Consider a body that moves horizontally through a medium whose resistance is proportional to the square of the velocity v, so that dv=dt D "kv2. Show that v. t / D v0 1 C v0kt and that x. t / D x0 C 1 k ln.1 C v0kt /: Note that, in contrast with the result of Problem 2, x. t / ! C1 as t ! C1. Which offers less resistance when the body is moving fairly slowly—the medium in this problem or the one in Problem 2? Does your answer seem consistent with the observed behaviors of x. t / as t ! 1?

If steel is more dense that lake water, why can a boat float

Calculate the ratio of h+ ions to oh– ions at a ph = 6. find the concentration of h+ ions to oh– ions listed in table b of your student guide. then divide the h+ concentration by the oh– concentration. record this calculated ratio in table a of your student guide. compare your approximated and calculated ratios of h+ ions to oh– ions at a ph = 6. are they the same? why or why not? record your explanation in table a. what is the concentration of h+ ions at a ph = 6? mol/l what is the concentration of oh– ions at a ph = 6? mol/l what is the ratio of h+ ions to oh– ions at a ph = 6? : 1

If a balloon is taken outside on a very cold day, what will occur?