The graph between $E$ and $v$ is

A body of mass $2\, kg$ is thrown up vertically with K.E. of $490$  joules. If the acceleration due to gravity is $9.8$$m/{s^2}$, then the height at which the K.E. of the body becomes half its original value is given by ............ $\mathrm{m}$

A bomb of mass $30\,kg$at rest explodes into two pieces of masses $18\,kg$ and $12\,kg$. The velocity of $18\,kg$ mass is $6\,m{s^{ - 1}}$. The kinetic energy of the other mass is ....... $J$

A body initially at rest, breaks up into two pieces of masses $2 M$ and $3 M$ respectively, together having a total kinetic energy $E$. The piece of mass $2 M$, after breaking up, has a kinetic energy

A particle of mass $'m'$ and charge $'q'$ is accelerated through a potential difference of $'V'$ volt. Its energy is

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 .............. $\mathrm{J}$