Respuesta :

Aquimedes' principle allows to find the result for the apparent weight of the steel sphere is:

  • Apparent weight is:  [tex]W_{apparent}[/tex]  = 369.77 N

 

Archimedes' principle

The thrust of a fluid on a body is given by Archimedes' principle which states that equal to the weight of the displaced liquid.

              B = [tex]\rho \ g \ V_{liquid}[/tex]  

Where B is the buoyancy, p the density of the liquid, g the acceleration due to gravity and V the volume of the liquid.

 

In the attachment we see a free body diagram of the system, which is a representation of the forces without the details of the bodies.

           

            [tex]W_{apparent}[/tex] = W- B

 

The volume of the liquid is the same as the volume of the sphere.

             [tex]V_{liquid} = V_{body} = \frac{4}{3} \pi r^3[/tex]  

Let's substitute.

            [tex]W_{apparent} = m g - \rho_{liquid} \ g \ (\frac{4}{3} \pi r^3 )[/tex]  

Let's calculate.

          [tex]W_{apparent} = 9.8 ( 38 - \frac{4}{3} \pi \ 1000 \ 0.04^3 ) = 9.8 \ 37.73[/tex]  

         .[tex]W_{apparent} = 369.77 N[/tex]          

In conclusion, using Aquimedes' principle, we can find the result for the apparent weight of the steel sphere:

  • Apparent weight is:  [tex]W_{apparent} = 369.77 N[/tex]  

Learn more about Archimedes' principle here: brainly.com/question/13106989

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