Calculate the buoyant force on a solid object made of copper

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SUMMARY

The buoyant force on a solid object made of copper with a volume of 0.2 m³ submerged in water is calculated using the formula B = pVg. The correct calculation involves using the density of water, not copper, leading to a buoyant force of 1.96 x 10³ N. The initial miscalculation of 1.74 x 10⁴ N resulted from incorrectly applying the density of copper (8.92 x 10³ kg/m³) instead of the density of water (approximately 1,000 kg/m³). Understanding the distinction between the densities is crucial for accurate buoyancy calculations.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Familiarity with the formula for buoyant force (B = pVg)
  • Knowledge of the density of water (approximately 1,000 kg/m³)
  • Basic physics concepts related to fluid mechanics
NEXT STEPS
  • Research the properties of different fluids and their densities
  • Learn about Archimedes' principle in greater detail
  • Explore applications of buoyancy in engineering and design
  • Study the effects of temperature on fluid density
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, as well as educators and professionals involved in engineering and design applications related to buoyancy.

BrainMan
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Homework Statement


Calculate the buoyant force on a solid object made of copper and having a volume of 0.2 m^3 if it is submerged in water.

Homework Equations


B = pVg

The Attempt at a Solution


I followed the above equation and did
B = (8.92 x 10^3 kg/m^3)(0.2 m^3)(9.8 m/s^2)
B = 1.74 x 10^4
The correct answer is 1.96 x 10^3
 
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Why do you use the density of copper?
 
mfb said:
Why do you use the density of copper?
I'm not sure it's just part of the formula. p = density
 
A density, sure, but not the one of copper.
 
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Likes   Reactions: BrainMan
mfb said:
A density, sure, but not the one of copper.
Ok thanks! I figured it out.
 

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