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- A 30.O-g ball at the end of a stung is swung in a vertical circle with a radius of 25.0 m. The rotational velocity Is 200.0 cm/s. Find the tension in the string: (a) at the top of the circle, (b) at the bottom of the circle, and (c) at a distance of 12.5 cm from the center of the circle (r=12.5cm).A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars racein circles that are parallel to the ground. For a speed of 34.0 m/s, at what value of the distance d shoulda driver locate his car if he wishes to stay on a circular path without depending on friction? Include anFBD of the car along with the components of the relevant forceA ball having a mass of 2.27 kg is swinging at the end of a cord in a vertical circle of radius 0.6 m at 2 rev/s. What is the tension in the cord when the ball is a. at the level of the center? b. At the bottom of the vertical circle?
- 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?In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 284 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?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
- A race car travels 76 m/s around a circulartrack of radius 159 m What is the magnitude of the resultantforce on the 1600 kg driver and his car ifthe car does not slip?Answer in units of kN.One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When ? = 17.0°, the speed of the object is 6.00 m/s. At this instant, find the magnitude of the tension in the string.Hungarian Adrian Annus won the gold medal for thehammer throw at the 2004 Olympics in Athens with a winningdistance of 83.19 meters.* The event consists of swinging a16-pound weight attached to a wire 190 centimeters long ina circle and then releasing it. Assuming his release is at a 45°angle to the ground, the hammer will travel a distance ofv02/gmeters, where g = 9.8 meters/second2and v0 is the linearspeed of the hammer when released. At what rate (rpm) washe swinging the hammer upon release?
- In addition to the remarkable top speed, cheetahs have impressive cornering abilities. In one study, the sideways force on the feet of a 50 kg cheetah, with its claws dug into the ground, was found to be 960 N. What was the radius of the turn if the cheetah was running at 20 m/s?a vehicle with a mass of 2.5x10^3 kg is driving at a speed of 56 km/h around a level roadway with a curvature radius of 60 meters, just staying on the roadway (i.s., driving at the maximum safe speed for this turn and the tire treads). what is the coefficient of friction between the tires and the road?One end of a cord is fixed and asmall 0.500-kg object is attached to theother end, where it swings in a section of avertical circle of radius 2.00 m, as shown inFigure P7.19. When θ = 20.0°, the speed ofthe object is 8.00 m/s. At this instant, find(a) the tension in the string, (b) the tangentialand radial components of acceleration,and (c) the total acceleration. (d) Isyour answer changed if the object is swinging down towardits lowest point instead of swinging up? (e) Explain youranswer to part (d).