Based on the density of the wood V=15.625 m=10.00 D=.64g/cm3, would the wood float or sink if it is placed in a bowl of water? Explain your answer. Remember that the density of liquid water is 1.00 g/cm3.
To determine whether the wood will float or sink in water, we need to compare the density of the wood to the density of water. Density is calculated using the formula:
Density = Mass / Volume
Given the values in the question, we have:
Mass (m) of the wood = 10.00 grams
Density (D) of the wood = 0.64 g/cm^3
Volume (V) of the wood = 15.625 cm^3
Density of water = 1.00 g/cm^3
Now, we can calculate the mass of the wood using the density formula:
Density = Mass / Volume
Rearranging this equation, we get:
Mass = Density x Volume
Substituting the values we have:
Mass = 0.64 g/cm^3 x 15.625 cm^3
Mass = 10.00 grams (which matches the given mass of the wood)
Now that we have confirmed that the given mass of the wood is consistent, we can compare the density of the wood (0.64 g/cm^3) with the density of water (1.00 g/cm^3).
If the density of the object is less than the density of the liquid, it will float. Conversely, if the density of the object is greater than the density of the liquid, it will sink.
In this case, the density of the wood (0.64 g/cm^3) is less than the density of water (1.00 g/cm^3). Therefore, the wood will float when placed in a bowl of water.
To determine if the wood will float or sink in a bowl of water, we need to compare the density of the wood with the density of water.
Density (D) is calculated by dividing the mass (m) of an object by its volume (V):
D = m/V
In this case, the volume of the wood (V) is given as 15.625 cubic meters (m^3), and the mass (m) is given as 10.00 grams. Therefore, the density of the wood can be calculated as follows:
D = m/V = 10.00 g / 15.625 m^3
However, the density of the wood is provided in grams per cubic centimeter (g/cm^3), and the density of water is given as 1.00 g/cm^3. Therefore, we need to convert the density of the wood to the same units.
The density of the wood is given as 0.64 g/cm^3. Comparing this to the density of water, we can conclude that:
- If the density of the wood is less than the density of water (0.64 g/cm^3 < 1.00 g/cm^3), then the wood will float in water.
- If the density of the wood is equal to the density of water (0.64 g/cm^3 = 1.00 g/cm^3), then the wood will be neutrally buoyant, meaning it will neither float nor sink.
- If the density of the wood is greater than the density of water (0.64 g/cm^3 > 1.00 g/cm^3), then the wood will sink in water.
In this case, since the density of the wood is 0.64 g/cm^3 and the density of water is 1.00 g/cm^3, we can determine that the wood will float when placed in a bowl of water.