Momentum Calculator

Momentum is the measure of the quantity of motion of a moving body. It is calculated by multiplying the mass of an object by its velocity (p = mv). The greater the mass or velocity of an object, the greater its momentum. Momentum is conserved in isolated systems, which is a fundamental principle in physics known as the law of conservation of momentum.

The calculator supports kilogram-meters per second (kg·m/s), newton-seconds (N·s), kilonewton-seconds (kN·s), meganewton-seconds (MN·s), dyne-seconds (dyn·s), pound-force-seconds (lbf·s), and pound-foot per second (lb·ft/s). All unit conversions are performed automatically.

Yes, select "Calculate m (Mass)" from the dropdown menu and enter the momentum and velocity values. The calculator uses the formula m = p / v to determine the mass automatically.

Momentum (p = mv) is a vector quantity that depends on both mass and velocity, while kinetic energy (KE = ½mv²) is a scalar quantity that depends on the square of velocity. An object can have zero momentum at rest but can gain kinetic energy. Momentum is always conserved in collisions, whereas kinetic energy is only conserved in elastic collisions.

Momentum is crucial in automotive safety (designing airbags and crumple zones to reduce impact forces), sports science (analyzing collisions in football and rugby), rocket propulsion (conservation of momentum in thrust calculations), and ballistics (calculating bullet impact forces). Understanding momentum helps engineers design safer vehicles and structures.

The law of conservation of momentum states that the total momentum of an isolated system remains constant before and after a collision or interaction. In other words, momentum cannot be created or destroyed, only transferred between objects. This principle is used to analyze collisions, explosions, and many other physical interactions.