Solved: Calculating Force Needed for Archimedes' Principle

In summary, the conversation discusses the calculation of the force required to hold a solid cube of foam plastic with a volume of 25m^3 and a density of 800kg/m^3 under water. The equation P = F/A is mentioned, along with the attempt at solving for the mass and force using the density and Archimedes Principle. The conversation ends with a question about the correct equation to use.
  • #1
suzukits
8
0

Homework Statement



A solid cube of foam plastic has a volume of 25m^3 and a density of 800kg/m^3. How large a force is required to hold it under water?

Homework Equations


P = F/A
Fb = ρgV
ρ = m/V

The Attempt at a Solution


ρ = m/V
800 = m / 0.000025
m = 0.02kg

so F = mg = 0.02 x 9.8 = 0.196
I understand that the force required to keep it under water will be greater than this but I'm having a hard time finding the right equation.
 
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  • #2
anyone ?
please
 
  • #3
For starters look at the equation below that I copied.

800 = m / 0.000025

You have an error with your units.

Are you familiar with Archimedes Principle? If so, please state it.
 

Related to Solved: Calculating Force Needed for Archimedes' Principle

What is Archimedes' Principle?

Archimedes' Principle is a scientific law that states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that the object displaces.

How do you calculate the force needed for Archimedes' Principle?

The force needed for Archimedes' Principle can be calculated by multiplying the density of the fluid by the volume of the displaced fluid and the acceleration due to gravity.

What is the formula for Archimedes' Principle?

The formula for Archimedes' Principle is Fb = ρVg, where Fb is the buoyant force, ρ is the density of the fluid, V is the volume of the displaced fluid, and g is the acceleration due to gravity.

What units are used to measure the force in Archimedes' Principle?

The force in Archimedes' Principle is typically measured in newtons (N) or pounds (lbs).

How is Archimedes' Principle used in real life?

Archimedes' Principle is used in many real-life applications, such as determining the buoyancy of ships and submarines, designing hot air balloons and spacecrafts, and understanding the behavior of objects in fluids.

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