2. Derive an equation for determining the density of a floating/wooden object using Archimedes' Principal without knowing the volume of the object(s). Your answer should be in terms of the mass of the wood un-submerged, the density of water, Reading 1 or m1, and reading 2 or m2 from the procedure above. Include a free body diagram.

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Chapter4: Physics Of Matter
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Can you show a Free body diagram for number 2?

FB Theory
atew erll oini pnite er newo T
1. In the space below, state Archimedes' Principle and define density, then show mathematically
how you can measure the density of an object WITHOUT knowing its volume. Your answer
should be in terms of measured quantities mentioned in the procedure the buoyant force mass
mB in a fluid, the mass of the object mob,not submerged, as well as the density of fluid the
mass was submerged into. Specifically what is the electronic scale measuring in step 4
above? Be sure to draw a free-body diagram of the system explaining your answer.
mg
Buc Yaut force mass: MB /mass of cbJect hot sabmerged:Mob
mob
Answer: Pob= Pf mB
Vas = VoLo Pob= Pf mob
MB
%3D
%3D
O F8 PE Vs 9/Buoyaut force
MB
Mob
%3D
Pob
density
ood sooorPo
ort brooer
2. Derive an equation for determining the density of a floating/wooden object using Archimedes'
Principal without knowing the volume of the object(s). Your answer should be in terms of the
mass of the wood un-submerged, the density of water, Reading 1 or m1, and reading 2 or m2
from the procedure above. Include a free body diagram.
P= m
E W.CETARUTAA YJBT319MOD OMDIAM
V=
mw
Answer: Pw = Pf
m2-m1
hetsw tenendagsb uode riiw lh bas 19nietnoo egist s jea
Whavo omoad bluon ti
M2 -m,
Vw= VF
6. Te
mw
%3)
z ylwel sP PE
vloca
sd zi inlog aid T
mattod
M2-m,
Pw
3. Finally, derive an equation using Archimedes' Principal showing how the density of a liquid
can be measured. Your expression should be in terms of the density of water, the object's
buoyant force mass in NaCl solution, and the objecť's buoyant force mass in water (i.e. in
terms of the quantities in Table 1). No free-body diagram is needed.
mB NaCl
Answer: PNacı = Pwater
%3D
mB,water
CS Scanned with CamScanner
Transcribed Image Text:FB Theory atew erll oini pnite er newo T 1. In the space below, state Archimedes' Principle and define density, then show mathematically how you can measure the density of an object WITHOUT knowing its volume. Your answer should be in terms of measured quantities mentioned in the procedure the buoyant force mass mB in a fluid, the mass of the object mob,not submerged, as well as the density of fluid the mass was submerged into. Specifically what is the electronic scale measuring in step 4 above? Be sure to draw a free-body diagram of the system explaining your answer. mg Buc Yaut force mass: MB /mass of cbJect hot sabmerged:Mob mob Answer: Pob= Pf mB Vas = VoLo Pob= Pf mob MB %3D %3D O F8 PE Vs 9/Buoyaut force MB Mob %3D Pob density ood sooorPo ort brooer 2. Derive an equation for determining the density of a floating/wooden object using Archimedes' Principal without knowing the volume of the object(s). Your answer should be in terms of the mass of the wood un-submerged, the density of water, Reading 1 or m1, and reading 2 or m2 from the procedure above. Include a free body diagram. P= m E W.CETARUTAA YJBT319MOD OMDIAM V= mw Answer: Pw = Pf m2-m1 hetsw tenendagsb uode riiw lh bas 19nietnoo egist s jea Whavo omoad bluon ti M2 -m, Vw= VF 6. Te mw %3) z ylwel sP PE vloca sd zi inlog aid T mattod M2-m, Pw 3. Finally, derive an equation using Archimedes' Principal showing how the density of a liquid can be measured. Your expression should be in terms of the density of water, the object's buoyant force mass in NaCl solution, and the objecť's buoyant force mass in water (i.e. in terms of the quantities in Table 1). No free-body diagram is needed. mB NaCl Answer: PNacı = Pwater %3D mB,water CS Scanned with CamScanner
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