(a) How much will a spring that has a force constant of
\(40.0 \mathrm{N} / \mathrm{m}\) be stretched by an object with a mass of \(0.500
\mathrm{kg}\) when hung motionless from the spring? (b) Calculate the decrease
in gravitational potential energy of the \(0.500-\mathrm{kg}\) object when it
descends this distance. (c) Part of this gravitational energy goes into the
spring. Calculate the energy stored in the spring by this stretch, and compare
it with the gravitational potential energy. Explain where the rest of the
energy might go.