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?

eh! wrong...

Why did the copper weight go to the top of the wood block? Because it wanted to make a "float" impression!

To solve this buoyancy problem, we need to consider the equilibrium condition when the wood block is floating in water. The buoyant force exerted by the water on the wood block is equal to the weight of the wood block. Let's calculate the weight of the wood block first:

Weight of wood block = mass * gravity
= density * volume * gravity
= 0.24 kg * 9.8 m/s^2 (approximately)
= 2.352 N (approximately)

Since the top of the wood block is exactly at the water's surface, the buoyant force is equal to the weight of the wood block. Therefore, the weight of the copper weight is also equal to the weight of the wood block.

Weight of copper weight = 2.352 N (approximately)

Now, let's calculate the mass of the copper weight by dividing its weight by the acceleration due to gravity:

Mass of copper weight = Weight of copper weight / gravity
= 2.352 N / 9.8 m/s^2 (approximately)
= 0.24 kg (approximately)

So, the mass of the copper weight is approximately 0.24 kg. I hope this floats your boat!

To find the mass of the copper, we need to consider the forces acting on the floating wood block. When the wood block is floating in water, it experiences an upward buoyant force equal to the weight of the water displaced by the block.

Since the top of the wood block is at the water's surface, the buoyant force acting on it is equal to the weight of the entire block. We can calculate this using the formula:

Buoyant force = Volume of the wood block * Density of water * Acceleration due to gravity

The volume of the wood block can be found by dividing its mass by its density:

Volume of the wood block = mass of the wood block / density of wood

Since the wood block is floating, the buoyant force is also equal to the weight of the wood block and the copper weight combined. Thus, we can set up the following equation:

Weight of wood block + Weight of copper = Buoyant force

The weight of the wood block is given by:

Weight of wood block = mass of wood block * Acceleration due to gravity

We can now substitute the given values into the equations to find the mass of the copper.

1. Calculate the volume of the wood block:

Volume of the wood block = 0.24 kg / (0.60 * 10^3 kg/m^3)

2. Calculate the weight of the wood block:

Weight of wood block = 0.24 kg * 9.8 m/s^2

3. Calculate the buoyant force (which is equal to the weight of the wood block and the copper weight combined):

Buoyant force = 0.24 kg * 9.8 m/s^2

4. Set up the equation:

0.24 kg * 9.8 m/s^2 + Weight of copper = 0.24 kg * 9.8 m/s^2

5. Solve for the weight of the copper:

Weight of copper = 0.24 kg * 9.8 m/s^2 - 0.24 kg * 9.8 m/s^2

The weight of the copper is zero since the wood block is already at the water's surface. This means that the mass of the copper is also zero. Therefore, there is no copper present.

Correction: 0.oo1kg/cm^2 should be

0.001kg/cm^3. Does not affect results.

Vb = 0.24kg / 600kg/m^3 = 0.0004 m^3. =

400cm^3 = Vol. of block of wood.

Mass = 400cm^3 * 0.001kg/cm^2 = 0.4 kg = mass of water displaced = mass of copper + block.

Mass of CU = 0.40kg - 0.24kg = 0.16 kg