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i Chrome File Edit View History Bookmarks People Window Help 97% us. Mon 10:49 PM Ahmad Secure l https://edugenwileyplus.com/edugen/student/mainfr.uni Apps WileyPLUSDifferential calculus. University of South D Apple iCloud Yahoo Bing W wikipedia R Facebook y Twitter LinkedIn The Weather Channel Yelp > Other Bookmarks WileyPLUS Halliday, Fundamentals of Physics, 10e Calculus-based Physics 1 & (PH 201-202) Home Read, Study&Practice; Gradebook ORION Downloadable eTextbook Assignment> Open Assignment FULL SCREtN PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Chapter 15, Problem 030 201-12 014 An oscillating block-spring system has a mechanical energy of 0.508 J, an amplitude of 12.7 cm, and a maximum speed of 4.34 m/s. Find (a) the spring constant, (b) the mass of the block and (c) the frequency of oscillation. (a) Number (b) Number (c) Number hapter Units Units 036 Units 042 Review Score Review Results by Study LINK TO TEXT LINK TO SAMPLE PROBLEM Question Attempts: 0 of 6 used SAVE FOR LATER SUBMIT ANSWER ghts Reserved. A Division of John Wileyasons. Inc. Version 4.24.2.4 httos:/ledugen.wleyplus.com/edugen/shared/assignment/testfagistuni?id-asnmt209734 30Explanation / Answer
a)
A = amplitude = 12.7 cm = 0.127 m
k = spring constant
E = mechanical energy = 0.508 J
using the equation
E = (0.5) k A2
0.508 = (0.5) k (0.127)2
k = 63 N/m
b)
m = mass of block
v = 4.34 m/s
mechanical energy = maximum kinetic energy = (0.5) m v2
0.508 = (0.5) m (4.34)2
m = 0.054 kg
c)
f = (1/(2pi))sqrt(k/m)
f = (1/6.28) sqrt(63/0.054) = 5.44 Hz
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