
All unit in physics can be written in
terms of a selection of unit called the base unit.

The three most important base unit are:
Each of these unit can be written in terms of base unit:
Symbol
Quantity
Unit
Special Name of Unit
\( t \)
time
seconds (s)
seconds
\( m \)
mass
kilograms (kg)
kilograms
\( x \) or \( \Delta x \)
position or displacement
meters (m)
meters
\( v \)
velocity
\( \frac{\text{m}}{\text{s}} \)
none
\( a \)
acceleration
\( \frac{\text{m}}{\text{s}^2} \)
none
\( F \)
Force
\( \text{kg} \cdot \frac{\text{m}}{\text{s}^2} \)
Newtons (N)
\( p \)
momentum
\( \text{kg} \cdot \frac{\text{m}}{\text{s}} \)
none
\( K \) or \( U \)
Kinetic Energy or Potential Energy
\( \text{kg} \cdot \frac{\text{m}}{\text{s}^2} \)
Joules (J)
For each of the following quantities, write the unit in terms of meters, kilograms, and seconds.
Mass vs. Meters
COMING SOON!
Practice
For each of the following combinations of quantities, determine the unit in terms of meters, kilograms, and seconds.
The steps are:
 Write each quantity in terms of meters, kilograms, and second.
 If a quantity is in the numerator, add its unit in the numerator. If it is in the denominator, add its unit in the denominator.
 If a quantity is raised to some power, raise its unit to that power.
 Simplify the combination of unit, as in a previous pod.

\( \frac{\left( \Delta x \right) a }{v^2} \)

\( \frac{\left( \Delta t \right) v^3 }{\left( \Delta x \right) a^2} \)

\( \frac{m^2 \left( \Delta t \right)^5}{v^3} \)
Note that \( m \) stands for mass here, not meters!

\( \frac{a^3 v^2}{m^2 \left( \Delta x \right)^4} \)
Video Resources
Flipping Physics Video