A block of wood of volume 25 cm floats in water with 20 cm of its volume immersed calculate it's density and weight
since 4/5 is submerged, its density is 4/5 that of water.
To calculate the density and weight of the block of wood, we need to know the density of water and the volume of the block.
1. Density of Water:
The density of water is approximately 1 g/cm³ or 1000 kg/m³.
2. Volume of the Block:
The volume of the block can be calculated using the information provided. It says that 20 cm of the block's volume is immersed in water. So, the submerged volume is 20 cm³.
To find the total volume of the block, we can divide the submerged volume by the ratio of submerged volume to total volume. In this case, since 20 cm is submerged out of a total volume of 25 cm, the ratio is 20/25.
Total Volume of Block = (Submerged Volume / (Submerged Volume / Total Volume))
= 20 cm³ / (20 cm³ / 25 cm)
= 25 cm³
3. Density Calculation:
Density is calculated by dividing the mass of an object by its volume.
Since we have not been given the mass of the block, we cannot directly calculate its density. However, given that the block is made of wood, we can estimate its density. The density of wood can range from 300 to 1500 kg/m³, with the most common values being around 700 kg/m³.
4. Weight Calculation:
Weight is calculated by multiplying the mass of an object by the acceleration due to gravity (9.8 m/s²).
To calculate the weight of the block, we need to find its mass first. Since we know the density of the block, we can use the formula:
Density = Mass / Volume
By rearranging the formula, we get:
Mass = Density * Volume
Once we have the mass, we can calculate the weight:
Weight = Mass * 9.8 m/s²
So, to summarize:
1. Density of the block can be estimated based on the type of wood it is made of.
2. The mass can be calculated using the formula: Mass = Density * Volume.
3. The weight can be calculated using the formula: Weight = Mass * 9.8 m/s².