Dimension of Spring Force Constant

Theorem
The dimension of a spring force constant is $$M T^{-2}$$.

Proof
From Hooke's Law, we have:


 * $$\mathbf F = -k \mathbf x$$

where:
 * $$\mathbf F$$ is a force, of dimension $$M L T^{-2}$$;
 * $$x$$ is a displacement, of dimension $$L$$.

Let the dimension of $$k$$ be $$D$$.

Then we have:
 * $$M L T^{-2} = D L$$

from which the result follows immediately:
 * $$D = M T^{-2}$$