Mtal block weighs 500g in air and 446g completely submerged in water.
Calculate density and relative density.
I know relative density is density of material/density of water (1000kg/m-3)
Archimedes principle:
Buoyant force on a submerged or floating
object is equal to the weight of fluid displaced.
Volume of metal
= volume of fluid displaced
= weight of fluid displaced / density of fluid
= (buoyant force) / density of fluid
= (500-446) g / 1000 g/L
= 54 mL
Mass of metal = 500 g
density of metal = mass/volume
= 500/54 g/mL
= 9.26 g/mL
= 9.26 kg/m³
relative density = 9.26
DENSITY 1100
To calculate the density of the metal block, we can use the formula:
Density = Mass / Volume
Given that the mass of the metal block is 500g in air, we still need to determine its volume. Here's how you can do it:
1. Start by finding the volume of the metal block when completely submerged in water.
Mass of Metal Block in Water = 446g
2. The difference in the mass of the block in air and in water represents the weight of the water displaced by the block. This is known as the buoyant force.
Calculating the Buoyant Force: Buoyant Force = Weight of Water Displaced
Weight of Water Displaced = Mass of Water Displaced * Acceleration due to Gravity
Mass of Water Displaced = Mass of Metal Block in Air - Mass of Metal Block in Water
Acceleration due to Gravity = 9.8 m/s^2 (standard value)
3. Since we know that the density of water is 1000 kg/m^3, and density = mass / volume, we can calculate the volume of water displaced by the metal block in cubic meters.
Volume of Water Displaced = Mass of Water Displaced / Density of Water
4. Now, we have determined the volume of water displaced, which is equivalent to the volume of the metal block.
Finally, substitute the values into the formula to find the density of the metal block:
Density = Mass of Metal Block in Air / Volume
To calculate the relative density, you are correct that it is the ratio of the density of the material to the density of water.
Relative Density = Density of Material / Density of Water (1000 kg/m^3)