $2 \, s$,the relative separation of the bodies will be: (in $, m$)

Show that the weight of an object on the moon is one-sixth of its weight on the earth. [Given: mass of earth $= 5.98 \times 10^{24} \ kg$,mass of moon $= 7.36 \times 10^{22} \ kg$,radius of earth $= 6.37 \times 10^{6} \ m$,radius of moon $= 1.74 \times 10^{6} \ m$]