The weight of an object at the centre of the earth of radius $R$ is

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

Identical packets are dropped from two aeroplanes,one above the equator and the other above the north pole,both at height $h$. Assuming all conditions are identical,will those packets take the same time to reach the surface of the Earth? Justify your answer.

An object has a mass of $30 \ kg$. What is its weight $(i)$ on the moon $(ii)$ on another planet? The value of $g$ on the moon is $1/6$ the value of $g$ on the earth. The value of $g$ on the planet is $3$ times the value of $g$ on the earth. Take $g_{earth} = 10 \ m/s^2$.

State the universal law of gravitation.

What is the shape of the path followed by a projectile?