If the nonzero momentum of a particle with mass is doubled,what happens to its total energy?
A)It also doubles.
B)It increases,more than doubling.
C)It stays the same since total energy is a constant for a given particle.
D)It increases,but less than doubling.

Question

Quizplus · Accepted Answer

The total energy of a particle is given by the sum of its kinetic energy and potential energy. Since the only given parameter has been the momentum, it suggests the increase in kinetic energy. Kinetic energy is given as (p^2)/(2m), so doubling p would result in four times the kinetic energy. However, potential energy remains constant. Thus, the total energy of the particle would increase but by less than doubling.

If the Nonzero Momentum of a Particle with Mass Is