february 2010 wdc aps/aapt 1 1 multiple representations of buoyancy jessica oliveira, meredith...
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![Page 1: February 2010 WDC APS/AAPT 1 1 Multiple Representations of Buoyancy Jessica Oliveira, Meredith Weglarz, & James Vesenka University of New England jvesenka@une.edu](https://reader031.vdocument.in/reader031/viewer/2022032310/56649d615503460f94a42c05/html5/thumbnails/1.jpg)
February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT 11
Multiple Representations
of Buoyancy
Multiple Representations
of BuoyancyJessica Oliveira, Meredith Weglarz, & James VesenkaUniversity of New England
UNH ColleaguesDawn MeredithJessica BolkerChris Schubert
Jessica Oliveira, Meredith Weglarz, & James VesenkaUniversity of New England
UNH ColleaguesDawn MeredithJessica BolkerChris Schubert
DUE 0737458
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 2Page 2
MotivationMotivation UNE: Modeling Approach
Student centered, guided inquiry labsLab first, discussion (class) secondDAILY online homework
Service to life science majorsOne month of fluidsBuoyancy, important concept for biology
Multiple representation activity?Continuum representation?Preconceptions -> assessment
UNE: Modeling ApproachStudent centered, guided inquiry labsLab first, discussion (class) secondDAILY online homework
Service to life science majorsOne month of fluidsBuoyancy, important concept for biology
Multiple representation activity?Continuum representation?Preconceptions -> assessment
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 3Page 3
Clicker ?Clicker ?
1 2 3 4
0% 30%20%50%
1. Up2. Down3. Sideways4. All of the above
1. Up2. Down3. Sideways4. All of the above
A can of soda is “immersed” in air. What direction(s) does the air “push” on the soda can, in total?
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 4Page 4
Clicker ?Clicker ?
1 2 3 4
75% 15%10%0%
1. Up2. Down3. Sideways4. All of the above
1. Up2. Down3. Sideways4. All of the above
The can is immersed in water. What direction(s) do the water molecules “push” on the can, in total?
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 5Page 5
Fg
The New LabThe New Lab
+z
+0.041 NFT
Fg
-0.039 N
FT
Fb
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 6Page 6
Experimental DataExperimental Data
Fg FT
Fb
Fg
FT Fb
F=Fb+Fg+FT=0FT=-Fg-Fb
FT = Fg - Fb
Slope = 1Intercept = -Fb
Fb = gV= 0.062N
Fg
Fb
Neutral Buoyancy
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 7Page 7
Modeling CycleModeling CycleStart/stop
Definitions
Operations
Decisions
Yes
ConsensusParadigm Lab
Pre-lab
Operational
Definitions
Multiple Representatio
ns
Graph, Math
Diagram, Verbal
Test-Works?No
Refine
Deployment
Exam
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 8Page 8
The Spherical FishThe Spherical Fish
QuickTime™ and aMPEG-4 Video decompressor
are needed to see this picture.
Vf ish
=m
w
−Vair
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 9Page 9
Spring 2009 Buoyancy
0
10
20
30
40
50
60
70
80
90
Graphical Mathematical Verbal Diagrammatic
Representation
Percent Correct
Pre
Post
Post/Pre Test AnalysisPost/Pre Test Analysis
Switched to symbolic math model
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 10Page 10
QuickTime™ and aH.264 decompressor
are needed to see this picture.
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 11Page 11
Force of water?Force of water? Molecular picture ("u"=under, "a"=above).
Molecular picture ("u"=under, "a"=above).
Fg
FwuFwu
Fwa
Fg
Fwu
Fwa
Fg
Fwu
Fwa
Fb
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 12Page 12
Clicker ?Clicker ?
1 2 3 4
70% 0%10%20%
1. Right2. Left3. No motion4. Clueless
1. Right2. Left3. No motion4. Clueless
Which way will the Helium balloon move when the box is first moved to the right? Why?
123
1
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 13Page 13
Volume of the fishVolume of the fish
At neutral buoyancy Fg = Fb
mg = mwg = wgV'
V'=V-Vwin
At neutral buoyancy Fg = Fb
mg = mwg = wgV'
V'=V-Vwin
€
V =m
w
−Vwin Fg
Fb
Vwin = 0.16mL -> 3.4 mL
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 14Page 14
Bonus: Hydrostatic P Bonus: Hydrostatic P
Lab just completed is hydrostatic pressure:
P = Pref +gz
P = gz Estimate depth at pressure in bottle
z = P/g ≈ 2m
Lab just completed is hydrostatic pressure:
P = Pref +gz
P = gz Estimate depth at pressure in bottle
z = P/g ≈ 2m
QuickTime™ and a decompressor
are needed to see this picture.
QuickTime™ and aMPEG-4 Video decompressor
are needed to see this picture.
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 15Page 15
Clicker ?Clicker ?
1 2 3 4
0% 0%0%0%
1. An ocean2. A lake3. A bathtub full4. A teaspoonful
1. An ocean2. A lake3. A bathtub full4. A teaspoonful
What is the smallest amount of water needed to float an ocean liner?
How big is this force?
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 16Page 16
Archimede’s PrincipleArchimede’s Principle Archimede: 287-212 BC Fb = weight of displaced water = mwg
How do we determine mass of water without a scale?
mw=wV -> Fb=wgV F = Fb+FT-Fg=0
Fb = Fg - FT
Archimede: 287-212 BC Fb = weight of displaced water = mwg
How do we determine mass of water without a scale?
mw=wV -> Fb=wgV F = Fb+FT-Fg=0
Fb = Fg - FTmass mass
water
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 17Page 17
Clicker ?Clicker ?
1 2 3 4
25% 25%25%25%
1. Higher2. Lower3. No difference4. Clueless
1. Higher2. Lower3. No difference4. Clueless
A hole is drilled in a piece of wood, will it float higher, lower or the same after the hole has been drilled?
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 18Page 18
Clicker ?Clicker ?
1 2 3 4
0% 0%0%0%
1. Rises2. Lowers3. No difference4. Clueless
1. Rises2. Lowers3. No difference4. Clueless
Merchant ships routinely dumped their ballast overboard before taking on cargo. In an enclosed lock, the water…
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February 2010 February 2010 WDC APS/AAPT WDC APS/AAPT Page 19Page 19
Clicker ?Clicker ?
1 2 3 4
0% 0%0%0%
1.
2.
3.
4.
1.
2.
3.
4.
Which way will they go? Two burning candles are suddenly spun in a circle (inside closed containers). The direction the FLAMES will point is…
Why?