Science, asked by Rudransh13, 1 year ago

A tin has a colume of 1000cm^3 and has a mass of 100 g what mass a lead shot can it carry without sinking in water(density is 1000kg/m^3 answer with full steps

Answers

Answered by THETIGGER
1
Thanks for the A2A!

This looks like a homework question. I'll help you find the answer, but I don't answer them directly.

First, the density of water (we'll call this Pw) is 0.99823g\cm^3 and most professors will let you get away with just calling it 1g\cm^3.

Now, the volume of the can (Vc) is 1000cm^3 and has a mass (Mc) of 100g.

Density is simply mass\volume so set up the problem to find the density of the empty can (Pc).

Pc=Mc\Vc

Archimedes principle essentially says that an object will not sink until the density of the object exceeds the density of the medium.

Now look up the mass of lead (Ml).

The last thing to do is a little algebra to figure out how much lead can be added to the can until the total density (Pt) is equal to Pw.

Pt = ((Mc + Ml) \ Vc) where Pt = Pw

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