$A$ stone is released from the top of a tower of height $19.6\, m$. Calculate its final velocity just before touching the ground. (in $, ms^{-1}$)

Amit buys a few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not,why? [Hint: The value of $g$ is greater at the poles than at the equator.]

What happens to the force between two objects,if
$(i)$ the mass of one object is doubled?
$(ii)$ the distance between the objects is doubled and tripled?
$(iii)$ the masses of both objects are doubled?

The volume of a $500\, g$ sealed packet is $350\, cm^3$. Will the packet float or sink in water if the density of water is $1\, g\, cm^{-3}$? What will be the mass of the water displaced by this packet?

$A$ ball is thrown vertically upwards with a velocity of $49\, m/s$. Calculate
$(i)$ the maximum height to which it rises,
$(ii)$ the total time it takes to return to the surface of the earth.

Gravitational force acts on all objects in proportion to their masses. Why then,a heavy object does not fall faster than a light object?