A cat dozes on a stationary merry-go-round, at a radius of 4.1 m from the center of the ride. The operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.5 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding? Number i Units <>>
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- Check Your Understanding A car moving at 96.8 km/h travels around a circular curve of radius 182.9 m on a flat county road. What must be the minimum coefficient of static friction to keep the car from slipping?Check Your Understanding A centrifuge used in DNA extraction spins at a maximum rate of 7000 rpm, producing a “g-force on the sample that is 6000 times the force of gravity. If the centrifuge takes 10 seconds to come to rest from the maximum spin rate: (a) What Is the angular acceleration of the centrifuge? (b) What is the angular displacement of the centrifuge during this time?If centripetal force is directed toward the center, why do you feel that you are ‘thrown’ away from the center as a car goes around a curve? Explain.
- The maximum static coefficient of friction between the tires of a 2000 kg car and the road is lsmax 0.25. What is the maximum speed with which the car can make a turn of radius 50 m without skidding?A 1750 kg car rounds a curve on a flat road of radius 65.0 m. If coefficient of static friction is 0.62what is the maximum velocity with which the car can follow the curved road without skidding?A car is driving on circular test track of radius 900 m at a constant tranlational speed. The friction foce between the tire and the track provides the centripetal force to keep the car in the corcular motion. If the lap time of the car is 58 s and the mass of the car is 1200 kg. fond the magnitude of the frictional force between the tire and the track in the unit N.
- A discus thrower is spinning in a circle of radius 1.6m. Themaximum force her arm can exert is 2200N. How long will it take forher to complete one spin? The mass of the discus is 1.75kg. During a freak snow storm a banked curve (18°) with a radius of85m is covered with frictionless ice. A car approaches this curve ata speed of 19m/s. Will the car stay in the curve, fall into the curveor slide out of the curve. Show the math of your answer. need help with homework plsA fullback is running a sweep around the left side of the line. As he rounds the turn, he is momentarily moving in circular motion, sweeping out a quarter-circle with a radius of 4.17 meters. If the 83.5-kg fullback makes the turn with a speed of 5.21 m/s, then what is his acceleration, the net force, the angle of lean (measured to the vertical), and the total contact force with the ground? PSYW a = ____________ Fnet = ____________ Fgrav = ____________ Fnorm = ____________ Ffrict = ____________ Fcontact = ____________ Angle of Lean = ____________A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s (a) What force causes the centripetal acceleration when the coin is stationary relative to the turnable? (b) What is the coefficient of static friction between coin and turntable?
- A 54.0-kg ice skater is moving at 3.99 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.900 m around the pole. (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. kN (b) Compare this force with her weight. Frope W Need Help? Read ItA car is driving around a banked curve, with the road surface at an angle of 10.0º. If the radius ofcurvature of the road is 30.0 m and the coefficient of static friction between the tires of the carand the road is 0.65, what is the maximum speed (in km/hr) the car can go without skidding?(a) Calculate the centripetal force exerted on a 900.0-kg car that negotiates a 500.0-m radius curve at 25.00 m/s. (b) Assuming àn unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping.