What is the spring constant of a spring? Write its unit and dimensional formula.

(N/A) The spring constant $(k)$ is a measure of the stiffness of a spring. It is defined as the restoring force per unit extension or compression of the spring,according to Hooke's Law: $F = -kx$.
$1$. Unit: The $SI$ unit of spring constant is $N/m$ (Newton per meter) or $kg/s^2$.
$2$. Dimensional Formula: Since $F = kx$,we have $k = F/x$.
- The dimension of force $(F)$ is $[MLT^{-2}]$.
- The dimension of displacement $(x)$ is $[L]$.
- Therefore,the dimension of $k$ is $[MLT^{-2}] / [L] = [MT^{-2}]$.