An object with a mass of 34.0 g and a volume of 41.0 + B cm3 is placed in a liquid with a density of 1.25 g/cm3. Find the volume of the part of the object that is NOT submerged in the liquid. Give your answer in cm3 and with 3 significant figures.
The displaced liquid must have the same weight at the floating object:
34g
Bouyancey=34=density*volumesubmerged
volume submerged=34/1.25 cm^3
Volume not submerged=41-volumesubmerged.
An object with a mass of 34.0 g and a volume of 41.0 cm3 is placed in a liquid with a density of 1.25 g/cm3. Find the volume of the part of the object that is NOT submerged in the liquid. Give your answer in cm3 and with 3 significant figures.
- theres no + B in the equation
To find the volume of the part of the object that is NOT submerged in the liquid, we first need to calculate the volume of the whole object that is submerged in the liquid.
The formula for density is:
density = mass / volume
Given that the object has a mass of 34.0 g and it is placed in a liquid with a density of 1.25 g/cm3, we can rearrange the formula to solve for volume:
volume = mass / density
Substituting the given values:
volume = 34.0 g / 1.25 g/cm3
Calculating:
volume = 27.2 cm3
Therefore, the whole object has a volume of 27.2 cm3 that is submerged in the liquid.
To find the volume of the part of the object that is NOT submerged in the liquid, we subtract the volume of the submerged part from the total volume of the object:
Volume of the part NOT submerged = Total volume - Volume of submerged part
Volume of the part NOT submerged = (41.0 + B) cm3 - 27.2 cm3
Volume of the part NOT submerged = 13.8 cm3 + B cm3
And since the volume of the part NOT submerged is requested with 3 significant figures, the answer is:
Volume of the part NOT submerged = 13.8 cm3 + B cm3 (with 3 significant figures)
To find the volume of the part of the object that is NOT submerged in the liquid, we need to first determine the volume of the object that is submerged in the liquid.
The mass of the object is given as 34.0 g, and the density of the liquid is given as 1.25 g/cm3.
We can use the formula for density to find the volume of the submerged part:
Density = Mass / Volume
Given: Density of liquid = 1.25 g/cm3
Mass of object = 34.0 g
Density = mass / volume_submerged
Rearranging the formula, we have:
Volume submerged = Mass / Density of liquid
Substituting the given values, we have:
Volume submerged = 34.0 g / 1.25 g/cm3 = 27.2 cm3
Next, to find the volume of the part of the object that is NOT submerged, we subtract the volume submerged from the total volume of the object.
Total volume of object = 41.0 + B cm3
Volume not submerged = Total volume - Volume submerged
Substituting the known values, we have:
Volume not submerged = (41.0 + B) cm3 - 27.2 cm3
Now, we need to solve for B in order to calculate the final volume.
To solve for B, we can rearrange the equation:
B = Volume not submerged - 41.0 cm3
Substituting the known values, we have:
B = (41.0 + B) cm3 - 27.2 cm3
Simplifying the equation, we have:
B - B = 41.0 cm3 - 27.2 cm3
0 = 13.8 cm3
Therefore, B = 13.8 cm3
To calculate the final volume of the part of the object not submerged, we substitute the value of B into the equation:
Volume not submerged = (41.0 + 13.8) cm3 = 54.8 cm3
The volume of the part of the object that is NOT submerged in the liquid is 54.8 cm3 (to 3 significant figures).