Block is lowered into water, what is weight of water spilled?

AI Thread Summary
A 400 cm^3 block of aluminum with a density of 2.7 g/cm^3 displaces an equal volume of water when submerged. The mass of the displaced water is 400 g, which converts to 0.4 kg. Using the weight formula (w=mg), the weight of the spilled water is calculated to be 4N. Some participants initially miscalculated the weight, with one stating 10.8 N. The correct understanding is that the volume of water displaced directly corresponds to the volume of the block.
test2morrow
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Homework Statement



A 400 cm^3 block of aluminum (D=2.7 g/cm^3) is lowered into a completely full beaker of water. What is weight of water that spills out of the beaker? Correct answer is 4N.

Homework Equations



D=m/v



The Attempt at a Solution



I figured out the volume of the block which will equal to the amount of water displaced...and I did not get 4N.
 
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What did you get?
 
I got 10.8 N

I figured out the mass (not volume as previously stated) and used w=mg
 
test2morrow said:

Homework Statement


A 400 cm^3 block of aluminum (D=2.7 g/cm^3) is lowered into a completely full beaker of water. What is weight of water that spills out of the beaker? Correct answer is 4N.
/QUOTE]

When 400 cm^3 block of aluminum is completely lowered in the water, 400 cm^3 of water is spilled out. Its mass is 400 g or 0.4 kg. Find the weight of this water.
 
thanks, that helped. my brain just isn't working today.
 
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