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Physics 19 Online
OpenStudy (plasmataco):

Haaalp. If a block of plastic is 0.6 as dense as water and weighs 100kg, what additional force will it take to poke it so that it is barely submerged

OpenStudy (plasmataco):

@ganeshie8 @Vincent-Lyon.Fr @Farcher

OpenStudy (plasmataco):

I can't figure out the equation

OpenStudy (vincent-lyon.fr):

Overall mass must be that of the displaced water, that is the mass of the amount of water having the same volume as the block.

OpenStudy (vincent-lyon.fr):

Think in terms of equilibrium

OpenStudy (plasmataco):

60kg

OpenStudy (plasmataco):

i think

OpenStudy (plasmataco):

cause it displaces the amount of weight of the submerged part

OpenStudy (vincent-lyon.fr):

What is the volume of the block?

OpenStudy (plasmataco):

... dunno

OpenStudy (plasmataco):

it just gives me the weight

OpenStudy (vincent-lyon.fr):

You are given mass and density of the block. Working out the volume is easy.

OpenStudy (plasmataco):

waaaait

OpenStudy (plasmataco):

demsity=mass/volume

OpenStudy (plasmataco):

so 0.6=100/x

OpenStudy (plasmataco):

so 166.666 repeating

OpenStudy (plasmataco):

i hope

OpenStudy (vincent-lyon.fr):

Yep. What is the mass of that volume of water?

OpenStudy (plasmataco):

166.66?

OpenStudy (plasmataco):

cause 1.667*0.6 is 100

OpenStudy (vincent-lyon.fr):

Yep, but please add units for volume and mass.

OpenStudy (plasmataco):

166.666 meters?

OpenStudy (vincent-lyon.fr):

metre is a unit of length, neither volume nor mass

OpenStudy (plasmataco):

meter cubed

OpenStudy (plasmataco):

and 100 kg

OpenStudy (vincent-lyon.fr):

No, it's liters here, or dm\(^3\) For water (density 1) : 1 kg has a volume of 1 liter

OpenStudy (plasmataco):

oh

OpenStudy (plasmataco):

so 166.66 liters

OpenStudy (vincent-lyon.fr):

Yes! Now, what is the corresponding mass of water?

OpenStudy (plasmataco):

whut do you mean

OpenStudy (vincent-lyon.fr):

I mean What is the mass of water displaced by the block?

OpenStudy (plasmataco):

100 kg

OpenStudy (vincent-lyon.fr):

?? The question states that the block is submerged in water.

OpenStudy (plasmataco):

cause of the principle of floatation

OpenStudy (vincent-lyon.fr):

By the way, have you drawn a sketch of the situation?

OpenStudy (plasmataco):

yeah

OpenStudy (plasmataco):

not a very good one

OpenStudy (vincent-lyon.fr):

There is no floatation here since there is an extra force pushing down on the block, in order to put it entirely under water.

OpenStudy (plasmataco):

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