# What Does Momentum Mean

We have to apply breaks to stop the moving car. It is because the car has gained something referred to as Momentum. Let us study what is Momentum? What happens to the body after getting some motion?

These are certain points which explains the basics of momentum:

It is the product of object's mass and its velocity (moving object).

It is a vector quantity and has got identical direction as that of Velocity.

The higher the mass or weight the more is the momentum.

It is an indication of how tough or difficult it could be to stop a moving thing.

## Change in Momentum

We know that,

P = m v

If we think about the velocity to be the initial and final velocity represented by u and v then momentum change or

The change in momentum could be expressed as:

P = m (v – u)

P = mv – mu

$\Delta P$ = m $\Delta$ v

Therefore, the change in momentum is the same to mass times the change in velocity. Here mu is the Initial Momentum and mv is the Final Momentum. The change in momentum is also known as Impulse.

The momentum described and used in relativistic mechanics is referred to as Relativistic Momentum. In relativistic mechanics the momentum is described as follows:

P = y mo v . . . . . . . . . . . . . . . . . . . (1)

Here y is the Lorentz factor.

It is equivalent to,

y = $\frac1\sqrt{1-\frac{v^{2}c^{2}}}$

Here,

v is the object's speed

c is the light's speed

mo is the invariant mass

Also the inverse relation could be expressed as:

v = $\fracc^{2P}\sqrt{(pc)^{2 + (m_0c^2)^2}}$

Where P = $\sqrt(P^{2x + P^2y + P^2z)}$

## Units of Momentum

The units for momentum could be mass units times velocity units. The standard metric unit of momentum is actually the kg•m/s. While the kg•m/s is the common metric unit of momentum, you can find a variety of other units which are acceptable units of momentum.

Examples contain kg•km/hr, kg•mi/hr and g•cm/s. In each of these examples, a mass unit is multiplied by a velocity unit to give a momentum unit. This is constant with the equation with regard to momentum.

Momentum can be described as mass in motion. All objects possess mass; so if an item is moving, then it provides momentum, it has its mass in motion. The sum of momentum that an item has is based mostly on two variables: how much things is moving and how quickly the stuff is moving.

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