Problem 14CQ

Must the total energy of a system be conserved whenever its momentum is conserved? Explain why or why not.

Solution

Step 1 of 2

We need to find out whether the total energy of a system is conserved when the momentum is conserved.

Consider a system contains two objects of same mass having velocities of the same magnitude but opposite direction if we increase the velocity magnitude of both two masses by the same amount the kinetic energy will increase but there will be no increase in the momentum.