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Unformatted text preview: yoon (jy4326) HW11 markert (58840) 1 This printout should have 7 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 3) 10.0 points A block of unknown mass is attached to a spring of spring constant 5 . 3 N / m and under goes simple harmonic motion with an ampli tude of 15 cm. When the mass is halfway between its equilibrium position and the end point, its speed is measured to be 20 . 8 cm / s. Calculate the mass of the block. Correct answer: 2 . 06725 kg. Explanation: Let : k = 5 . 3 N / m , A = 15 cm , and v = 20 . 8 cm / s . If the maximum displacement (amplitude) is A , the halfway displacement is A 2 . By energy conservation, K i + U i = F f + U f 0 + 1 2 k A 2 = 1 2 mv 2 + 1 2 k parenleftbigg A 2 parenrightbigg 2 k A 2 = mv 2 + 1 4 k A 2 m = 3 k A 2 4 v 2 = 3 (5 . 3 N / m) (0 . 15 m) 2 4 (0 . 208 m / s) 2 = 2 . 06725 kg ....
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This note was uploaded on 01/08/2010 for the course CH 53675 taught by Professor Bocknack during the Fall '09 term at University of Texas at Austin.
 Fall '09
 BOCKNACK
 Organic chemistry

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