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

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

A body of mass $10\,kg$ at rest is acted upon simultaneously by two forces $4 \,N$ and $3\,N$ at right angles to each other. The kinetic energy of the body at the end of $10 \,sec$ is .............. $\mathrm{J}$

If the kinetic energy of a body becomes four times of its initial value, then new momentum will

A bomb of mass $3.0\, Kg$ explodes in air into two pieces of masses $2.0 \,kg$ and $1.0\, kg$. The smaller mass goes at a speed of $80 m/s$.The total energy imparted to the two fragments is ............. $kJ$

The force $\vec F\, = F\hat i$ on a particle of mass $2\, kg$, moving along the $x-$ axis is given in the figure as a function of its position $x$. The particle is moving with a velocity of $5\, m/s$ along the $x-$ axis at $x\, = 0$. What is the kinetic energy of the particle at $x\,= 8\, m$ ? .................. $\mathrm{J}$