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Calculate the buoyant force of a gold statue with a mass of 1.25 x105 grams and a density of 19,300 kg/m when fully submerged in water with density of 1000 kg/m3

Sagot :

To calculate the buoyant force acting on the gold statue when fully submerged in water, we can use the following formula:

Buoyant force = Volume of the object submerged in the fluid x Density of the fluid x Acceleration due to gravity

First, we need to convert the mass of the gold statue from grams to kilograms:

1.25 x 10^5 grams = 125,000 grams = 125 kg

Next, we can calculate the volume of the gold statue submerged in water using its mass and density:

Density of gold statue = 19,300 kg/m^3

Mass of gold statue = 125 kg

Volume = Mass / Density

Volume = 125 kg / 19,300 kg/m^3

Volume ≈ 0.00648 m^3

Now, we can calculate the buoyant force:

Buoyant force = Volume x Density of water x Acceleration due to gravity

Buoyant force = 0.00648 m^3 x 1000 kg/m^3 x 9.81 m/s^2

Buoyant force ≈ 63.7221 N

Therefore, the buoyant force acting on the gold statue when fully submerged in water is approximately 63.72 Newtons.

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