A 3,000-kg truck leaves a freeway on a circular exit of radius 50 m at a speed of 15 m/s. What minimum coefficient of static friction between the tires and the road is required to keep the truck on the exit ramp without sliding?
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- An automobile is going up a grade of 15 with an initial velocity of 30 m/s. The coefficient of static friction between the tires and the road is 0.7. a) What minimum distance does it take to stop the car? b) What minimum distance would it take to stop the car if it were going down the grade?A car is driving along a circular track with diameter d = 0.59km at a constant speed of v = 21.2 m/s. Write an expression and find the value for the minimum coefficient of friction between the cars tires and road required in order to keep the car going in a circle in terms of the given parameters.A car enters a 368-m radius horizontal curve on a rainy day when the coefficient of static friction between its tires and the road is 0.52. What is the maximum speed at which the car can travel around this curve without sliding in m/s?
- 7. A car is right on the verge of sliding as it speeds around a level circular track. The radius of the circular track is 21 m, and the coefficient of static friction between the car's tires and the track is 0.7, while the coefficient of kinetic friction is 0.56. What is the speed of the car?A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of μs = 0.80 and μk = 0.50. The turntable very slowly speeds up to 60 rpm. Does the coin slide off?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?
- A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates a curve in the flat road. The curve may be regarded as an arc of a circle of radius 33.8 m. If the coefficient of static friction between crate and truck is 0.610, how fast can the truck be moving without the crate sliding? Vmax= m/sYou are playing stuffleboard and you must slide your weighted disk 8m across the floor where it will come to rest on the target. You give it an initial push of 4 m/s but then it slides on its own to a stop. The disk is 0.8 kg. What is the coefficient of friction if your shot is perfect a bull's eye?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
- 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.The objective of curling, an Olympic discipline, is to throw stones at houses. The stone is a 18 kg block of granite that slides on the carefully prepared ice with a very low coefficient of kinetic friction, μk = 0.0178. With a curling broom the players can increase the friction to get as close as possible to the house, the target pattern embedded in the ice. Frequently an oncoming stone will bump a stone from a previous throw by the competing team. A stone reaches the house with a velocity of 1.2 m/s after traveling the 38 m length of the curling sheet. How fast the stone was going when it was released? The stone did not hit any other stones.You are driving through the Ouachita Mountains at 12m/s. You see a maple-leaf oak (Quercus acerifolia) crossing the road and hit the brakes, 20m away. The coefficient of kinetic friction between your tires and the road is μ_k = 0.7. Will you strike this endangered broadleaf? Justify your answer with a calculation.Your final answer should be the distance you will travel before coming to a stop.