Answer:
To calculate the relative density of the still burn bearing, we first need to find the mass of the water displaced by the bearing when it is added to the density bottle.
Given:
Mass of the empty density bottle (m_empty) = 0.04 kg
Mass of the density bottle with the still burn bearing (m_bearing) = 0.2 kg
Mass of the density bottle when filled with water (m_water) = 0.24 kg
Mass of the density bottle when filled with water (m_filled) = 0.1 kg
First, let's find the mass of the water displaced by the bearing:
Mass of water displaced = m_water - m_filled
= 0.24 kg - 0.1 kg
= 0.14 kg
Now, let's find the volume of the water displaced using the formula:
Density = Mass / Volume
Volume = Mass / Density
Given:
Density of water (ρ_water) = 1000 kg/m³ (assuming water density is 1000 kg/m³)
Volume of water displaced = Mass of water displaced / Density of water
= 0.14 kg / 1000 kg/m³
= 0.00014 m³
Now, let's find the volume of the still burn bearing using the formula:
Volume of bearing = Mass of bearing / Density of bearing
Given:
Density of water (ρ_bearing) = ?
Mass of the bearing (m_bearing) = 0.2 kg
We need to find the density of the bearing (ρ_bearing) using the formula:
Density = Mass / Volume
ρ_bearing = m_bearing / Volume of bearing
Now, substitute the known values:
0.2 kg / Volume of bearing = ρ_bearing
Next, let's find the volume of the bearing using the volume of water displaced:
volume of bearing = Volume of water displaced
Finally, substitute the volume of the bearing into the equation to find the density of the bearing:
ρ_bearing = 0.2 kg / Volume of water displaced
Once you find the density of the bearing, you can compare it to the density of steel (if known) to determine its relative density.
