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 3 years ago
A cork of density 0.15 g/cm^3 floats in a bucket of water with 10 cm^3 of its volume above the surface of water.Find the mass of the cork.
 3 years ago
A cork of density 0.15 g/cm^3 floats in a bucket of water with 10 cm^3 of its volume above the surface of water.Find the mass of the cork.

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Gab02282
 3 years ago
Best ResponseYou've already chosen the best response.0\[d=\frac{m}{V}\] Therefore, \[m=dV\] Hope this helps, somehow. I'm unsure.

Tomas.A
 3 years ago
Best ResponseYou've already chosen the best response.1i think you need to use Archimedus law or something

Tomas.A
 3 years ago
Best ResponseYou've already chosen the best response.1also \[F_a>mg\] if that matters lol

King
 3 years ago
Best ResponseYou've already chosen the best response.0i know but then i am stuck at hw to find the missin volume..............

sachin_vishaul
 3 years ago
Best ResponseYou've already chosen the best response.0u hv the same problem?

Aadarsh
 3 years ago
Best ResponseYou've already chosen the best response.0I think you have to use Archimedes Principle and Density Mass relationship. Still I am not getting the equation.

Aadarsh
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry, i was saying whether we can use density = mass/volume?

Aadarsh
 3 years ago
Best ResponseYou've already chosen the best response.0Then it is simple. Mass= volume X density, so Mass= 10 * 0.15= 1.5 gm (Still u check the answer)

King
 3 years ago
Best ResponseYou've already chosen the best response.0AADARSH!did u see my diagram and read the question again ....

Aadarsh
 3 years ago
Best ResponseYou've already chosen the best response.0Saw it, but confused about the equation

Aadarsh
 3 years ago
Best ResponseYou've already chosen the best response.0I will consult and say u tomorrow

nikvist
 3 years ago
Best ResponseYou've already chosen the best response.3\[\rho=0.15\,g/cm^3\quad,\quad \rho_w=1\,g/cm^3\quad,\quad V\uparrow=10\,cm^3\]\[\rho Vg=\rho_w V\downarrow g\quad\Rightarrow\quad \frac{V}{V\downarrow}=\frac{V\uparrow+V\downarrow}{V\downarrow}=\frac{V\uparrow}{V\downarrow}+1=\frac{\rho_w}{\rho}\]\[V\downarrow=\frac{\rho}{\rho_w\rho}V\uparrow\]\[m=\rho(V\uparrow+V\downarrow)=\rho\left(1+\frac{\rho}{\rho_w\rho}\right)V\uparrow=\frac{\rho\rho_w}{\rho_w\rho}V\uparrow\]\[m=\frac{0.15}{0.85}\cdot 10\,g=1.765\,g\]

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0nikvist, this a good answer. I understand your notation. But perhaps for the others could you explain in words what you've done here? Thanks.

salini
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1326987424332:dwFor practical purposes water is incompressible so the submerged part would displace an amount of water equal to its own volume. so same mass that is what nikivist has done ...equate the mass of cork as a whole to mass of water displaced then manipulations gives us everything written in terms of density which we know(data in the question)

King
 3 years ago
Best ResponseYou've already chosen the best response.0nikvist could u explain ure answer in words or JamesJ could u do it fr him?

salini
 3 years ago
Best ResponseYou've already chosen the best response.2hmmm..... that is wat i did.............

Aadarsh
 3 years ago
Best ResponseYou've already chosen the best response.0Please explain in simple words. Are we to use that Density formula or not?

salini
 3 years ago
Best ResponseYou've already chosen the best response.2I WILL TELL EVERYTHING FROM FIRST by archimedes principle, the wt of cork=wt of water displaced(buoyant force) this is because the body is floating upward forces=downward then wt of cork=volume*density*g wt of water displaced=volume(V)*density oif water*g write volume of cork as volume of upper immersed portion+vol of downward immersed portion(V) REMEMBER IT IS V that we need to calculate do it in simple terms after this dw:1327073074048:dw

salini
 3 years ago
Best ResponseYou've already chosen the best response.2knowingV it is easy to calculate the mass of that part of cork+mass of upper part of cork...........got it adarsh?

salini
 3 years ago
Best ResponseYou've already chosen the best response.2u need to know here that by archimedes principle,buoyant force=wt of water displaced in this case as the cork is floating the wt mg equals the buoyant force so to to keep the cork at rest

salini
 3 years ago
Best ResponseYou've already chosen the best response.2adarsh see this link for better understabding http://ocw.mit.edu/courses/physics/801physicsiclassicalmechanicsfall1999/videolectures/lecture28/

unicorn
 3 years ago
Best ResponseYou've already chosen the best response.0here is yours ans attachment below hope it will help you
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