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62:15 ° SLLuTlCIV _ _.—.._ Grifﬁth Physics 132 Name (WWW? tlt‘qé/YU‘JT "inf each slat{on 1. (10 points) A block hangs at rest on a vertical spring at position y = 0. 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 undampedoscimm. (a) Make a sketch of the situation at t = 0 seconds. Include the +y axis and position of Jug—— the block.  /‘ "”
(b) Find the amplitude of the oscillation. Ty“ ’5 O, u 1.5 (c) What is the phase constant? N .. "
_/ (d) What is the maximum acceleration of the block? l V: Ah
K OL 01. (e) How much kinetic energy does the block have when y = 0? r ‘ l r I l t /, 4(1) How much kinetic energy does the block have when y = 1 cm2 A '5 Ch 0 5 3 “All 52"
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Grifﬁth Physics 132 Name 2. (5 points) The ﬁgure below shows the energy of a harmonic oscillator versus time.
The energy is decaying, starting from E = 0.7 Joules at t = 0 seconds. The mass of the oscillator is 2.8 kg. Energy Decay of a Damped Harmonic Oscillator Energy in Joules
.0 .0 .0
b 01 O) .0
w .0
m 0.1 o 5 1o 15 20 25 30'
Time in seconds (a) What is the time constant for this oscillator? Your answer must be within 5% of the
true answer to receive credit. If you use a point or portion of the curve to justify your
answer, circle that part of the graph, or clearly draw an arrow to that part of the plot. Charge ; EC 6’ 13/13 O>£i a ,. “l.” ‘ W
Li) (b) What is the damping constant of the oscillator? 0C .: '_ S
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3. (5 points) A 2.0 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 6.5 cm apart, along the
direction that the wave is traveling? V$§ki3 ’F a=i:3._,—L*07S  9’
f 2000 PH: AX" (a) pt; mm (*7 M = kw l< 3 21' z :21—
a. K: vqﬂ‘ _. 4) (5 points) The following is a snapshot graph 'of a wave pulse on a string at time t =
1.0 second. The speed of the pulse is 1 m/s and it is moving to the right. On the axes below, plot a history graph representing the displacement at [email protected]¥ along the
string. Label the axes and include a scale and units. If necessary, add or modify the axes to show the wave pulse. D (cm) 0 but {55/ Farm Natal; Q
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 Fall '08
 Sharpe
 Physics

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