Momentum Calculator

Use our momentum calculator to find the momentum, mass, or velocity of an object given any two values.




Momentum Formula

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How to Find Momentum

Momentum is integral to understanding how objects interact in various systems, from simple everyday occurrences to complex astrophysical phenomena. Momentum, denoted p, is defined as the product of an object’s mass and its velocity.

Momentum is a vector quantity, which means it has both magnitude and direction. It is measured in kilogram meters per second (kg·m/s) in the International System of Units (SI).

To calculate the momentum of an object, you simply multiply the object’s mass by its velocity. The direction of the momentum vector is the same as the direction of the velocity vector.

Momentum Formula

You can find momentum using the following formula:


p = object’s momentum
m = object’s mass
v = object’s velocity

graphic showing the momentum formula, where the momentum of an object is equal to the product of its mass and velocity.

For example, let’s calculate the momentum of a car with a mass of 1,500 kg moving north at a speed of 20 meters per second.

p=1,500\ kg \times 20\ m/s
p=30,000 kg \cdot m/s

Thus, the momentum of the car is 30,000 kg·m/s, directed north.