The total work done on a particle is equal to the change in its kinetic energy. This is applicable

A block of mass $m$ moving at a speed $v$ compresses a spring through a distance $x$ before its speed becomes one fourth. Find the spring constant of the spring

A particle of mass $10\, g$ moves along a circle of  radius $6.4\, cm$ with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to $8 \times 10^{-4}\,J$ by the end of the second revolution after the beginning of the motion $?$ .............. $\mathrm{m} / \mathrm{s}^{2}$

The potential energy of a particle oscillating along $x-$ axis  is given as $U = 20 + (x - 2)^2$  where $U$  is in joules and $x$ in $meters$ . Total mechanical energy of the particle is $36\,\, J$ . Maximum kinetic energy of the particle is ................ $\mathrm{J}$

A bullet of mass $25\,g$ moving with a velocity of $200\,m/s$ is stopped within $5\,cm$ of the target. The average resistance offered by the target is ............... $\mathrm{kN}$