PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION

     This problem is due at your first recitation meeting after Tue. 10/10.
     It should be written on a single sheet of paper (front and back), or
     if multiple sheets are used, staple them together.  For full credit, 
     the work must be neat, with clearly labeled diagrams.  The labels must 
     be in BOTH words and symbols.  For each part, you must BRIEFLY explain 
     your strategy in words, as well as neatly showing your physics equations 
     and math, with proper units. (20 points total)
     
     HRW - CHAPTER 6
     36.  A 3.0 kg ladle sliding on a horizontal frictionless
          surface is attached to one end of a horizontal spring
          (with k = 500 N/m) whose other end is fixed.  The ladle
          has a kinetic energy of 10 J as it passes through its
          equilibrium position (the point at which the spring 
          force is zero).  (a) At what rate is the spring doing
          work on the ladle as the ladle passes through its 
          equilibrium position?  (b) At what rate is the spring 
          doing work on the ladle when the spring is compressed
          0.10 m and the ladle is moving away from the
          equilibrium position?