If an objects density is less than that of a liquid, it will float in the liquid. At a temperature of 70F the density of water is approximately 998 kg/m^3. At this temperature, which of the following pieces of wood will float in water?
0.65 m^3 piece of kingwood with a mass of 780 kg
0.48 m^3 piece of snakewood with a mass of 581.76 kg
0.52 m^3 piece of verawood with a mass of 619.84 kg
0.71 m^3 piece of logwood with a mass of 646.1 kg
well, I think 998 is about 1000 kg/m^3 :)
780 kg / .65 m^3 = 1200 kg / m^3 sinks like a rock
now you do the others
Density = mass/volume
Calculate density of each wood and compare to water.
To determine which of the pieces of wood will float in water, we need to compare the density of each piece of wood with the density of water.
Density is defined as mass divided by volume:
Density = Mass / Volume
In this case, we have the mass and volume for each piece of wood. We can use the formula to calculate the density of each piece.
For example, let's calculate the density of the first piece, the kingwood:
Density of kingwood = Mass of kingwood / Volume of kingwood
Density of kingwood = 780 kg / 0.65 m^3
Density of kingwood ≈ 1200 kg/m^3
The density of water is approximately 998 kg/m^3. Since the density of kingwood, 1200 kg/m^3, is greater than the density of water, it means the kingwood will sink in water.
Now, we can repeat the same calculation for the other pieces of wood:
Density of snakewood = Mass of snakewood / Volume of snakewood
Density of snakewood = 581.76 kg / 0.48 m^3
Density of snakewood ≈ 1212 kg/m^3
Density of verawood = Mass of verawood / Volume of verawood
Density of verawood = 619.84 kg / 0.52 m^3
Density of verawood ≈ 1192 kg/m^3
Density of logwood = Mass of logwood / Volume of logwood
Density of logwood = 646.1 kg / 0.71 m^3
Density of logwood ≈ 911 kg/m^3
Comparing these densities to the density of water (998 kg/m^3), we find:
- The snakewood (density ≈ 1212 kg/m^3) will sink in water.
- The verawood (density ≈ 1192 kg/m^3) will also sink in water.
- The logwood (density ≈ 911 kg/m^3) has a lower density than water, so it will float.
Therefore, the 0.71 m^3 piece of logwood with a mass of 646.1 kg will float in water.