5. A 1900 kg car rounds a curve of radius 73.0 m banked at an angle of 15.0°. What is the magnitude of the friction force required for the car to travel at 86.0 km/h? N
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We are given mass of car. We are given radius of curve and also angle of banking. We are also given speed with which the car turns. We find the frictional force by applying equilibrium condition along vertical. We obtain 2 equations and we solve them to get frictional force.
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- 16. A banked circular road is designed for traffic moving at 60.0 km/h, radius of the curve is 200.0 m. Draw FBD and find angle. It is a stormy night and cars are traveling at 40.0 km/h. What is minimum coefficient of friction that will allow cars to negotiate turn without sliding?114. A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r = 9.00 m. A passenger feels the seat of the car pushing upward on her with a force equal to three times her weight as she goes through the dip. How fast is the roller coaster traveling at the bottom of the dip?
- 2. Two weights (750 g each) are tied together by a string and swung at a high rate of speed in a vertical circle. The inner string attached to the inner weight is 54.0 cm long and the outer string that connects the two weights is 36.0 cm long. a) On a particular time around the outer weight is traveling at 7.20 m/s at its highest point when the strings are vertical. Draw a force diagram for each weight. b) What is the angular speed of each weight at the highest point? What is the acceleration of each weight? c) What is the tension force of the outer string on the outer weight at this highest point? d) What is the tension force of the inner string on the inner weight at the highest point? e) Assume the weights are traveling the same speed when they reach their lowest point and the strings are vertical. What is the tension for of the outer string on the outer weight and the tension force of the inner string on the inner weight at this lowest point? Why are these different answers than in…7. A 1200 kg car rounds a curve of radius 64.0 m banked at an angle of 14°. What is the maximum speed that the car can reach without skidding if the coefficient of static friction between the tires and the road is 0.58?If the curve on the road has a bank angle of 18 degrees and the radius of curvature is 225m. a) what is the maximum speed you can go if the coefficient of friction between the tires and the road is 0.3? Your car is 1500kg. b)What is the minimum speed you can go without sliding?
- 1. A racing bicycle with rider has a combined mass of 85 kg. The racer is on a velodrome (circular racing track) that has banked curves. The surface is banked at an angle of 35° from horizontal. The track has a radius of 60 m. a) Draw a free-body diagram of the racer viewing the racecar from the front (left) and from above (right.) Ignore friction. Indicate the direction of the acceleration of the racer next to your diagram. b) Based on your free-body diagram do you think the car could possibly stay on a circular path (the track) without friction? Explain. c) Which of the forces you drew has a component in the same direction as the acceleration? Explain. d) Write down your force equations and solve for the acceleration of the racer moving at a constant speed around the track with no friction. (Hint: Use the direction of the acceleration as one of your axes. Do not use along-the-incline and perpendicular-to- the-incline as your axes.) e) What speed would the racer have with this…Problem 1. What is the maximum speed with which a 2,000-kg car can round a turn of radius 75.0 m on a flat (horizontal) road if the coefficient of static friction between the tires and the road is 0.600? What angle should the turn be banked to keep the car on the bank at this speed if the coefficient of static friction is changed to 0 (an iey curve)?A 0.208 kg toy can be whirled in a horizontal circle of 1.0 meter radius at a maximum of 3.0 rev/s before the string or cable breaks. What is the force needed to break the string?
- b) The maximum speed that a car can turn a curve of 9.00 m radius without skidding is 70.0 mph (miles per hour). If the coefficient of friction between the tires and the road is 0.600, what is the rated speed of the banked curve? On a wet day, the same car begins to skid on the curve when its speed reaches 60.0 mph. What is the coefficient of friction in this case? Please answer with complete solution and fre body diagram3. A car of mass m is traveling along a circular track of radius r with a constant speed v. Determine the minimum coefficient of static friction between the tires and the track required for the car to remain in circular motion if: a. the track is flat. b. the track has an angle2. A car making a turn on a banked highway ramp is experiencing friction. The coefficient of static friction between the tires and the road is 0.25. Determine the maximum speed at which the car can safely negotiate a turn of radius 2.7 x 102 m with a banking angle of 15.0°. Draw the necessary FBD.