1. Several positions along the medium are labeled with a letter. Categorize each labeled position along the medium as being a position constructive interference occurs. where either or destructive

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Chapter1: Units, Trigonometry. And Vectors
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Please answer the first image with the given situation and consider the 2nd photo as an example of how to answer and give an explanation. Please sketch it digitally and encode. This is not a writing assignment 

1. Several positions along the
medium are labeled with a letter.
Categorize each labeled position
along the medium as being a
position
constructive
interference occurs.
where
either
or
destructive
G H i
K L M
N O
2. Twin water bugs Pong and Ping are
both creating a series of circular
waves by jiggling their legs in the
undergo
interference and create the pattern
represented in the diagram at the
right. The thick lines in the diagram
water.
The
waves
represent wave crests and the thin
lines represent wave troughs. Several
of positions in the water are labeled
with a letter. Categorize each labeled
position as being a position where
either constructive or destructive
PING
PONG
interference occurs.
3. Situation: For each of the individual waveforms a crest (maximum
displacement) is reached every 3m)
Leaf A produces a waveform with a displacement of 0.5m
Leaf B produces a waveform with a displacement of 0.8m
Questions:
1. Sketch the position vs. displacement graphs for each of the individual
waveforms generated by the rocks
2. What will be the maximum and the minimum displacements of the
resultant wave? Sketch the resultant wave.
Transcribed Image Text:1. Several positions along the medium are labeled with a letter. Categorize each labeled position along the medium as being a position constructive interference occurs. where either or destructive G H i K L M N O 2. Twin water bugs Pong and Ping are both creating a series of circular waves by jiggling their legs in the undergo interference and create the pattern represented in the diagram at the right. The thick lines in the diagram water. The waves represent wave crests and the thin lines represent wave troughs. Several of positions in the water are labeled with a letter. Categorize each labeled position as being a position where either constructive or destructive PING PONG interference occurs. 3. Situation: For each of the individual waveforms a crest (maximum displacement) is reached every 3m) Leaf A produces a waveform with a displacement of 0.5m Leaf B produces a waveform with a displacement of 0.8m Questions: 1. Sketch the position vs. displacement graphs for each of the individual waveforms generated by the rocks 2. What will be the maximum and the minimum displacements of the resultant wave? Sketch the resultant wave.
Consider these examples:
1. Three children each drop a rock in the water at a distance of 0.5m from one
another at the same time. When each of the rocks reach the water's surface
they generate their own individual waveform. After a period of time these
waveforms coincide with one another and produce an interference pattern.
2. Situation: For each of the individual waveforms a crest (maximum
displacement) is reached every 2m)
Rock A produces a waveform with a displacement of 0.2m
Rock B produces a waveform with a displacement of 0.4m
Rock C produces a waveform with a displacement of 0.6m
Sketch the position vs. displacement graphs for each of the individual
waveforms generated by the rocks.
Rock A: Since the displacement in 0.2m and a crest is reached every 2m the
position vs. displacement graph for the waveform of Rock A would look as
shown below:
O.6
6.4
O.2
-0.2
o.4
0.G
Rock B: Since the displacement in 0.4m and a crest is reached every 2m the
position vs. displacement graph for the waveform of Rock B would look as
shown below:
Rock C: Since the displacement in 0.6m and a crest is reached every 2m the
position vs. displacement graph for the waveform of Rock C would look as
shown below:
G.4
Resultant Wave Sketch: The position vs. displacement graph for the resultant
wave is determined by adding up the displacements of Rock A, Rock B and Rock
C at each position and then plotting them on the graph.
+.2
0.8
0.4
→x(m)
2.
-0.4
-0.8
-1.2
Based on the resultant wave's position vs. displacement graph it can be
determined that the maximum displacement is 1.2m and the minimum
displacement is -1.2m The maximum and minimum values can also be calculated
without the graph by adding together the maximum and minimum displacements
of each of the individual waveforms.
Ex. Maximum displacement (D) = 0.2 + 0.4 + 0.6 = 1.2
(w))
Transcribed Image Text:Consider these examples: 1. Three children each drop a rock in the water at a distance of 0.5m from one another at the same time. When each of the rocks reach the water's surface they generate their own individual waveform. After a period of time these waveforms coincide with one another and produce an interference pattern. 2. Situation: For each of the individual waveforms a crest (maximum displacement) is reached every 2m) Rock A produces a waveform with a displacement of 0.2m Rock B produces a waveform with a displacement of 0.4m Rock C produces a waveform with a displacement of 0.6m Sketch the position vs. displacement graphs for each of the individual waveforms generated by the rocks. Rock A: Since the displacement in 0.2m and a crest is reached every 2m the position vs. displacement graph for the waveform of Rock A would look as shown below: O.6 6.4 O.2 -0.2 o.4 0.G Rock B: Since the displacement in 0.4m and a crest is reached every 2m the position vs. displacement graph for the waveform of Rock B would look as shown below: Rock C: Since the displacement in 0.6m and a crest is reached every 2m the position vs. displacement graph for the waveform of Rock C would look as shown below: G.4 Resultant Wave Sketch: The position vs. displacement graph for the resultant wave is determined by adding up the displacements of Rock A, Rock B and Rock C at each position and then plotting them on the graph. +.2 0.8 0.4 →x(m) 2. -0.4 -0.8 -1.2 Based on the resultant wave's position vs. displacement graph it can be determined that the maximum displacement is 1.2m and the minimum displacement is -1.2m The maximum and minimum values can also be calculated without the graph by adding together the maximum and minimum displacements of each of the individual waveforms. Ex. Maximum displacement (D) = 0.2 + 0.4 + 0.6 = 1.2 (w))
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