Saturday, October 1, 2016

Force

The potential energy is given by the function U(x)=kx⁻¹, where k is a constant, and variable x is the position, the coordinate. Derive the function of the coordinate x, which describes the force produced by this potential energy.

F(x)= - d U(x) / dx
F(x)= - d kx⁻¹ / dx = kx⁻²

F(x)= kx⁻²