
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
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