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 9mass 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. wo RETAW TJAB03TARUTAS YJBT3JAMOO ODIAM WYKING COMbl mw Answer: Pw = PF %3D m2-m1

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Can you show how to solve number 2? The equations need to be dervived to show the given answer.

FB Theory
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.
Vmg
Buc Yaut force mass: MB / mass of obJet hot sabwmerged:Mob
Vis = VoLs Pob= Pf mob
MB
mob
Answer: Pob = Pf mg
%3D
%3D
O FB=PE Vs g/ Buoyaut force
P= Ý / density
MB
Mob
Pob
ote end Pe
nni ploold booY
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.
RATAW TJAB 03TARUTA2 YJBT3JAMOO AM
mw
Answer: Pw = PF
%3D
m2-m1
3Rer
6 Te
1sdsw fiardnande 2991geb TT juode rfiw l bos snisinos agis! s Jed
bo16tuis2 yhovo emopad bluon tihonstew erls ieed
9vloealb tisa edt 992 liv uoy bas anmie ylwola alirw tiez alcis
a ai inioq ainT 19nictnoo ard: to mortod sdt of alist tlee 2soxs 91edw tniog ers litm
anioq
lqmos
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 NaCI solution, and the object'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: PNacl = Pwater
mB,water
CS Scanned with CamScanner
Transcribed Image Text:FB Theory 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. Vmg Buc Yaut force mass: MB / mass of obJet hot sabwmerged:Mob Vis = VoLs Pob= Pf mob MB mob Answer: Pob = Pf mg %3D %3D O FB=PE Vs g/ Buoyaut force P= Ý / density MB Mob Pob ote end Pe nni ploold booY 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. RATAW TJAB 03TARUTA2 YJBT3JAMOO AM mw Answer: Pw = PF %3D m2-m1 3Rer 6 Te 1sdsw fiardnande 2991geb TT juode rfiw l bos snisinos agis! s Jed bo16tuis2 yhovo emopad bluon tihonstew erls ieed 9vloealb tisa edt 992 liv uoy bas anmie ylwola alirw tiez alcis a ai inioq ainT 19nictnoo ard: to mortod sdt of alist tlee 2soxs 91edw tniog ers litm anioq lqmos 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 NaCI solution, and the object'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: PNacl = Pwater mB,water CS Scanned with CamScanner
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