# Law of Conservation of Linear Momentum | Definition, Formula, Units – Laws of Motion

Linear Momentum Definition:
The total amount of motion present in a body is called its momentum. Linear momentum of a body is equal to the product of its mass and velocity. It is denoted by p.

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## Law of Conservation of Linear Momentum | Definition, Formula, Units – Laws of Motion

Linear Momentum Formula:
Linear momentum, p = mv.
Where,
P = momentum
m = mass
v = velocity

Linear Momentum Unit:
Its SI unit is kg- m/s

Linear Momentum Dimensional Formula:
Dimensional formula is [MLT-1].

• It is a vector quantity and its direction is in the direction of velocity of the body.

Law of Conservation of Linear Momentum
1. If no external forces acts on a system, then its total linear momentum remains conserved.

2. Linear momentum depends on the frame of reference but law of conservation of linear momentum is independent from frame of reference.

3. Newton’s laws of motion are valid only in inertial frame of reference.

Law of Conservation of Linear Momentum Example:
An example of law of conservation of momentum is Newton’s cradle, a device where, when one ball is lifted and then let go, the ball on the other end of a row of balls will push upward. Newton’s cradle is a device that demonstrates conservation of momentum and energy using a series of swinging spheres.