Solve PVg Volume-Weight Problem: 28 N Required

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SUMMARY

The discussion focuses on solving the volume-weight problem of a bathball floating in water, specifically determining the force required to submerge it completely. The bathball has a volume of 3.0 dm³ and is 6.0% submerged, leading to a calculated mass of 0.18 kg. The user initially misapplies the formula p*v*g/p to find the force, resulting in an incorrect value of 2.946 N instead of the correct 28 N. The correct approach involves balancing the forces acting on the bathball, where the sum of the gravitational force and the applied force must equal the buoyant force.

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  • Understanding of buoyancy and Archimedes' principle
  • Familiarity with basic physics formulas involving force, mass, and gravity
  • Knowledge of water density (1.0 x 10^3 kg/m³)
  • Ability to analyze forces in equilibrium
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  • Study the principles of buoyancy and Archimedes' principle in detail
  • Learn how to calculate forces in equilibrium scenarios
  • Explore the concept of pressure in fluids and its applications
  • Investigate the relationship between volume, density, and mass in fluid mechanics
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This discussion is beneficial for physics students, educators, and anyone interested in fluid mechanics and buoyancy calculations, particularly those working on practical applications in physics experiments.

Izekid
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I have a problem that I can't solve,

A bathball with the volume 3,0dm^3 is floating on water and has 6,0% of it's volume down in the water.

a) Count the bathball's mass , Easy : 0,06*3,0= 1,8hg = 0,18 kg

Now comes the real problem

b) how much power do you need to use to force the whole bathball down under water?

Well for this I though i'd use p*v*g /p (where p is water density)
Water density 1,0 * 10^3 = 1000*0,3m^3*9,82 = 2946 / 1000 = 2,946 N

Which totally wrong it should be 28 N how do I solve this?
 
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Draw a diagram. You should have three forces.

"p*v*g /p"
How did you get this?
 
Eh?

Don't know what you're suggesting please understand I'm no science freak :cry: :cry: :bugeye: :smile: :zzz:

Yeah I have 3 forces gravity is one my power pressing the bathball down is one and the will to go up is the third. But I do not not the force pressing the item down!?
And how do I get to know that ?
Give me a formula or something?
 
There isn't much help I can give without solving the problem. Here goes, though:

Well, the forces should equal zero (for the minimal force).
So:
mg + F = \rho _{water} Vg
 

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