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 5.40m/s^2. 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 value is    

Explanation:

From the question we are told that

    The  acceleration due to gravity of the planet is  

     The  percentage  volume of the apparatus submerged in the ocean on earth is

  Generally the buoyant force acting on the apparatus  is equal to the weight of the apparatus

i.e

Hence the mass of the apparatus  is mathematically represented as

Here   is the  density of the sea water with a value of  

        is the volume of the apparatus submerged

So  

Here V  is the total  volume of the apparatus

=>          

  Generally at the new planet the mass of the apparatus is mathematically represented as

Here   is the  density of the glycerin with a value of  

Gnerally    

So

=>        

=>      

Hence the percentage volume of the apparatus which is submerged in glycerin at the new planet is  

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