The **momentum equation** states that momentum (p) is calculated as the product of an object’s mass (m) and its velocity (v). Mathematically, the equation of momentum is expressed as p = m × v. This equation allows for the determination of the momentum of an object based on its mass and velocity.

## Practice problems

### Problem #1

Calculate the momentum of a 2 kg ball rolling towards the east with a velocity of 3 m/s.

**Solution**

Given data:

- Momentum of a ball, p = ?
- Mass of a ball, m = 5 kg
- Velocity of a ball, v = 3 m/s

Applying the formula:

- p = m × v
- p = 5 × 3
- p = 15 kg m/s

Therefore, the momentum of a ball is **15 kg m/s** towards the east.

### Problem #2

A car with a mass of 800 kg is moving towards the north with a velocity of 10 m/s. What is the momentum of the car?

**Solution**

Given data:

- Mass of a car, m = 800 kg
- Velocity of a car, v = 10 m/s
- Momentum of a car, p = ?

Applying the formula:

- p = m × v
- p = 800 × 10
- p = 8000 kg m/s

Therefore, the momentum of a car is **8000 kg m/s** towards the north.

### Problem #3

What is the momentum of a 3000 kg truck traveling on the highway towards the west with a velocity of 8 m/s?

**Solution**

Given data:

- Momentum of a truck, p = ?
- Mass of a truck, m = 3000 kg
- Velocity of a truck, v = 8 m/s

Applying the formula:

- p = m × v
- p = 3000 × 8
- p = 24000 kg m/s

Therefore, the momentum of a truck is **24000 kg m/s** towards the west.

### Problem #4

If a bicycle with a mass of 5 kg is moving at a velocity of 15 m/s towards the south, what is the momentum of the bicycle?

**Solution**

Given data:

- Mass of a bicycle, m = 5 kg
- Velocity of a bicycle, v = 15 m/s
- Momentum of a bicycle, p = ?

Applying the formula:

- p = m × v
- p = 5 × 15
- p = 75 kg m/s

Therefore, the momentum of a bicycle is **75 kg m/s** towards the south.

## Related

## More topics

- Free fall equation
- Air resistance formula
- Terminal velocity equation
- Gravity equation
- Inertia formula
- Acceleration formula
**Momentum equation**- Mass formula
- Velocity formula
- Pressure equation
- Kinematic equations
- Friction equation

## External links

- 8.1 Linear Momentum, Force, and Impulse – Physics – OpenStax
- Momentum – Wikipedia
- Momentum Equation – an overview – ScienceDirect
- Conservation of Momentum – NASA (.gov)
- Momentum – The Physics Classroom
- Linear Momentum | Definition, Formula & Examples – Study.com
- 8.5: Derivations of the Momentum Equation – Engineering LibreTexts
- 8.1 Linear Momentum and Force – College Physics chapters 1-17 – UH Pressbooks
- What is the equation for momentum? – Quora
- Force and momentum – Momentum – Higher – AQA – BBC
- Momentum Calculator p = mv – Calculator Soup
- Momentum (Physics): Definition, Equation, Units (w/ Diagrams & Examples) – Sciencing

Deep

Learnool.com was founded by Deep Rana, who is a mechanical engineer by profession and a blogger by passion. He has a good conceptual knowledge on different educational topics and he provides the same on this website. He loves to learn something new everyday and believes that the best utilization of free time is developing a new skill.