Note on submission: You have to submit: 1. A single PDF document summarizing all the solutions. 2. An individual MATLAB (.m) script file for each problem, which should have a brief de- scription in the beginning and necessary comments Problem 1. Energy stored in a spring (20 points) The force required to compress a linear spring is given by 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 gived by 2 where E is the energy in joules. Plot energy E as a function of ( e [0, 10) for two different spring constants k = 20N/m. 30N/m . Requirements are as follows: 1. Use different lines and markers for different k values(5 points) 2. Have labels on both axes (4 points), legends for different k values (4 points) 3. Use proper font size, line width and marker size (4 points) 4. In the PDF document, have a caption describing the figure 3 points)