2. The energy of the mass-spring system is given by the sum of the kinetic energy and the potential energy. In the absence of damping the energy is conserved (a) Add commands to LABO5ex1 to compute and plot the quantity EIm2k as a function of time. What do you observe? (pay close attention to the y-axis scale and, if necessary, use ylim to get a better graph) Include at least one plot. Does the graph confirm the fact that the energy is conserved? (b) Show analytically that 0. (Note that this proves that the energy is constant). curve ever get close to the origin? Why or why not? What does that mean for the mass-spring system? Mass-Snrine System with Damnine clear all; % clear all var iables k - 25 ; % spring constant [N] oega0rt (k/m) yo --o.8; v0- k/mo. 3; % initial conditions y - YC: ,1); v - YC: ,2); % retrieve y, v from Y figure (1); plot(t,y,'ro-t.v'-"% tine series for y and v grid on: axis tight; function dYdt - f(t,Y,omega); % function defining the DE y -Y(1V-Y (2) end