Two wave sources, separatedby 6.00 cm, produce waves - in phase - described by y
ID: 1670218 • Letter: T
Question
Two wave sources, separatedby 6.00 cm, produce waves - in phase - described by y = 4sin(50x - 120t)m. (Assume that these are ripples on thesurface of a pond.)
A) What is the speed of thesewaves? (remember the expressions for kand )
B) What will be the resultantdisturbance (maximum? minimum? something in between?) at a point Pwhich is 50 cm from one source and 52 cm from the other?
C) Now consider a pointP, on the surface of the water, very near one of these sources. Suppose that a practically weightless cork floats at P. What would be its maximum displacement? What would beits maximum speed?
Explanation / Answer
d = 6.00 cm, y = 4 sin(50x - 120t) a) k = 50, = 120 k = 2/, = 2/T so speed v = /T = /k = 2.4 m/s = 2/k = 0.04 m = 4 cm b) x1 = 50 cm, x2 = 52 cm x = 2 cm = /2 so the resultant disturbanceis minimum. c) x1 = 0 cm, x2 = d = 6.00 cm x = 6 cm = 3/2 the displacement = 0, speed = 0
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