A ball of mass m = 1.50 kg is released from rest at a height h = 73.0 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 = 8.40 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. (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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Q: A pogo stick has a spring with a force constant of 2.50 × 104 N/m , which can be compressed 10.4 cm.…

A: M= 38 kg  K= 2.5× 104 N/m  x= 10.4 cm = 0.104 m

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A: m = 0.220 kg K = 120 N/m x1 = 11.2 cm = 0.112 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.