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"This question is related to the conservation of energy lab: a 1.0
kg mass is hung from a spring which is then observed to stretch 5
cm. The mass is then pulled down 25 cm from the unstretched length
of the spring and released from rest.
a) find the spring constant of the spring
b) find the total potential energy (spring and gravitational)
of the system after it is stretched down. (Define the origin to be
the bottom of the unstretched spring.)
c) Use conservation of energy to find the speed of the mass as
it passes through the midpoint (i.e. 12.5 cm from the origin)"