Momentum reflects the realities of space and kinetic energy reflects the realities of the rate that time passes. The integral in E=mc^2 connects the passing of time to mass. In fact, I would assert that it is possibly the defining property that quantifies rest mass, but saying so feels somehow taboo. read more
Though momentum and kinetic energy are related. Momentum is the base that forms the measurement of the degree of free movement of mass: kinetic energy is the product of the momentum change and its average acceleration rate, E = ∆p*∆v, that is the general expression for kinetic energy. read more
Relation between momentum and kinetic energy. Sometimes it's desirable to express the kinetic energy of a particle in terms of the momentum. That's easy enough. Since and the kinetic energy so Note that if a massive particle and a light particle have the same momentum, the light one will have a lot more kinetic energy. read more
Simple example: A football and a bullet have the same Momentum, but the bullet has much higher Kinetic Energy. The push (p) is the same, but the ball doesn't have enough E(k) to cause any damage so it just pushes the target. read more