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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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