Calculating Volume of Water Displaced by 12 kg Wooden Block

AI Thread Summary
To calculate the volume of water displaced by a 12 kg wooden block floating in a pool, the weight of the displaced water must equal the weight of the block. Given that the density of water is 1000 kg/m³, the volume can be calculated using the equation m = pV, where m is the mass of the water (12 kg) and p is the density of water. Rearranging the equation gives V = m/p, resulting in a displacement volume of 0.012 m³. The density of the wood is not needed for this calculation, as the focus is solely on the weight of the water displaced. Understanding this principle clarifies the relationship between weight and volume in buoyancy scenarios.
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A 12 kg wooden block is floating in a swimming pool. The density of the wood is
600 kg/m3. How many cubic meters of water does the block displace?
(a) 0.044
(b) 0.066
(c) 0.012
(d) not enough information to answer
(e) none of these

I'm really confused on this concept. I know that the weight displaced is the same weight as the object...But I don't know how to find volume from that.
I also tried using the equation m=pv but I don't know if that will work, or if it does, I don't know if I should plug in the density for the wood, or the density of water.

Please help! I've been trying for hours and I can't figure it out :(
 
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The block must displace enough water to equal its weight. The density of water (at "normal" temperature and pressure) is 1 g per cm (in fact, that is how "gram" was originally defined). So it should be easy to find the volume of water that has mass 12 kg.

(The volume of the block is, in fact, irrelevant.)
 


HallsofIvy said:
The block must displace enough water to equal its weight. The density of water (at "normal" temperature and pressure) is 1 g per cm (in fact, that is how "gram" was originally defined). So it should be easy to find the volume of water that has mass 12 kg.

(The volume of the block is, in fact, irrelevant.)

I'm still a little confused..
So would I plug it into m=pv?
12=1000 x V
 
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