Afisherman has caught a very large, 5.0kg fish from a dock that is 2.0m above the water. he is using lightweightfishing line that willbreak under a tension of 54n or more. he is eager to the fish to the dock in the shortest time possible. if the fish is at rest at the water's surface, what is the least amount of time in which the fisherman can raise the fish to the dock without losing it?

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will “stick” to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. part a what is the minimum rotational frequency, in rpm, for which the ride is safe? express your answer using two significant figures. f f = rpm