Suppose you drop your pencil on the floor while working at a desk on your problem set. roughly estimate the change in entropy of the universe well after the pencil comes to rest. note: an approximate, order-of-magnitude numerical estimate is what we are looking for here. but briefly specify and justify any major approximations or assumptions you make.

Two students, each riding bicycles, start from the same apartment building and ride to the same building on campus, but each takes a different route. the first student rides 1100 m due east and then turns due north and travels another 1430 m before arriving at the destination. the second student heads due north for 1930 m and then turns and heads directly toward the destination.at the turning point, how far is the second student from the destination?