(Figure 1) 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 in revolutions per minute. Figure 1 of 1 • View Available Hint(s) 1ν ΑΣφ ? f = rpm Submit

Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?

2. (a) A distant planet has radius 3.6 x 106 m. A 6 kg cat weighs 22 N on the surface of this planet. Calculate the mass of the planet. (b) You push a 65 kg desk horizontally and it accelerates at 1.2 m/s2. If the coefficient of kinetic friction between the desk and floor is 0.38, calculate the magnitude of the force you apply to the desk.

In an old-fashioned amusement park ride, passengers stand inside a 3.90 m diameter hollow steel cylinder with the backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a coefficient of static coefficient of friction against steel in the range of 0.690 to 1.0 and a kinetic coefficient in the range 0.480 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed in rpm (do not enter units) for which the ride is safe? Assume that the local acceleration due to gravity is -9.80 m/s². Submit Answer Tries 0/10

One of the rides at an amusement park consists of small cars that are supported by steel cables 5.00 m long and rotated in a circle at gradually increasing speed.  As the speed increases, the cars rise.  Find the speed of a car when the cable makes an angle of 35.0 degrees with the vertical.

Your 1500 kg SUV enters a 35.0 m radius traffic circle. It is an icy day and the coefficient of static friction between your tire and the road is 0.15. What is the maximum speed that you can go through the traffic circle without sliding? Answer in km/h.

A 150-lb block rests on a horizontal surface. The coefficient of static and kinetic frictions between the block and the surface are 0.30 and 0.20, respectively. What is the acceleration of the block when P = 90 lb. P μs=0.30, μk=0.20 150 lb

A "swing" ride at a carnival consists of chairs that are swung in a circle by L = 15.8 m cables attached at an angle of θ = 57.4° to a vertical rotating pole, as the drawing below shows. Suppose the total mass of a chair and its occupant is 161 kg. Calculate the tension in the cable attached to the chair.

A sample of blood is placed in a centrifuge of radius 10.0 cm. The mass of a red blood cell is 3.0 ✕ 10−16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 ✕ 10−11 N. At how many revolutions per second should the centrifuge be operated? ?rev/s

Dandelion seeds have a plume made of thin filaments that create a very large drag coefficient due to subtle aerodynamics as the air moves through and past the plume. The slower terminal speed and longer time in the air provide greater dispersal than would be possible for simple spherical seeds. A 0.63 mg seed has a plume with a cross-section area of 13 mm, and it falls with a terminal speed of 40 cm/s.