Density of the wooded rectangular block
Favorites|Homepage
Subscriptions | sitemap
HOME > > Density of the wooded rectangular block

Density of the wooded rectangular block

[From: ] [author: ] [Date: 12-04-04] [Hit: ]
When the block is placed in water, it floats horizontally,1.65 cm below the surface. What is the density of the wood?The answer is 0.......
A rectangular wooded block measures 10.0 cm length, 4.00 cm wide, and 2.00 cm
height. When the block is placed in water, it floats horizontally, with its bottom face
1.65 cm below the surface. What is the density of the wood?

The answer is 0.825 g/cm^3, but I can't figure out how to get that. Show steps to I can try to understand. Thanks.

-
According to Archimedes’ principle, the block will displace a mass of water equal to its own mass. The mass of water displaced is:

ρ = m/V
m = ρV
= (1.00g/cm³)(10.0cm x 4.00cm x 1.65cm)
= 66.0g

Since this is also the mass of the wood block, then its density is:

ρ = 66.0g / (10.0cm x 4.00cm x 2.00cm)
= 0.825g/cm³

Hope this helps.
1
keywords: the,block,rectangular,wooded,Density,of,Density of the wooded rectangular block
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .