Question

Can a body have energy without momentum$?$

Answer 1

1. Momentum is defined as the quantity of motion of a moving body, measured as a product of its mass and velocity.
2. Energy is the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other forms.
3. If the body is at rest in the gravity field, the velocity is zero so the body doesn't travel, so the speed is zero, but the body also has potential energy.
4. But momentum is not possible without energy, since a body has momentum, which ensures that it travels at a certain velocity. There is kinetic energy in any force that travels with velocity.
5. Therefore, it is possible for a body to have energy without momentum.