a) Find the centripetal acceleration of a vehicle through a radiused corner given that the radius of the corner is 50.0m and the vehicle is going around the corner at a steady speed of 10.0m/s b) if the car’s mass is 1200kg what is the magnitude of the centripetal force needed to prevent the car from sliding sideways? c)if the corner is not banked (so that the only force is friction) what type of friction (kinetic or static) would be needed to do the job? How big is the coefficient of friction if the car can not safely exceed 10.0m/s as it goes around the corner?

A racing car travels at a speed of 180km/h on a track banked at 30° to to the horizontal.the limiting coefficient of friction between the tyres and the track is 0.7.calculate the minimum radius of curvature of the track if the car is not to send outwards.

Engineering a highway curve. If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R = 270 m and bank angle 9, where the coefficient of static friction between tires and pavement is us. A car (without negative lift) is driven around the curve as shown in Figure (a). Find an expression for the car speed Vmax that puts the car on the verge of sliding out, in terms of R, 8, and us. Evaluate Vmax for a bank angle of 0= 11° and for (a) μ = 0.48 (dry pavement) and (b) us= 0.043 (wet or icy pavement). (Now you can see why accidents occur in highway curves when icy conditions are not obvious to drivers, who tend to drive at normal speeds.) (a) Number (b) Number i 44.45 25.17 S R Units Units -Car ( (3

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 stunt driver determines that the fastest speed at which he can take an unbanked curve without sliding is 30 mph. If the curve has a radius of 25 m what must be minimum coefficient of static friction between the road and the car tires? Does it depend on the car’s mass?

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?

Centripetal Force: How fast can a driver (90 kg) speed a racing car (1200 kg) around the banked turn without slipping under dry conditions (ustatic = 0.78) and under wet conditions (ustatic = 0.44)? radius of curvature = 120 m; track banked at 22° If this track was flat, how fast could the racers traverse the turn?

A lead ball of mass 0.25 kg is swung round on the end of a sing, so that the ball moves in a horizontal circle of radius 1.5 m. The ball travels Compeedof 8.6 ms.a) (i) Calculate the angle, in degrees, through which the string turns in0.40 s.(ii) Calculate the tension in the string. You may assume that the string is b)horizontalThe string will break when the tension exceeds 60 N. Calculate thenumber of revolutions that the ball makes in one second when the tension is60.N. c)Discuss the motion of the ball in terms of the forces that act on it. Inparticular, explain how Newton's laws of motion apply to its motion in a circle.

A car travels down a straight country road that leads over hills and through valleys. On one particular stretch of road, the car encounters a hill that can be approximated as the top of a circle with a radius h113 m. Later, the car comes to a dip with a radius of curvature rd 75 m. Assume that the car maintains a constant speed of v 25 m/s as it goes over the hill and through the dip The actual weight of the driver, as measured on a flat stretch of road, is 655 N. What is the apparent weight of the driver at the top of the hill? Number What is the apparent weight of the driver at the bottom of the dip? Number N 113 m = figure not to scale 4= 75 m

A car is traveling around a circular portion of road banked at an incline of 35 degrees to the horizonal. If the radius ofthe turn is 100 m and the coefficient of static friction is 0.60A) What is the minimum speed the car can take the turn without losing traction?B) At what speed would the static friction be zero?