floattation

Question

the total weight of a piece of wood is 6 kg in the floating state in water 8 1/3 part remain inside the water on this floating piece of wood what maximum weight is to be put such that the whole of the piece of wood is to be

Answer 1

I think you have a typo where the "8" is and you didn't finish the sentence, so I'm going to assume that the wood starts 1/3 part inside the water and that you want it to be entirely in the water.  The important part is that you pick up the principles necessary to solve this type of problem.

 

The force of buoyancy is equal to the weight of the fluid displaced.  Thus, it is proportional to the volume displaced.  Therefore, if we triple the volume submerged, we triple the force of buoyancy.  In order for it to be stable at this point, we need to also triple the downward force of gravity.  We started with 6 kg, so we need to add 12 kg to get to 18 kg total.  If we put less than 12 kg, part of the wood will still be out.

 

If you have additional questions on this, please let me know.