A solid block in the shape of a cube is sliding on a horizontal table with negligible friction at a speed v, as shown in figure (a) below. The block's mass is M, and the length of each side of the block is 2a. When it reaches the edge of the table, it strikes a small protruding "lip" that causes it to rotate about its lower right corner, as shown in figure (b). The collision when the block strikes the lip is inelastic. What is the minimum speed v that the block must have in order to just barely tip over and fall off the table? Use only the following symbols in your answer as necessary: M, a, and g.

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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.