A ball of mass  m = 1.65 kg  is released from rest at a height  h = 66.0 cm  above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance  d = 7.70 cm  as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. Figures a and b show a ball of mass m above a spring of force constant k that is vertically aligned such that its lower end is attached to the ground and its upper end is unattached. The bottom of the ball is a distance h above the top of the spring. The ball is touching the top of the spring, which has been compressed a distance d. (a) Find the speed of the ball just as it touches the spring.  m/s (b) Find the force constant of the spring.  kN/m

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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.