Resnick/ Buggé: Circular Motion 2 v 2.1: A battery-powered toy car moves at constant speed across the top of a circular hump, as shown in the illustration to the right. Indicate the direction of the acceleration of the car at the top of the hump. Draw a force diagram for the car when passing across the top of the hump. Make the force arrows the correct relative lengths. Write in words if the results of the first two cells of this table are consistent with Newton’s second law. 2.2: Fill in the table that follows with the necessary information. Rollercoaster situation; circle the system. (a) The roller coaster car glides at constant speed along a frictionless, level track. Indicate the direction Draw a force a of . diagram (b) The roller coaster car moves along a frictionless circular dip in the track. To (c) The roller coaster car moves inverted past the top of a frictionless loop-theloop. x Apply ∑Fradial = m v2/r. Resnick/ Buggé: Circular Motion 2 2.3: The Seattle Phantom Park Ferris wheel is about 10 m in radius and takes 15 s to complete one rotation. Brigit (60-kg) sits in one of the seats. Determine the magnitude of the normal force of the seat on Brigit at the top and bottom of the ride. 2.4: Suppose the loop in the figure has a 16-m diameter. How fast must the roller coaster car move across the top of the loop so that the force that the seats exert on its riders is half the force that the Earth exerts on them? 2.5: The third turn at the Alamo Cart Dirt Speedway is tilted at 300 and has a 240-m radius. Determine the speed of a Cart Car going around that turn, assuming the car has no help from friction.
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