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If any one can help me with this homework problem I would greatlyappreciate it:

ID: 1749524 • Letter: I

Question

If any one can help me with this homework problem I would greatlyappreciate it: A cube of wood is tethered to the bottom of a tank by a stringto hold it underwater (Densityw =1000kg/m3).  The tension in the string is20N.  Each edge of the cube is 0.2m inlength.  What is the density of the wood?
I started out with finding thearea of one side of the cube and I think it has to do with thebuoyancy force but I am not sure how to apply the twotogether
Thanks for the help inadvance! A cube of wood is tethered to the bottom of a tank by a stringto hold it underwater (Densityw =1000kg/m3).  The tension in the string is20N.  Each edge of the cube is 0.2m inlength.  What is the density of the wood?
I started out with finding thearea of one side of the cube and I think it has to do with thebuoyancy force but I am not sure how to apply the twotogether
Thanks for the help inadvance!

Explanation / Answer

The area doesn't enter into it. The tension will be thesame as the bouyant force. By Archimedes' principle,the bouyant force will be the difference in weightdensity (mass density times the acceleration of gravity) betweenthe water and the block, multiplied by the volume of theblock.
T = (0.2m)3 (1000 kg/m3 - )g Solve for , the density of the wood. Solve for , the density of the wood.