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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: —
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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
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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
meterlong 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
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(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?
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 Fall '08
 Sharpe
 Physics

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