A car rounds a bend in the road that has a radius of 73 m. Rather than being banked inward (toward the centre of the curve), the road is banked outward, at an angle of 15°. The coefficient of static friction between the tires and the road is 0.76. a) Draw a FBD diagram of the car, as viewed from behind. Use a coordinate system that is horizontal/vertical (i.e., not rotated). b) Find the maximum speed that the car can go around the bend without sliding off the road.
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- A car goes around a curve on a road that is banked at an angle of 25.0°. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 20.0 m/s. с $ % Part A What is the radius of the curve? Express your answer using three significant figures. T = Submit 17 ΑΣΦ X Incorrect; Try Again; 4 attempts remaining Provide Feedback Search or type URL Previous Answers Request Answer MacBook Pro & * + ? mA 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.Practice problem with answer key: Answer: (a) 41.2 N, (b) 1.3 s A ball of mass m = 3 kg is attached to a vertical pole by two ropes and moves in a horizontal circle at a constant speed. The tension in the upper rope is 100 N. Each rope is 0.5 m long and makes an angle θ = 60◦ with the pole. (a)Find the tension in the lower rope. (b) Find the time it takes the ball to complete two revolutions.
- B The diagram shows the motion of a 250 g mass in circular motion on a horizontal plane. Images captured with a stroboscopic camera with a frequency of 12 Hz. The orbital speed of the mass was 3.5 m s. Two positions of the mass have been labelled. (a) What is the radius of the circle of motion? (b) What is the tension in the string connecting the mass to the centre?A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 9.00 m. At point A the speed of the car is 11.6 m/s, and at point B, the speed is 12.6 m/s. Assume the child is not holding on and does not wear a seat belt. B A 30° (a) What is the force (in N) of the car seat on the child at point A? (Enter the magnitude.) 205.6 ✓N (b) What is the force (in N) of the car seat on the child at point B? (Enter the magnitude.) XN 109.8 (c) What minimum speed (in m/s) is required to keep the child in his seat at point A? 9.40 m/sA car of mass m=920.0 kg is taking a turn of radius r= 38.4 m on a banked curve. If the car is moving at the critical speed v= 15.4 m/s, what is the incline angle of the curve, a? Your Answer: +Z Give your answer in degrees to one decimal place. Answer rear view of car on a bank α r
- cU3 - CIRCULAR MOTION AND ORBITS PROBLEM SET 3. A car of massm = 1300 kg traveling at 55.0 km/hour enters a banked turn covered with ice. The road is banked at an angle 0, and there is no friction between the road and the car's tires. Use g = - 9.80 m/s? throughout this problem. What is the radius r of the turn if e = 20.0° (assuming the car continues in uniform circular motion around the turn)?A car travels over a hill at at speed of 30 m/s. At this speed the car just maintains contact with the road. Determine the radius R of the hill. Use g = 10 m/s/s.
- how to do?M2 M, M, a = 40° The system of objects is on an inclined plane with a slope (a=40°); M1 = 5.0 Kg; M2 = 5.5 Kg; M, = 9.5 Kg coefficient of plane friction u= 0.5 perfectly smooth ideal pulley; g = 9.8 m/s?. Calculate the acceleration of the system and the tension in the ropes (T12) and (T23)? What are the dynamics of this system of objects? If M3 = 15 kg, calculate like the question above?PRINTER VERSION 4 ВАСК NEXT Chapter 11, Problem 026 Your answer is partially correct. Try again. At the instant of the figure, a 3.00 kg particle P has a position vector r of magnitude 4.10 m and angle 0, = 41.0° and a velocity vector v of magnitude 7.60 m/s and angle e, = 30.0°. Force F, of magnitude 2.10 N and angle 03 = 30.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? (a) Number Units kg-m^2/sv (b) Number UnitsTN-m Click if you would like to Show Work for this question: Open Show Work