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Unformatted text preview: yoon (jy4326) HW11 markert (58840) 1 This print-out should have 7 questions. Multiple-choice 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.

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solution_11pdf - yoon (jy4326) HW11 markert (58840) 1 This...

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