Posted by Elizabeth on Saturday, December 1, 2012 at 7:20pm.
The increase in potential energy in stretching from 0.13 to 0.22 m equals the decrease in kinetic energy of the metal sphere. That will let you solve for the spring constant k.
k [(.22)^2 -(.13)^2] = (m/2)[(5.95)^2 - (4.75)^2]
You know the mass m, so solve for k.,
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