Dynamics of Circular Motion 1. A car traveling at 75.0 km/h rounds a level curve of radius 82.0 m. What is the coefficient of friction between the tires and the road surface necessary to make this turn? SHOW ALL WORK Draw a free body diagram 2. On an icy day a car approaches a level curve with a radius of 72.3 m. If the coefficient of friction between the tires and the ice is 0.128, what is the maximum speed that the car should make the turn? SHOW ALL WORK B. The speed limit on the road is posted at 30 mph. Is it safe to make the curve at this posted speed limit with the icy conditions? Explain using evidence from your solution. Draw a free Body Diagram 3. Ajet pilot takes his aircraft in a vertical loop. ( See diagram below). Free Body Diagram Free Body Diagram Bottom Top A] If the jet is moving at a speed of 1300 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g's. B] Calculate the 78.0 kg pilot's effective weight ( the force with which the seat pushes up on the pilot) at the bottom of the circle. ( Draw a free body diagram at the bottom of the loop) C] Calculate the 78.0 kg pilot's effective weight at the top of the circle. ( Draw a free body diagram at the top of the circle) 4. A bucket of water with a combined mass of 2.00 kg is whirled in a vertical circle of radius 1.10 m. At the lowest point of its motion the tension in the rope supporting the bucket is 25.0 N. A. Find the speed of the bucket B. How fast must the bucket move at the top of the circle so that the rope does not go slack. 0\\ bucket of water Q\\ A ~\"string