The bottom of a steel~ "boat"~ is a 2m x 22m x 2cm piece of steel ( P_steel= 7900 kg/m^3). The...

Question:

The bottom of a steel "boat" is a 2m x 22m x 2cm piece of steel ( {eq}P_{steel} {/eq}}= 7900 kg/{eq}m^3 {/eq}. The sides are made of 1.40 cm thick steel. What minimum height must the sides have for this boat to float in perfectly calm water?

Buoyancy Force:

When we push the empty bucket in the water then we need to apply very hard force in order to sink the bucket in the water. Similarly, the boat also experiences the buoyancy force of the water and maintains the floating condition of the boat.

{eq}\boxed {\text {Buoyancy Force} =\rm V_{body} \times \rho_{fluid}\times g} {/eq}

Where;

  • {eq}V {/eq} be the volume of the body
  • {eq}\rho {/eq} be the density of the liquid

Answer and Explanation:

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Given data:

  • Density of the steel {eq}\rho_{steel} =7900 \ kg/m^3 {/eq}
  • Density of the water {eq}\rho_w=1000 \ kg/m^3 {/eq}
  • {eq}h {/eq} be the...

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Buoyancy: Calculating Force and Density with Archimedes' Principle

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Chapter 16 / Lesson 13
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Knowledge of the buoyant force is important when trying to understand why some objects float while other objects sink. In this lesson you'll learn about this unique force and how we apply it to various situations using Archimedes' Principle.


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