The following mass-spring system is sliding on a surface of kinetic friction. x(t) k m F(t) The system has the following parameters for initial design purposes subject to changes based on overall system performance m = 100 kg, k = 1300 N/m x(0) = 0.4m, v(0) = 0.01, = 0.08, F(t)=0 m' 1. Obtain the equation of motion of the system (10 points) Absolutely No Partial Credit. 2. Derive the equivalent first-order ODEs with initial conditions to represent part 1 (5 points) 3. Using Matlab* ODE solver with "best" accuracy, obtain and plot the response of the system for 0 t 5s. (10 points) *Turn in your Matlab code and function with comments in PDF format. Turn in all handwritten materials to receive credit. Please turn in your solutions in the order of the questions in PDF format.