Objective: Write Matlab code to define a scalar, vector, or matrix. Use the dot syntax for correct operation on vectors and matrices.

If a force $($F$)$ is applied to compress a spring, the displacement of the spring $($x$)$ may be modeled by Hooke's law.

k is the spring constant $($N$/$m$),$ with displacement in meters and force in N$.$

The potential energy $($U$)$ of the same spring maybe be calculated.

Five springs have been tested and the data is shown below.

F: $14,18,8,9,13$

x: $0\mathrm{.}013,0\mathrm{.}02,0\mathrm{.}009,0\mathrm{.}01,0\mathrm{.}012$

Write a matlab script that stores the values for F and x as vectors. Then calculate the spring constant $($named $"$k$")$ and potential energy $($named $"$U$")$ for each spring. Determine the maximum potential energy $($named $"$M$").$