Problem 6: A car with mass m = 1000 kg is traveling around a circular curve of radius r = 840 m when it begins to rain. The coefficients of static friction between the road and tires is ug = 0.63 when dry and uw = 0.29 when wet.
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- A load of 52 kg is placed on the flatbed of a truck going around a section of flat road corresponding to a circular arc with a radius of 80 m. If the coefficient of static friction between the load and the truck's flatbed is 0.355, what is the maximum speed the truck can have so the load won't slide? a) 28.0 m/s b) 5.33 m/s c) 16.7 m/s d) 22.6 m/s e) 279 m/sA small object with mass of 0.5kg is attached to the lower end of a long string and moves in a horizontal circle of radius 0.7 m with a constant speed of 3 m/s. What angle does the string make with the vertical?A baseball with m=0.57kg is spun vertically on a string with length L=0.73m. The string can support tension of T_max= 10.9 N before it breaks. What is the max possible speed at the top of the circle, and the max possible speed at the bottom, in m/s^2?
- A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.600. a. What is the maximum safe speed that a car can travel around the curve without skidding? answer in m/s b. Which of the following is the correct free-body diagram of the car when it enters the curve at a speed greater than the maximum safe speed? (OPTIONS ATTACHED) c. When the car enters the curve at a speed greater than the maximum safe speed (speed at which the car won’t skid), which of the following statements are correct? The static frictional force is not large enough to keep the car in a circular path. The car skids toward the outside of the curve. The car skids toward the inside of the curve. The static frictional force is large enough to keep the car in a circular path.Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at the recommended speed does not have to rely on friction between its tires and the road in order to round the curve. Suppose the radius of curvature of a road segment is 55 m, and the recommended speed is 45 km/hr. At what angle should the curve be banked?A 2000 kg car rounds a circular turn of radius 24 m. If the road is flat and the coefficient of friction between tires and road is 0.61, how fast can the car go without skidding? (Answer in m/s)
- A velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car can traverse the curve without slipping?A F-35 stealth fighter jet traveling at a constant speed of 1.20 x 102 m/s executes a vertical loop with a radius of 5.00 x 10²m. If the mass of the pilot is 70.0 kg, the magnitude of the force exerted on the pilot by the seat at the bottom of the loop is
- A small block with mass 0.0400 kg slides in a vertical circle of radius R = 0.500 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the normal force exerted on the block by the track has magnitude 3.95 N. In this same revolution, when the block reaches the top of its path, point B, the normal force exerted on the block has magnitude 0.680 N. How much work is done on the block by friction during the motion of the block from point A to point B?A 4.0 kg car is traveling around a vertical loop with a radius of 2 m. What is the normal force from the surface of the track when the car is at its highest point if it is moving with a speed of 5 m/s? A.40 N B.90 N C.50 N D.10 NShawn White rides his snowboard over a hilltop that has a radius of curvature 80 m at the top of the hill. With what minimum speed will Shawn and his snowboard lose contact with the snow when he is at the top of the hill? A) 22.2 m/s B) 41.8 m/s C) 34.3 m/s D) 28.0 m/s E) 14.5 m/s