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Mathematics 15 Online
OpenStudy (zeesbrat3):

A girl is floating in a freshwater lake with her head just above the water. If she weighs 610 N, what is the volume in cubic meters of the submerged part of her body?

OpenStudy (amistre64):

how much water weighs 610 newtons?

OpenStudy (zeesbrat3):

I do not understand your question?

OpenStudy (amistre64):

water has a defined weight, if we know how much it weighs per unit of volume, then we can calculate the volume by the weight of the person

OpenStudy (amistre64):

how much water does it take to weigh 610 newtons?

OpenStudy (amistre64):

what is the density of water?

OpenStudy (amistre64):

i weigh about 250 lbs when im floating in water, the amount of water that has been dispalced ... weighs 250 lbs.

OpenStudy (zeesbrat3):

it does not say. according to archimedes principle, any object completely or partially submerged in a fluid experiences an upward buoyant force equal to the magnitude of the weight of the displaced fluid. That is all I have

OpenStudy (amistre64):

your course material has already defined the density of water ... its going to have to be a "known" value. If you havent memorized it yet, you might want to look it up.

OpenStudy (zeesbrat3):

Okay, can you give me a minute please? Im sure it is somewhere in the textbook

OpenStudy (amistre64):

google might be quicker but yeah ill weight

OpenStudy (zeesbrat3):

999.97 kg/m³

OpenStudy (zeesbrat3):

999.97 kg/m^3

OpenStudy (amistre64):

and refresh my memory, what is the Newton?

OpenStudy (zeesbrat3):

unit describing force.

OpenStudy (amistre64):

i mean its equal to some kgm/s^2 or something like that ..

OpenStudy (amistre64):

ok V * 999.97 kg/m^2 = 610 kgm/s^2 solve for V

OpenStudy (zeesbrat3):

is gravity a component?

OpenStudy (amistre64):

it is when we weigh things, which is why Newtons has s^2 under it ... acceleration unit i believe

OpenStudy (zeesbrat3):

so v x 999.97 x 9.81 = 610?

OpenStudy (amistre64):

hmm, that might be prudent

OpenStudy (zeesbrat3):

isnt physics fun..

OpenStudy (amistre64):

lol, it can be at times

OpenStudy (amistre64):

i was wondering what to do with the s^2 in N :) gravity eats it for us

OpenStudy (zeesbrat3):

I mean if it is v x 999.97 x 9.81 = 610 then v = .0621

OpenStudy (amistre64):

m^3 yes

OpenStudy (amistre64):

assuming we aint got to do cm^3 that should do it

OpenStudy (zeesbrat3):

thank you

OpenStudy (amistre64):

yep

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