Consider a weight held in place by spring. at rest, the height of the weight is . the mass of the weight is . the spring constant is . the frictional losses are characterized by the constant . the force applied to the weight after is . this leads to the ode 1. (15 points) if and , what mass will result in a critically damped system? 2. (15 points) if , , and and 1 n of force is applied continuously to the mass what is the maximum distance the mass will move from its initial position? 3. (20 points) if 1 n of force is instantaneously transferred to the system described in problem 3 at , what is the response? that is, what is ?