In the International System of Units (SI), the dimension of force is measured in newtons (N). The dimension of force can be expressed as the product of mass (kg) and acceleration (m/s²). Mathematically, it can be represented as:
Force (F) = Mass (m) × Acceleration (a)
In terms of dimensions, force can be written as:
[F] = [M] × [L] × [T]^(-2)
where [M] represents the dimension of mass (kilogram), [L] represents the dimension of length (meter), and [T] represents the dimension of time (second).
So, the dimension of force is equivalent to mass times length divided by time squared, which is expressed as [M] × [L] × [T]^(-2).