Linear Momentum

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Linear Momentum

Linear Momentum
\[p = m v\]

Variables

p = linear momentum (kg·m/s)
m = mass (kg)
v = velocity (m/s)

Description

What is this formula?

The linear momentum equation calculates the quantity of motion of an object based on its mass and velocity. Momentum is a vector quantity and plays a central role in dynamics and collision analysis.


When to use it

Use this formula when studying collisions, moving vehicles, projectile motion, impact forces, or conservation of momentum problems.


Example

A 1200 kg car moves at 18 m/s.


Data:

m = 1200 kg

v = 18 m/s


Formula:

p = m*v


Substitution:

p = 1200*18


Result:

p = 21600 kg·m/s


Applications

Collision analysis, automotive engineering, ballistics, aerospace engineering, mechanical systems, and physics education.


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