Doubling the total energy of a particle
A) doubles its momentum.
B) more than doubles its momentum.
C) less than doubles its momentum.
D) quadruples its momentum.
E) does not affect its momentum.

Question

Quizplus · Accepted Answer

According to the equation E = p^2/(2m), doubling the energy will result in p^2 being doubled. Taking the square root of both sides, we get that momentum p will be multiplied by sqrt(2). Therefore, the momentum more than doubles when the total energy is doubled.

Doubling the Total Energy of a Particle