A 350g cart is given 1.4J of translational kinetic energy before it goes up a 25cm tall ramp without losing any energy. At the top of the ramp the 350g cart collides with a 500g cart that is initially at rest. After the collision the 350g cart is not moving. How much energy is wasted?

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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.