tro to Physics class A 500 g block of wood is resting on a table, attached to a spring. You throw a 8 g dart towards the block at 100 m/s. The dart is traveling horizontally when it hits the block. The dart sticks in the block. Due to friction between the block and the table, 0.25 J of energy are dissipated as the spring compresses. If the maximum distance the spring compresses is 5 cm, what is the spring constant of the spring? Two step process starting with pi=pf with the dart hitting the block and the combined velocity, then i get lost in how the system of the dart and the block move with the friction and how to get the Uspring. Thank you

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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.