A copper (Cu) weight is placed on top of a 0.24 kg block of wood (density = 0.60*10^3 kg/m3) floating in water. What is the mass of the copper if the top of the wood block is exactly at the water's surface?
To find the mass of the copper, we need to consider the weight of the wood block and the weight of the water displaced by the wood block.
1. Calculate the weight of the wood block:
Weight of the wood block = mass of the wood block * acceleration due to gravity
Weight of the wood block = 0.24 kg * 9.8 m/s^2
2. Calculate the volume of the wood block:
Volume of the wood block = mass of the wood block / density of wood
Volume of the wood block = 0.24 kg / (0.60 * 10^3 kg/m^3)
3. Calculate the weight of the water displaced by the wood block (buoyant force):
Buoyant force = weight of the displaced water
Buoyant force = volume of the wood block * density of water * acceleration due to gravity
4. Now we can set up an equation to find the mass of the copper:
Weight of the copper + Weight of the wood block = Buoyant force
Mass of the copper * acceleration due to gravity + 0.24 kg * 9.8 m/s^2 = Volume of the wood block * density of water * acceleration due to gravity
5. Rearrange the equation to solve for the mass of the copper:
Mass of the copper = (Volume of the wood block * density of water * acceleration due to gravity - 0.24 kg * 9.8 m/s^2) / acceleration due to gravity
6. Plug in the values:
Mass of the copper = (Volume of the wood block * 1000 kg/m^3 * 9.8 m/s^2 - 0.24 kg * 9.8 m/s^2) / 9.8 m/s^2
After solving the equation, you will find the mass of the copper.