*29. GO A jet flying at 123 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 2.00 × 10° kg. Calculate the magnitude of the necessary lifting force.
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- A single bead can slide with negligible friction on a stiff wire that has been bent into a circular loop of radius 15.0 cm as shown in Figure P5.59. The circle is always in a vertical plane and rotates steadily about its vertical diameter with a period of 0.450 s. The position of the bead is described by the angle θ that the radial line, from the center of the loop to the bead, makes with the vertical. (a) At what angle up from the bottom of the circle can the bead stay motionless relative to the turning circle? (b) What If ? Repeat the problem, this time taking the period of the circle’s rotation as 0.850 s. (c) Describe how the solution to part (b) is different from the solution to part (a). (d) For any period or loop size, is there always an angle at which the bead can stand still relative to the loop? (e) Are there ever more than two angles? Arnold Arons suggested the idea for this problem. Figure P5.59A light string can support a stationary hanging load of 25.0 kg before breaking. An object of mass m = 3.00 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.800 m, and the other end of the string is held fixed as in Figure P5.17. What range of speeds can the object have before the string breaks? Figure P5.17A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the magnitude of the cars centripetal acceleration. (b) What is the magnitude of the force of static friction acting on the car? (See Section 7.4.)
- A motorist travels along a vertical circle with a diameter of 10.0 m. After one successful revolution, he notices that his speed at the bottom of the pathway is 6.50 m/s. The mass of the motorists is 70.0 kg. What apparent weight would he feel?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 police officer in hot pursuit drives her car through a circular turn of radius 300 m with a constant speed of 80.0 km/h. Her mass is 55.0 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider both horizontal and vertical forces.)
- A racetrack curve has radius 90.0 mm and is banked at an angle of 15.0 ∘∘. The coefficient of static friction between the tires and the roadway is 0.400. A race car with mass 1200 kg rounds the curve with the maximum speed to avoid skidding. What is the car's radial acceleration? The answer apparently is not 8.76 m/s^2A 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?Which of the following point towards the center of the circlein uniform circular motion?(a) Acceleration.(b) Velocity, acceleration, net force.(c) Velocity, acceleration.(d) Velocity, net force.(e) Acceleration, net force
- An aerobatic airplane flying at a constant 60.0 m/s makes a horizontal turn of radius 225 m. The pilot has mass 80.0 Kg. What is the pilot's apparent weight during the turn ?A 1.2 kg mass on the end of a string is routed in a vertical circle of radius 0.85 m. If the speed of the mass at the top of the circle is 3.6 m/s. What is the tension in the string at this location?A 700 kg car rounds a curve that is banked with an angle of 10 degrees from the horizontal and has a radius 50 meters. There is friction between the road and the tires and the maximum static frictional force is 3820 N. The normal force on the car while it goes around the curve is 7640 N. What maximum speed can the car take the turn without slipping a)24 m/s b)36 m/s c)18 m/s d)42 m/s