A force, F, on a body of mass m causes the body to accelerate. Denote the acceleration of the body by a. The relationship between force, mass, and acceleration is
F = ma.
If we take the unit of mass to be a kilogram, the unit of distance to be a meter, and the unit
of time to be a second, then what are the units of force?
force=kg-m/s^2 which is also called a Newton.
To determine the units of force, let's look at the equation F = ma.
Using the given units:
- Mass (m) is in kilograms (kg).
- Acceleration (a) is in meters per second squared (m/s²).
So, to get the units of force (F), we need to determine what combination of units produces the desired outcome of kg * m/s².
Multiplying kg by m/s² gives us the unit kg * m/s², which is known as a "Newton" (N).
Therefore, the units of force, represented by F, are Newtons (N).