Calculate True Mass of Aluminum Using Archimedes' Principle | 4.2000 kg + ___ kg

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In summary, to calculate the true mass of aluminum using Archimedes' Principle, you must measure the volume of the object, find the density of aluminum, and use the formula True Mass = (Volume x Density) - Mass of Water Displaced. Archimedes' Principle is a scientific law that relates the buoyant force to the weight of the fluid displaced. Calculating the true mass of an object is important for accurate measurements and determining purity. The mass of water displaced is the weight of the water pushed out of the way by the object. Archimedes' Principle can be used for any object submerged in a fluid, as long as the necessary information is known.
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Homework Statement


Calculate the true mass (in vacuum) of a piece of aluminum whose apparent mass is 4.2000 kg when weighed in air. (Express your answer as 4.2000 kg plus a positive or negative number.)
(4.2000 + ________ ) kg



Homework Equations



Buoyant force = density x gravity x volume
d=m/v



The Attempt at a Solution



I'm guessing I have to find the amount of air displaced but I'm really not too sure on how to go about doing this
 
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Mass of the aluminum is given. Find the density of aluminum and air from Wikipedia. Using the relevant formula find the volume.
 

1. How do you calculate the true mass of aluminum using Archimedes' Principle?

To calculate the true mass of aluminum using Archimedes' Principle, you will need to first measure the volume of the aluminum object in cubic centimeters (cm3). Next, you will need to find the density of aluminum, which is 2.7 g/cm3. Finally, you can use the formula True Mass = (Volume x Density) - Mass of Water Displaced. This will give you the true mass of the aluminum object in kilograms (kg).

2. What is Archimedes' Principle?

Archimedes' Principle is a scientific law that states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that the object displaces. In other words, the upward force on an object in a fluid is equal to the weight of the fluid that the object has displaced.

3. Why is it important to calculate the true mass of an object?

Calculating the true mass of an object is important because it allows for more accurate measurements and calculations in scientific experiments. It can also help determine the purity of a substance or the exact composition of a mixture.

4. What is the mass of water displaced?

The mass of water displaced is the weight of the water that is pushed out of the way when an object is submerged in it. This can be calculated by multiplying the volume of the object by the density of water, which is 1 g/cm3.

5. Can Archimedes' Principle be used to calculate the true mass of any object?

Archimedes' Principle can be used to calculate the true mass of any object, as long as the density of the object and the mass of water displaced are known. However, it is most commonly used for objects that are partially or fully submerged in a fluid, such as water or air.

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