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Exam1sec1

# Exam1sec1 - e" 5ec/h'0n'3 l‘vl 1 ‘'l I Grifﬁth...

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Unformatted text preview: e" 5ec/h'0n'3 l‘vl 1 . ‘ 'l I Grifﬁth “— ‘ .I Ph sics 132‘ Name 50 LU T1 C N (numbgt'fw citqﬁ'iﬂl ﬁn” ear;le Seal—l on 1. (10 points) A block hangs at rest on a vertical spring at position y = O. The block has mass 25 grams and the spring constant is 3 N/m. The spring is massless. Praveet pulls the mass down below equilibrium, so that it is at y = - 3.5 cm, then lets go. His lab partner, Asif, starts the stopwatch (ie sets t = 0) when the mass is at y = - 1.0 cm and moving up. Assume that the mass is an undﬁpedoallator. (a) Make a sketch of the situation at t = 0 seconds. Include the +y axis and position of [ray—— the block. . I.” (b) Find the amplitude of the oscillation. in = O . D 15 k a, (c) What is the phase constant? N .. (d) What is the maximum acceleration of the block? l l< 1: g /m. r,— R_. ,\'\—_T\ CC; Co.\3ft1n+/ gig: — .o- T \ 7(tit5ﬁﬂw; (yw‘€+{4> x xv _ | I » .r— --’7 ' 0: Y” " CM“ ‘- v ,blm ’ (Cotbgi§ W {246 «L‘Eblm , - - ’Z I‘ ' I .— \ — c.2189? ‘ 0m 14; Cut t 0/ 7 5 ___ . _ n q‘hnve, IJUL‘i’ ‘_ we _r i and "9 a3 a“, madam? 36.10 _ \ o.’ j‘htf‘u). . i ._ t . . _ Jug, (e) How much k1net1c energy does the block have when y — 0? lo) 6W7: 4 C) 1,. £1) How much kinetic energy does the block have when y = -1 cm? A ‘: 0' 0 5 5 m. Y x . ‘- r. 0 Lt: = ‘ [gm I I I I“ Q J to) C ‘ Vmaya3l/«JA ’— L/logii;3_ t: :ﬂ“;/I/dl o .H- p .‘ Vl. \\ Vina; ‘J—@ ’3 Ina/5 __ ’(0. 535% 9%» Law.» ‘ I I \ ganjfﬁgm Grifﬁth 5“; W 2’ Physics132 Name Swallow 2. (10 points) To send a signal to her sister in a tree fort, Sally oscillates the end of a 20- meter-long rope. The tension of the rope is 5.0 N and its mass is 1.5 kg. Assume that the wave has not yet reached the other end of the rope. A snapshot graph (displacement versus time) of the string at t = 0 is shown below. A : 5W 09111'on ’ T- C}_O§rn 1.4 . I m Z 0,?) :'V\ i w _______l - , 0 (a) What is the wavelength of the wave? "l 9" f * l' (b) What is the frequency at which she is oscillating the rope? (c) Sally's sister is in the +x direction. The end of the rope that Sally is holding (x = 0) has displacement D = 2.5 cm at t = 0 (as shown above). Write an equation that describes the displacement of the rope as a function of x and t. The equation should use numbers . and units, but have no unknowns. (You will need to calculate the phase constant and (9- include it in this equation.) I 19-”? (d) Estimate the displacementof the string at _~= 0.55 seconds and x = 0.25 m. 7‘5 ' 5, (e) Draw a history graph (D vs t) at x @2391: ully label the plot (axes, units, values). f” r“ z #16 " ﬁ131§.f_9?_5_%j/“ Name 90 Grifﬁth Physics 132 3. (5 points) A 2.5 kHz sound wave travels in air, with speed 340 m/s. (a) What is the wavelength of the sound? (b) What is the phase difference between two points that are 7.0 cm apart, along the direction that the wave is traveling? “g :— 25: .9 K H IE 15': 2600 Hz: a 1 3” C "“‘/_s 3;; : x l 1g 2‘500Ht PM? {Diff-M); ’. 4’ 7L : 7L6??? I . I A» “ " i m tea < >0 :1 {Le Eva. (a'0?'“ 3 '5 i\ II t l \\ '3 :03 ' N \N I 3% ' E? f\ 7(— ‘u \l 4: .G‘ y; mi \ ...
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