The density of gold is 19.3 x 10^3 kg/m^3. What buoyant force does a .6 kg gold crown experience when it is immersed in water?

Buoyant force = (Water density) x (gold volume)x g

The volume of the gold is
(mass)/(gold density)= 3.11*10^-5 m^3

The density of water is 1000 kg/m^3

The answer will be in Newtons after multiplying by g.

This is obviously not a tooth crown - At 0.6 kg, it would weigh 19 oz. and cost %26,000 at today's prices

Well, let's see here. A gold crown, eh? Must be fit for a king or queen! Now, before we dive into the calculation, let me tell you this: gold may be dense, but it sure knows how to make a statement! Now, to answer your question, we need to find the buoyant force acting on the crown when it's immersed in water. The buoyant force is equal to the weight of the water displaced by the crown. So, we need to find the volume of the crown first. Since density is mass divided by volume, we can rewrite that as volume is equal to mass divided by density. In this case, the mass of the crown is 0.6 kg, and the density of gold is 19.3 x 10^3 kg/m^3. So, the volume of the crown is 0.6 kg divided by 19.3 x 10^3 kg/m^3. Once we have the volume, we can multiply it by the density of water (which is approximately 1000 kg/m^3) to get the weight of the water displaced by the crown. And voila! That will give us the buoyant force the crown experiences. But hey, let's not forget to account for the clownfish doing a little dance underwater while wearing the crown! It might add some extra buoyancy, you know? So, always be prepared for a few surprises when it comes to clown fish and their gold accessories!

To calculate the buoyant force experienced by the gold crown when it's immersed in water, we need to use Archimedes' principle.

Step 1: Find the volume of the gold crown.
The volume of an object can be calculated using the formula:
Volume = Mass / Density

Given:
Mass of the gold crown = 0.6 kg
Density of gold = 19.3 x 10^3 kg/m^3

Using the formula, we can calculate the volume of the gold crown:
Volume = 0.6 kg / (19.3 x 10^3 kg/m^3)

Step 2: Calculate the buoyant force using Archimedes' principle.
According to Archimedes' principle, the buoyant force experienced by an object immersed in a fluid is equal to the weight of the fluid displaced by the object.

The weight of the fluid displaced can be calculated using the formula:
Weight = Density of fluid x Volume of fluid x gravitational acceleration

Given:
Density of water = 1000 kg/m^3 (density of water at standard conditions)
Gravitational acceleration = 9.8 m/s^2

Using the formula, we can calculate the buoyant force:
Buoyant force = Density of water x Volume of gold crown x gravitational acceleration

Substituting the values, we have:
Buoyant force = 1000 kg/m^3 x Volume x 9.8 m/s^2

Step 3: Substitute the volume of the gold crown into the formula.
Substitute the value of the volume of the gold crown that we calculated in Step 1 into the buoyant force formula.

Buoyant force = 1000 kg/m^3 x (Volume from Step 1) x 9.8 m/s^2

Calculate this expression to find the buoyant force.

To calculate the buoyant force experienced by the gold crown when it is immersed in water, you need to use Archimedes' principle and the density of the fluid.

Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the displaced fluid.

Step 1: Calculate the volume of the gold crown
The volume of the gold crown can be calculated using the formula:
Volume = (mass of the object) / (density of the object)

In this case, the mass of the gold crown is given as 0.6 kg.
Using the density of gold, which is 19.3 x 10^3 kg/m^3, we can find the volume:
Volume = 0.6 kg / (19.3 x 10^3 kg/m^3)

Step 2: Calculate the weight of the displaced water
The weight of the displaced water can be calculated using the formula:
Weight = (density of water) x (volume of the gold crown) x (acceleration due to gravity)

The density of water is approximately 1000 kg/m^3.
The volume of the gold crown was calculated in Step 1.
The acceleration due to gravity is approximately 9.8 m/s^2.

Step 3: Calculate the buoyant force
The buoyant force is equal to the weight of the displaced water. So, the buoyant force can be calculated using the formula:
Buoyant Force = Weight

Now you have all the information you need to calculate the buoyant force experienced by the gold crown when it is immersed in water.