PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION

     This problem is due at your first recitation meeting after Mon. 10/18.
     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 symbols defined in 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. (10 points total)
     
             SERWAY - CHAPTER 8

        56.  A 10-g mass is attached to the end of an unstressed, light, 
             vertical spring (k = 49 N/m) and then dropped.  Answer the 
             following questions by considering the potential energy due 
             to the spring plus the potential energy due to gravity, i.e. 
             measure distances from the equilibrium position of the spring 
             with no mass attached. (a)  What is the maximum speed of the 
             falling mass?  (b) How far does the mass drop before coming 
             to rest momentarily?  (c) Repeat (a) and (b), but answer the 
             questions by considering the potential energy of the spring 
             with the mass attached, i.e. measure distances from the
             equilibrium position of the spring with the mass attached.