5. You are preparing some apparatus for a visit to a newly discovered planet Caasi having oceans of glycerine and a surface acceleration due to gravity of 4.15 m/s2. If your apparatus floats in the oceans on earth with 25.0% of its volume submerged, what percentage will be submerged in the glycerine oceans of Caasi

The percentage that will be submerged is  % of V

Explanation:

From the question we are told that

       The acceleration due to gravity is in cassi is  

       On  earth the percentage of submerged volume is %

The objective is obtain the amount of the apparatus that will submerge in the glycerin oceans of Caasi

  According to Archimedes principle

 Mathematically this is represented as

The Buoyant force is mathematically represented as

Where   is the density of sea-water with a constant value of  

              is the volume of the apparatus in water

              is the gravity on earth  

 And the weight is mathematically represented as

Let V be the total volume of the apparatus then the volume of the apparatus in water would be

Substituting this into the above equation

      Substituting values

For Flotation to be possible in glycerine oceans of Caasi

Where is the density of glycerine which has a constant value of

          is the volume of the apparatus submerged in the glycerine oceans of Caasi

       Substituting values

  Making the subject

                        % of V