1. A 2.2kg mass is attached on the right side of a 31cm spring with a spring constant of 85N/m. The left side of the spring is attached to a wall. The spring can only move horizontally along a frictionless surface.
   1. How much force is needed to compress the spring so that the end is 18cm away from the wall?
   2. What is the maximum length away from the wall that the spring can extend using the same force in part a?
   3. What is the period of this spring-mass system?
   4. During the SHM, imagine that a second identical spring connects to the mass in parallel. Would the period become longer or shorter? Show how you know.
   5. During the SHM, imagine that a second identical spring connects to the mass in series. Would the period go up or down? Show how you know.
   6. What would happen to the motion of the mass if suddenly the surface gained friction? Please explain and draw a diagram.