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

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 $g_{earth} = 10 \ m/s^2$.

If gravitation is the power by which all bodies tend towards each other,then why do all bodies tend towards the centre of the earth?

Find the weight of an object at a height $6400 \, km$ above the earth's surface. The weight of the object at the surface of the earth is $20 \, N$ and the radius of the earth is $6400 \, km$. (in $, N$)

An object weighs $10 \, N$ in air. When immersed fully in water,it weighs only $8 \, N$. The weight of the liquid displaced by the object will be (in $, N$)

Define 'acceleration due to gravity of earth'. Does the acceleration produced in a freely falling body depend on the mass of the body? Justify your answer mathematically.