At time $t=0$ is particle starts moving along the $x-$axis. If its kinetic energy increases uniformly with time $t$, the net force acting on it must be proportional to

A bomb of mass $16\ kg$ at rest explodes into two pieces of masses $4\ kg$ and $12\ kg.$ The velolcity of the $12\ kg$ mass is $4$ $ms^{-1}$. The kinetic energy of the other mass is .............. $\mathrm{J}$

An athlete in the olympic games covers a distance of $100\ m$ in $10\ s$. His kinetic energy can be estimated to be in the range

When kinetic energy of a body becomes $36$ times of its original value, the percentage increase in the momentum of the body will be :

A block of mass $0.50\ kg$ is moving with a speedof $2.00$ $ms^{-1}$ on a smooth surface. It strikes another mass of $1.00\ kg$ and then they move together as a single body. The energy loss during the collision is ............. $\mathrm{J}$

If a body of mass $200\, g$ falls from a height $200 \,m$ and its total $P.E.$ is converted into $K.E.$ at the point of contact of the body with earth surface, then what is the decrease in $P.E.$ of the body at the contact $(g = 10\,m/{s^2})$ ............ $\mathrm{J}$