Question

Written Problem 14 Page 1 Show all work clearly and neatly. Beginning with this problem, you must use the Problem Solving Guidelines handout. An 825 g block oscillates with a frequency of 3.49 Hz and constant total mechanical energy of 1.98 J. Other than the graphs requested, you do not need any other diagram. (a) Sketch quantitatively accurate velocity versus time and kinetic energy versus time graphs. (6) Sketch quantitatively accurate position versus time and spring potential energy versus time graphs.

Answer 1

mersel bleck freguency f3 49 Hz 0-BRSK Aipasl 27C- 27(3-49) w91:92 Tterad Ser Total mechanical 81-36J Inergy But, EImu A 38 2 A-I9l x2 O825 X(2192) 2 O.0099898 m 2 A9.99x10 comlelitude adeilahon Time peasd, 7 CR8654 f Max Kinetie Gmergyis at eili bi un= to tal mechoni al amerzy = 1.96 J KEPO awd at cxtremeties Velocty is max" at men peihon, Vne AU Vmax- 939xIo X 21.92 m lse2.19m/5 2

velacty(m/s -2.19 os81- m/s + 2.19 (X10) timepos) -3 3 58-1 143.26 71-6 214.9 3T/4 -2.19 T: 0.28654 286-5mp oswt 1-98 ost Joules A KE=LMU 1. KE I38 esA) KEIJaules) 358. tms) 43-26 214-9 7126 286.5 Anus poritien vtime given by eguadian XA Binwt = 9.99 Cmx 1Ocm ginwt Sinwt

AX(em +10 286.5 143-26 timelm s) 358.1 Ael pring pelentil Energy is gieen PE-LKX kut k=mu mu A- 198J 2- PE=LmAint PE= 1.98 Sin (a92Joules APELTBudes) 4-38 time 214-9 2865 43-26