Momentum Calculator

Enter the mass and a velocity of an object to calculate the linear momentum of that object in one dimension. Momentum is a vector quantity, meaning it has magnitude and direction. In this case, the calculator assumes the object is moving in only one direction.

Momentum Formula

Momentum is the product of mass and velocity.

Momentum(p) = mass (m) * velocity (v)

Velocity is a vector quantity, meaning it has direction. As a result, the momentum of an object is also a vector quantity because it’s the product of velocity and mass.

Momentum is measure in kilogram meters per second (kg*m/s) in SI units. The rate of change of momentum in a closed system is equal to the net force acting on that object. That means the force is equal to the derivative of momentum with respect to time.

In a closed system, the total momentum is constant. For example, lets imagine a close system of two point objects. If object one increase it’s momentum by 5 kg*m/s, then object two must have had it’s momentum decreased by the same amount in the opposite direction.

Because momentum is a measurable quantity, the reference frame of that measurement effects the outcome. For example, if someone is moving in a car, with respect to that care they have no velocity and no momentum, but your you move the reference frame to someone observing from the street, that person has a velocity and therefor a momentum.

How to calculate momentum

To calculate momentum, you need to know both the mass and velocity of an object. To calculate the mass of an object, you can either use empirical methods like a scale, or use the formula for mass. Mass is equal to the density times the volume.

The next this you need to know is the velocity. Velocity can either be calculated through dividing the displacement by time. Alternatively it can be calculate through taking the derivative of displacement with respect to time.

momentum calculator

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