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Unformatted text preview: Final Exam, May 13, 2009 NAME: Units must be included in final answers, where appropriate. You must show your work! Gravitational acceleration at Earth’s surface, g = 9.8 m/s 2 . Leave the gravitational constant, G , in symbolic form. Problem 1 On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to a maximum rotational speed of 1.4 rad/s. The seats are then allowed to coast at 1.4 rad/s for 42 seconds; after which they are brought to rest in another 7 seconds. a.) What is the tangential acceleration of the passengers during the first 21 s of the ride? b.) Make two sketches, one of the time dependence of the rotational velocity, and one of the time dependence of the tangential acceleration. Sketch from 070 seconds. (Be sure to label both axes on each plot.) Problem 2 4 m v=5 m/s 3 m A box of mass 30.0 kg slides down a ramp. It starts from rest and reaches a speed of 5 m/s at the bottom. In that time it moves down a vertical distance of 3.0 m and across a horizontal distance of 4.0 m. a.) Find the work done by the frictional force. b.) Find the magnitude of the force of friction between the ramp and the box. Problem 3 1 x y I II P 1 A particle is subjected to a force that depends on position as follows: ~ F = 2 y ˆ i + 5 ˆ j , where the force is measured in Newtons and the distance in meters. a.) Calculate the work done by this force as the particle moves from the origin to the point P at x = 1 . 0 m, y = 1 . 0 m along the straight path I as shown in the figure....
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This note was uploaded on 03/03/2010 for the course PHYS 123 taught by Professor Laurentmuehleisen during the Spring '08 term at Illinois Tech.
 Spring '08
 LaurentMuehleisen
 Acceleration, Work

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