Units of Momentum
Units of Momentum
What is Momentum?
Momentum Formula
The formula for momentum is a key concept in physics that describes the motion of an object. Momentum (p) is calculated as the product of an object’s mass (𝑚) and its velocity (v). This relationship can be expressed through the equation:
Mass (𝑚): This is the amount of matter in an object, usually measured in kilograms (kg). The mass is a scalar quantity, meaning it has magnitude but no direction.
Velocity (v): Velocity is the speed of the object in a specific direction, making it a vector quantity. It is typically measured in meters
What are units of Momentum?
The units of momentum are expressed as kilogram meters per second (kg·m/s). This unit derivation comes from the momentum formula p=m×v, where 𝑚 represents mass measured in kilograms (kg) and v denotes velocity measured in meters per second (m/s). The resulting unit, kg·m/s, indicates the product of an object’s mass and its velocity, providing a measure of its momentum which is fundamental in understanding motion dynamics and the effects of forces in physics.
SI units of momentum
CGS units of momentum
The CGS (Centimeter-Gram-Second) units of momentum are gram centimeters per second (g·cm/s). This unit arises from using the CGS system’s base units for mass and velocity, where mass is measured in grams and velocity in centimeters per second.
List of Units of momentum
| Unit Name | Symbol |
|---|---|
| Kilogram meters per second | kg·m/s |
| Gram centimeters per second | g·cm/s |
| Slug feet per second | slug·ft/s |
| Pound feet per second | lb·ft/s |
Kilogram meters per second (kg·m/s)
The kilogram meter per second is the SI unit of momentum. It represents the momentum carried by a mass of one kilogram moving at one meter per second. It is widely used in physics to describe the quantity of motion of an object
Gram centimeters per second (g·cm/s)
The gram centimeter per second is the CGS unit of momentum. It measures the momentum of a mass of one gram moving at one centimeter per second. This unit is often used in smaller-scale physics calculations and laboratory settings.
Slug feet per second (slug·ft/s)
A slug foot per second is a unit of momentum used in the imperial system. It quantifies the momentum of a mass of one slug moving at one foot per second. This unit is prevalent in regions that utilize the imperial system, such as the United States.
Pound feet per second (lb·ft/s)
The pound foot per second is another imperial unit of momentum. It describes the momentum of a mass of one pound moving at one foot per second. This unit is commonly used in various engineering and scientific applications within the United States
Conversion of Momentum Units
| From Unit | To Unit | Conversion Factor | Formula |
|---|---|---|---|
| Kilogram meters per second (kg·m/s) | Gram centimeters per second (g·cm/s) | 1 kg·m/s = 100,000 g·cm/s | value in kg\cdotpm/s×100,000value in kg\cdotpm/s×100,000 |
| Gram centimeters per second (g·cm/s) | Kilogram meters per second (kg·m/s) | 1 g·cm/s = 0.00001 kg·m/s | value in g\cdotpcm/s×0.00001value in g\cdotpcm/s×0.00001 |
| Slug feet per second (slug·ft/s) | Pound feet per second (lb·ft/s) | 1 slug·ft/s = 32.174 lb·ft/s | value in slug\cdotpft/s×32.174value in slug\cdotpft/s×32.174 |
| Pound feet per second (lb·ft/s) | Slug feet per second (slug·ft/s) | 1 lb·ft/s = 0.03108 slug·ft/s | value in lb\cdotpft/s/32.174value in lb\cdotpft/s/32.174 |
From Kilogram meters per second (kg·m/s) to Gram centimeters per second (g·cm/s)
Example: If the momentum is 2 kg·m/s, it converts to 200,000 g·cm/s.
From Gram centimeters per second (g·cm/s) to Kilogram meters per second (kg·m/s)
Example: If the momentum is 200,000 g·cm/s, it converts to 2 kg·m/s.
From Slug feet per second (slug·ft/s) to Pound feet per second (lb·ft/s)
Example: If the momentum is 3 slug·ft/s, it converts to 96.522 lb·ft/s.
From Pound feet per second (lb·ft/s) to Slug feet per second (slug·ft/s)
Example: If the momentum is 96.522 lb·ft/s, it converts to approximately 3 slug·ft/s.
Examples of Momentum units
- Kilogram meters per second (kg·m/s)
- Example: A car with a mass of 1000 kg moving at a speed of 20 m/s has a momentum of: Momentum=1000 kg×20 m/s=20,000 kg\cdotpm/sMomentum=1000kg×20m/s=20,000kg\cdotpm/s
- Gram centimeters per second (g·cm/s)
- Example: A baseball with a mass of 145 g traveling at a speed of 40 cm/s has a momentum of: Momentum=145 g×40 cm/s=5800 g\cdotpcm/sMomentum=145g×40cm/s=5800g\cdotpcm/s
- Slug feet per second (slug·ft/s)
- Example: A freight train car with a mass of 10 slugs moving at 30 ft/s has a momentum of: Momentum=10 slug×30 ft/s=300 slug\cdotpft/sMomentum=10slug×30ft/s=300slug\cdotpft/s
- Pound feet per second (lb·ft/s)
- Example: A football with a mass of 0.75 lb moving at 60 ft/s has a momentum of: Momentum=0.75 lb×60 ft/s=45 lb\cdotpft/sMomentum=0.75lb×60ft/s=45lb\cdotpft/s
FAQs
Does momentum have some units?
Momentum is measured in units such as kilogram meters per second (kg·m/s) in the SI system and gram centimeters per second (g·cm/s) in the CGS system. These units reflect the product of an object’s mass and its velocity.
What are the units for momentum function?
The units for momentum are typically expressed in kilogram meters per second (kg·m/s) in the International System of Units (SI) and gram centimeters per second (g·cm/s) in the Centimeter-Gram-Second (CGS) system. These units reflect the product of an object’s mass and its velocity.
What are the units of momentum in particle physics?
In particle physics, momentum is often measured in electronvolts per speed of light (eV/c), adapting energy units to describe particle velocities close to light speed.
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