In Figure 16.2c the hand moves the end of the Slinky up and down through two complete cycles in one second. The wave moves along the Slinky at a speed of 0.50 m/s. Find the distance between two adjacent crests on the wave.

Two systems in contact o Microstates multiply, entropies add We know that energy is what makes things happen Lowering energy can drive processes o Spontaneity when Q is out (Q < 0) Increasing energy can drive things o Spontaneity when entropy increases (change in S > 0) Spontaneity is the balance of these two factors Usually significantly more ways to move energy around than matter so the total number of microstates is typically dominated by energy The number of microstates in a combination of two subsystems multiplies o Wtotal = WA x WB Since entropy is the logarithm of W, entropies add o Stotal = KB x ln(Wtotal) o Stotal = KB x ln(WA x WB) o Stotal =[ KB x ln(WA)] + [KB