### Momentum Introduction

MOMENTUM is defined as the MASS of an object multiplied by its VELOCITY.

The symbol for MOMENTUM is **p**.

formula: **p = mv**

So the units are kg.m.s^{-1}

Momentum is a vector quantity, which means it needs a magnitude AND a direction in the answer.
Momentum is also referred to as "quantity of motion".

Here are a few examples to get going!

__Question 1__

A trolley has a mass of 4kg, and a velocity of 2m.s^{-1} rightwards.

- 1.1 Write done the formula to calculate its momentum.

- p = mv
- 1.2 Calculate the momentum.
- p = mv

p= (4)(2)

p = 8kg.m.s^{-1} rightwards

__Question 2__

A trolley has a mass of 8kg, and a momentum of 24kg.m.s^{-1} rightwards.

- 2.1 What is the symbol for momentum?
- p
- 2.2 Define velocity.
- rate of change of displacement
- 2.3 Calculate the velocity
- p = mv

24 = 8v

v = 3 m.s^{-1} rightwards

So it is easy to calculate the momentum of an object. But what do we learn from this?

As an example, a 2kg trolley moving at 10m.s^{-1} will have the same momentum as a 5kg trolley that is moving slower at 4m.s^{-1}.

**Both have a momentum of 20kg.m.s**^{-1}.

This is an important thing to know!
For now, just be able to apply the p = mv formula, and calculate stuff!