Compare and contrast the concepts of momentum and kinetic energy, being clear to note how they differ from each other on a purely conceptual level.
Similar: Both kinetic energy and momentum are properties of objects in motion.
Differences: Momentum is a vector, which implies that it indicates direction as either a positive or negative.
Kinetic energy on the other hand, is a scalar which means it is never negative (only indicates magnitude). Because of these properties, momentum can be cancelled out in the collision of two equal but opposite travelling objects. However, kinetic energy will never cancel out in a collision, it will only increase, because the energy amounts are always positive.
Both Similar and Different: Kinetic energy is equal to (1/2mv) squared while momentum equals (mv)