Kay is a 50kg pole vaulter with a standing center of mass of 1.0m. During the approach to her first vault she is able to run at a velocity 9.0m/s just before putting the pole to the ground but was unsuccessful at clearing the height of 5.5m. How much kinetic energy does Kay have just before putting the pole to the ground?   How much kinetic energy must Kay have to be able to achieve her goal height of 5.5m?   How fast must Kay run to be able to achieve her goal height?

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Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.