How Much Force Is Needed to Keep a Beach Ball Underwater?

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Homework Help Overview

The discussion revolves around calculating the force required to keep a beach ball submerged underwater, focusing on the principles of buoyancy and density. The original poster presents a specific volume for the beach ball and seeks assistance in determining the necessary force.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the formula for density and buoyancy, with one participant questioning the correctness of their understanding of Archimedes' principle. There is also an inquiry about the validity of the calculated buoyant force and the downward force needed to keep the ball submerged.

Discussion Status

Some participants have provided insights into the calculations and principles involved, while others are questioning the assumptions made regarding the density of the beach ball and its weight. There is an ongoing exploration of the concepts without a clear consensus on the correctness of the calculations presented.

Contextual Notes

Participants note that the density of the air-filled beach ball can be neglected for practical purposes, and there is mention of a template for homework questions that may guide the discussion.

jsalapide
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1.A beach ball has a volume of 0.050 m^3. How much force would you have to exert to hold this beach ball completely under water?

can somebody help me plss,,,,
 
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what have you tried so far?

There is a template for homework questions and a separate section.
 
I learned that for an object that is completely submerged in a liquid, the density of the object is equal to the density of the liquid.

I used the formula p=m/v to get the mass of the ball. I set p as the density of water which is 1000 kg/m^3. The answer I got was 50 kg. Then I multiply it to 9.8 m/s^2 to get the buoyant force.

My answer was 490 N...

Am I correct?
 
jsalapide said:
I learned that for an object that is completely submerged in a liquid, the density of the object is equal to the density of the liquid.
This is not correct. Look up Archimedes principle.
I used the formula p=m/v to get the mass of the ball. I set p as the density of water which is 1000 kg/m^3.
For all practical purposes, the density of the air filled beach ball can be neglected...that is, assume it has no weight.
The answer I got was 50 kg. Then I multiply it to 9.8 m/s^2 to get the buoyant force.

My answer was 490 N...

Am I correct?
The buoyancy force is 490N upward. What downward force must be applied to keep the ball completely underwater?
 

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