A ball of mass m = 1.75 kg is released from rest at a height h = 68.0 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 = 8.50 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. (a) Find the speed of the ball just as it touches the spring. m/s (b) Find the force constant of the spring.

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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.