HW$3$

$(50$ Points$)$ Energy Stored in a Spring: The force required to compress a linear spring is given by

the equation

$F=kx$

where $F$ is the force in newtons and $k$ is the spring constant in newtons per meter. The

potential energy stored in the compressed spring is given by the equation

$E=\frac{1}{2}k{x}^2$

where $E$ is the energy in joules. The following information is available for $4$ springs:

Write a MATLAB program to determine the compression for each spring and the potential

energy stored in each spring. Have the program graph the potential energy and show which

spring has the most energy stored in it$?$