Q1. A short polymer molecule ( 20 points) Consider the spring-mass system in the Figure below, which is a simplified model of a short polymer molecule. The springs connecting adjacent blocks have a spring constant k1 while the two outer springs have a spring constant k2. All the springs have a natural length of one. The blocks have the same mass and negligible width, and they are free to move but only along the x direction. (a) Write the matrix equation for the equilibrium positions of the block. (b) Write a Python program that plots the total length of the system as a function of k1/k2