# Calculate the buoyant force on a solid object made of copper

• BrainMan
In summary, to calculate the buoyant force on a solid object made of copper with a volume of 0.2 m^3 submerged in water, you can use the formula B = pVg, where p is the density of the object, V is the volume, and g is acceleration due to gravity. By plugging in the values, you get a buoyant force of 1.74 x 10^4. However, the correct answer is 1.96 x 10^3. It is important to note that the density used in the formula is not necessarily the density of copper, but rather the density of the object itself. This is why the final answer may differ from the expected value.
BrainMan

## Homework Statement

Calculate the buoyant force on a solid object made of copper and having a volume of 0.2 m^3 if it is submerged in water.

B = pVg

## The Attempt at a Solution

I followed the above equation and did
B = (8.92 x 10^3 kg/m^3)(0.2 m^3)(9.8 m/s^2)
B = 1.74 x 10^4
The correct answer is 1.96 x 10^3

Why do you use the density of copper?

mfb said:
Why do you use the density of copper?
I'm not sure it's just part of the formula. p = density

A density, sure, but not the one of copper.

BrainMan
mfb said:
A density, sure, but not the one of copper.
Ok thanks! I figured it out.

## 1. What is the formula for calculating the buoyant force on a solid object made of copper?

The formula for calculating the buoyant force on a solid object is FB = ρfluid * g * Vsubmerged, where ρfluid is the density of the fluid, g is the acceleration due to gravity, and Vsubmerged is the volume of the object submerged in the fluid.

## 2. How do you determine the density of the fluid in the formula for buoyant force?

The density of the fluid can be determined by using a hydrometer or by measuring the mass and volume of the fluid and then using the formula ρ = m/V, where ρ is density, m is mass, and V is volume.

## 3. Does the shape or size of the copper object affect the buoyant force?

Yes, the shape and size of the copper object does affect the buoyant force. Objects with larger volumes will displace more fluid, resulting in a larger buoyant force. Additionally, the shape of the object can also affect how much fluid it displaces and therefore impact the buoyant force.

## 4. What is the unit of measurement for buoyant force?

The unit of measurement for buoyant force is Newtons (N), which is a unit of force in the International System of Units (SI).

## 5. Can the buoyant force on a solid object made of copper be negative?

No, the buoyant force cannot be negative. It is always directed upwards and is equal to the weight of the fluid displaced by the object. If the buoyant force is greater than the weight of the object, the object will float. If the buoyant force is less than the weight of the object, the object will sink.

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