A certain amusement park ride consists of a large rotating cylinder of radius R = 3.15 m. As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be great enough to hold the riders in place as the floor drops out from under them. A person is completely inside a large, vertical cylinder. The central axis of the cylinder is marked with a dashed, vertical line. The radius of the cylinder is capital R. A curved arrow below the cylinder points to the right to indicate counterclockwise rotation of the cylinder about its central axis if viewed from above. The person inside the cylinder has their back against the right interior wall of the cylinder with their feet above the base of the cylinder. If the cylinder makes f = 0.470 rotations / s , what is the magnitude of the normal force F N between a rider and the wall, expressed in terms of the rider's weight W ?

   N = m 30.52 N

Explanation:

For this exercise we use Newton's second law

         N = m a

         Fr –w = 0

Acceleration is centripetal

         a = v² / r

         v = w r

         a = w² r

We substitute

         N = m w² r

We reduce to the SI system

        W = 0.470 rotations / s (2π rad / 1 rotation) = 2.953 rad / s

Let's calculate

        N = m 2.9532 3.5

         N = m 30.52

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.