(Banked curve) Find the required banking angle for a curve of radius 300 m, if the curve is to be negotiated at a speed of 22.2 m/s without friction.
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- 13) If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed in (m/s) to take a 110 m radius curve banked at 15°. _____ m/s (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?(4). (a) A 1,050 kg car makes a circular turn of radius 15m on a flat concrete road, if the speed is v= 8m/s %3D to avoid skidding what should be the coefficient of static friction between the tires and the road ? (b) A bicycle moving on a banked road at a speed of v=10m/s makes a circular turn. The radius of the circle is estimated to be 42 m. What is the angle of elevation, to the nearest tenth place, of the road with respect to the horizontal?4) À car travels around a curve banked at 10° to the horizontal. The radius of the curve is 90 m and the car is travelling at 61.2 km/h. Determine μs. 5) An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp. h 6) A roller blader (84 kg) is travelling at 19 m/s [E]. A 21.2 kg child is riding a 7.8 kg bike at a speed of 6 m/s [W]. The roller blader and the cycling child collide in what can be assumed to be an elastic collision. What are the final velocities of the roller blader and the…
- A 3000-pound automobile is negotiating a circular interchange of radius r = 400 feet at s = 30 miles per hour (see figure). (a) Assuming the roadway is level, find the force between the tires and the road such that the car stays on the circular path and does not skid. (Use F = ma, where m = 3000/32. Round your answer to the nearest integer.) (b) Find the angle at which the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. (Round your answer to one decimal place.)See attachedIf a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed to take a 105 m radius curve banked at 15.0∘? . (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 10.0 km/h?