A solid object floats on ethyl alcohol, with 60.9% of the object's volume submerged. Find the density of the object.

Well I know density is equal to mass/volume. So I guess find both! I know that doesn't really help at all (I'm taking physics too so I understand) but maybe going back to simplicity can help! Sorry!

To find the density of the object, we can use Archimedes' principle. According to this principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

First, we need to determine the volume of the object submerged. Given that 60.9% of the object's volume is submerged, we can say that 0.609 times the total volume of the object is submerged.

Let's assume the total volume of the object is V. Therefore, the volume submerged is 0.609V.

We also know that the buoyant force acting on the object is equal to the weight of the displaced fluid. This can be expressed as:

Buoyant force = weight of displaced fluid

The weight of the displaced fluid can be calculated using the formula:

Weight = density of fluid × volume of fluid displaced × acceleration due to gravity

Since we are dealing with ethyl alcohol, we will need the density of ethyl alcohol.

The density of ethyl alcohol can be found by doing some research or looking it up in a reference material. For ethyl alcohol at room temperature, the density is approximately 0.789 g/mL.

Now we can substitute the values into the formula:

Weight of displaced fluid = (density of ethyl alcohol) × (volume of fluid displaced) × (acceleration due to gravity)

Since the weight of the object is equal to the buoyant force, we can equate these two quantities:

Weight of the object = (density of the object) × (volume of the object) × (acceleration due to gravity)

We are trying to find the density of the object, so let's rearrange the equation:

Density of the object = (Weight of the object) / (volume of the object)

Now we have all the information needed to solve the problem. However, we still need to know the weight and volume of the object.

Please provide additional information about the weight and volume of the object to proceed with the calculation.