If the momentum of a body is increased by $100\%$, then the percentage increase in the kinetic energy is ............ $\%$

A projectile is fired with $KE$ of $1\,kJ$. If the range is maximum, .......... $J$ is its $KE$ at the highest point.

A particle of mass $0.1 \,kg$ is subjected to a force which varies with distance as shown. If it starts its journey from rest at $x=0$, then its velocity at $x=12 \,m$ is .............. $m / s$

A $50\,kg$ man with $20\,kg$ load on his head climbs up $20$ steps of $0.25\,m$ height each. The work done in climbing is......$J$

Two identical uniform discs roll without slipping on two different surfaces $AB$ and $CD$ (see figure) starting at $A$ and $C$ with linear speeds $v _1$ and $v _2$, respectively, and always remain in contact with the surfaces. If they reach $B$ and $D$ with the same linear speed and $v_1=3 \ m / s$, then $v_2$ in $m / s$ is $\left(g=10 \ m / s ^2\right)$

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