If the kinetic energy of a sub-atomic particle was doubled,then by what factor would its speed increase?

Question

Quizplus · Accepted Answer

The kinetic energy (KE) of a sub-atomic particle is given by the equation KE = (1/2)mv^2, where m is the mass of the particle and v is its velocity. If the kinetic energy is doubled (i.e. KE' = 2KE), then we have 2KE = (1/2)m(v')^2, where v' is the new velocity of the particle. Solving for v', we get:

v' = sqrt(2KE/m) = sqrt(2(KE)/(2m)) = sqrt(KE/m)

Therefore, the speed of the particle would increase by a factor of the square root of two.

If the Kinetic Energy of a Sub-Atomic Particle Was Doubled,then