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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. What is the minimum rotational frequency, in rpm, for which the ride is safe?
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- A 1.09 kg block is placed at one end of a wooden plank that is 2.02 m long. The plank is slowly tilted. M (a) The block starts to slide when the angle reaches 16 degrees. What is the coefficient of static friction between the block and the ramp? (b) The coefficient of kinetic friction between the block and the ramp is about 0.20. At what rate will the block accelerate down the plank if it is tilted at 16 μκ degrees?arrow_forwardAn engineer is working on determining the speed limit for a curved stretch of road. She knows the coefficient of friction between the wheels and the road is 0.75 when the road is dry and 0.4 when the road is wet. She also knows that the mass of the vehicle does not matter, but completes her calculations for a 700kg car. In order to set a speed limit that is safe under any conditions, should she perform her calculations with the coefficient of friction for wet or dry pavement? wet Answer the following questions for the case when the car is traveling at the maximum speed with the road conditions selected above. In this case, what is the car's centripetal acceleration? m/s² In this case, what is the car's speed? m/s mph Could vehicles, obeying a speed limit of 75mph, navigate the curve in both wet and dry conditions? yes Reference 1 2 350m 3 4 5 6 7arrow_forwardA 3.47 kg block is placed at one end of a wooden plank that is 9.05 m long. The plank is slowly tilted.(a) The block starts to slide when the angle reaches 70 degrees. What is the coefficient of static friction between the block and the ramp?(b) The coefficient of kinetic friction between the block and the ramp is about uR = 0.13. At what rate will the block accelerate down the plank if it is tilted at 60 degrees?arrow_forward
- A pine sphere (??pine = 0.545 g/cm3) with a radius of 10.0 cm is connected to a largeiron anchor with a string. Both objects are tossed into a freshwater lake.After a bit of time has passed, what is the tension in the string?arrow_forwardA large box of mass M is moving on a horizontal floor at speed v0. A small box of mass m is sitting on top of the large box. The coefficient of static friction between the two boxes is μs and coefficient of kinetic friction between the large box and floor is μk. Find an expression for the shortest distance dmin in which the large box can stop without the small box slipping.arrow_forwardA 200-g hockey puck is launched at an initial speed of 16 m/s up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. What vertical height does the puck reach above itsstarting point?arrow_forward
- A 4.00 kg block sits on a table top with a coefficient of static friction of 0.470 and a coefficient of kinetic friction of 0.320. A weight is attached by a string to the block so as to just overcome the force of static friction acting on the block. What is the acceleration of the block?Please give a step by step for the solution and a final answer.Thanks!!arrow_forwardA 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 4.9 m/s. What speed does it have when it slides back down to its starting point?arrow_forwardA man is walking up a hill inclined at 24 degrees at constant speed while pulling a 23.6 kg box by a rope that is attached to it. If the angle the rope makes with the surface of the hill is 31 degrees and the coefficient of kinetic friction between the box and the hill is 0.10, what is the tension in the rope?arrow_forward
- A 5.00-kg box is placed on an adjustable inclined plane, initially at rest. The coefficient of static friction between the box and the plane is 0.79. Once the box is set into motion, if the incline needs to be at a 25° angle with the horizontal for the box to move at a constant speed, what should be the coefficient of kinetic friction between the box and the plane?arrow_forwardYou probably think of wet surfaces as being slippery. Surprisingly, the opposite is true for human skin, as you can demonstrate by sliding a dry versus a slightly damp fingertip along a smooth surface such as a desktop. Researchers have found that the static coefficient of friction between dry skin and steel is 0.27, while that between damp skin and steel can be as high as 1.4. Suppose a man holds a steel rod vertically in his hand, exerting a 400 N grip force on the rod. What is the heaviest rod he can hold without slipping if a. His hands are dry?b. His hands are wet?arrow_forwardKarev is lowering two boxes, one on top of the other, down the ramp, as shown in the figure, by pulling on a rope parallel to the surface of the ramp. Both boxes move together at a constant speed of 15 cm/s. The coefficient of kinetic friction between the ramp and the lower box is 0.444, and the coefficient of static friction between the two boxes is 0.800. (b) What are the magnitude of the friction force on the upper box?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning