Question

The force stretching a string is proportional to the extension produced. Find the dimensions of the constant of proportionality

Answer 1

Explanation & Calculations

$\qquad\qquad \begin{aligned} \small F&\propto \small x\\ \small F&=\small kx\\ \small [k]&=\small \frac{[F]}{[x]}\\ &=\small \frac{MLT^{-2}}{L}\\ &=\small MT^{-2} \end{aligned}$