Given an oscillator of mass 2. 0kg and spring constant of 180N/m, what is the period without damping? Use numerical methods to model this oscillator with an additional friction force equal to F(damping)=-cv where c is a positive damping constant. Using c=5. 0, what is the new period of oscillation. What about for c=10? Assume initial position is 0. 2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.