A conveyor belt is moving horizontally with a velocity of $2 \mathrm{~ms}^{-1}$. If a body of mass 10 kg is kept on it, then the distance travelled by the body before coming to rest is

(The coefficient of kinetic friction between the belt and the body is 0.2 and acceleration due to gravity is $10 \mathrm{~ms}^{-2}$ )

As shown in the figure, a force $F$ is applied on a block of mass $\sqrt{3} \mathrm{~kg}$ placed on a rough horizontal surface. The maximum value of $F$ for the block not to move is (Coefficient of static friction between the block and the

surface is $\frac{1}{2 \sqrt{3}}$ and acceleration due to gravity $\left.=10 \mathrm{~ms}^{-2}\right)$

A balloon carrying some sand of mass $M$ is moving down with a constant acceleration $a_0$. The mass $m$ of sand to be removed, so that the balloon moves up with double the acceleration $a_0$ is

The acceleration of a body sliding down the inclined plane, having coefficient of friction $\mu$ is