A horizontal spring (ksp = 1550 N/m) is compressed a total distance of 25.5 cm.

a) Using an accurate graph of the spring force versus distance plot for this situation, graphically determine how much working was done to compress the spring from 5.00 cm to 10.0 cm AND from 15.0 cm to 20.0 cm.

b) In part a, the spring was compressed a distance of 5.00 cm for two different situations. Compare the working for each situation to the total energy required to compress the spring the given total distance. What does this comparison tell you about the spring?

c) How fast would a 325. gram mass have to be traveling to compress the spring the given total distance assuming no friction?