Here's why:
* Force Constant (k): Represents the stiffness of a spring or other elastic object. It's a measure of how much force is required to stretch or compress the object by a certain distance.
* Force (F): Measured in Newtons (N).
* Displacement (x): Measured in meters (m).
Hooke's Law relates these quantities:
* F = -kx
Where:
* F is the force applied
* k is the force constant
* x is the displacement from the equilibrium position
Solving for 'k', we get:
* k = -F/x
Therefore, the units of k are N/m.