A block of wood will sink 10 cm in freshwater. How far will it sink in seawater. The specific gravity of seawater is 1.025
If you want help with assignment contact me i work as an assignment helper.
In fresh water the wood sinks 10 cm
hence 10 *A*g = weight of block
in sea water g' = 1.025 g
so 10 *A*g = y A 1.025 g
y = 10/1.025
= 9.756 cm
Oh buoy, let's dive into this question! So, we know that the specific gravity of a substance is a ratio comparing its density to that of water. Freshwater has a specific gravity of 1.000, while seawater has a specific gravity of 1.025.
If a block of wood sinks 10 cm in freshwater, we can say it displaces a volume of water equal to its own volume. Since the specific gravity of seawater is higher, it means that seawater is denser than freshwater. Consequently, the block of wood will sink a little deeper in seawater.
To figure out how far the block will sink, it's like trying to measure the seriousness of a dad joke—quite subjective! But we can get an estimate. If the block sinks 10 cm in freshwater, with seawater being about 2.5% denser, it might sink around 10.25 cm in seawater.
So, hold onto your lifebuoy, because that wood block is going to make a slightly deeper splash in the sea!
To determine how far the block of wood will sink in seawater, we can use the principle of flotation.
The principle of flotation states that an object will displace a volume of fluid equal to its own weight. Based on this principle, we can calculate the volume of water displaced by the block of wood in freshwater.
Given:
- Distance the block of wood sinks in freshwater: 10 cm
Now, let's calculate the volume of water displaced in freshwater:
1. Convert the sinking distance from centimeters to meters:
10 cm = 0.1 meters
The volume of water displaced in freshwater can be calculated using the formula: V = d * A
where V = volume of water displaced
d = sinking distance
A = cross-sectional area of the block of wood
2. Let's assume the cross-sectional area of the block of wood is 1 square meter for simplicity.
Using the formula: V = 0.1 meters * 1 square meter
This yields a volume of 0.1 cubic meters for freshwater.
Now, let's calculate the sinking distance in seawater using the specific gravity of seawater (1.025):
The volume of water displaced in seawater would be equal to the block's weight divided by the specific gravity (SG) of the fluid.
3. Calculate the weight of the block of wood:
Since weight = density * volume * gravity
And we are assuming the density of the wood is constant, it can be canceled out.
Therefore, the weight of the block in freshwater would be equal to the block's weight in seawater (W) multiplied by the specific gravity of seawater (SG).
W = V_freshwater * SG
where W = weight of the block in freshwater
V_freshwater = volume of water displaced in freshwater
SG = specific gravity of seawater
W = 0.1 cubic meters * 1.025
This yields a weight equal to 0.1025 cubic meters.
4. Calculate the sinking distance in seawater:
Now, we can apply the principle of flotation to determine the sinking distance in seawater using the weight calculated in the previous step:
d_seawater = V_seawater / A
where d_seawater = sinking distance in seawater
V_seawater = volume of water displaced in seawater
A = cross-sectional area of the block of wood
d_seawater = 0.1025 cubic meters / 1 square meter
This yields a sinking distance of 0.1025 meters or 10.25 cm in seawater.
Therefore, the block of wood will sink approximately 10.25 cm in seawater.
To determine how far the block of wood will sink in seawater, we can use the concept of specific gravity. Specific gravity is a measure of the density of a substance compared to the density of a reference substance. In this case, we are comparing the density of seawater to freshwater.
The specific gravity of freshwater is considered to be 1.000 since it serves as the reference substance in this comparison. The specific gravity of seawater is given as 1.025, meaning seawater is slightly more dense than freshwater.
We can use the ratio of these specific gravities to calculate the difference in sinking depth between freshwater and seawater.
First, let's define the sinking depth in freshwater as Sink_Freshwater = 10 cm (given).
Since the specific gravity of freshwater is 1.000, the density of freshwater is equal to 1.000 times the density of water (1000 kg/m^3).
To find the sinking depth in seawater, we can use the equation:
Sink_Saltwater = Sink_Freshwater x (Specific Gravity Saltwater / Specific Gravity Freshwater)
Substituting the given values:
Sink_Saltwater = 10 cm x (1.025 / 1.000)
Calculating:
Sink_Saltwater = 10.25 cm
Therefore, the block of wood will sink approximately 10.25 cm in seawater.