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Q.
Which graph represents conservation of total mechanical energy?
Work, Energy and Power
Solution:
When a spring is compressed to extreme distance $-x_{m}$, the kinetic energy $K$ decreases due to resistive internal forces, while the potential energy $U$ increases.
The same is true for expansion of spring.
This variation is shown below, where parabolic plots of the potential energy $U$ and kinetic energy $K$ of a block attached to a spring obey Hooke's law. The two plots are complementary,
i.e. one decreases as the other increases. The total mechanical energy, $E=K+U$ remains constant.
