Find the velocity at which the kinetic energy of a particle equals its rest energy.

Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy.

The velocity of a particle at which the kinetic energy is eqyal to its rest mass energy is

A particle executes linear SHM with amplitude A and mean position is x=0. Determine position of the particle where potential energy of the particle is equal to its kinetic energy.

What should be the displacement of a particle, executing SHM, from its position of equilibrium so that the kinetic energy of the particle is half of its maximum kinetic energy?