Consider the coin diagram. We see that for the ‘four heads’ state, there are w = 1 microstates. For this question, we will call ‘two heads, two tails’ state 1, and ‘one head, three tails’ state 2. a) For state 1, find w.
b) What is the entropy of the system for state 1?
c) What is the entropy of the system for state 2?
d) Imagine now that we throw the coins and they land in state 1. We then rearrange them into state 2.
i. What is the change in entropy here?
ii. Which law does this violate?
iii. What went wrong? What must we also consider?

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?