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YOU FIND A LARGE PIECE OF WOOD NEXT TO A POND AND DECIDE TO CARVE IT INTO A CUBE

ID: 1303012 • Letter: Y

Question

YOU FIND A LARGE PIECE OF WOOD NEXT TO A POND AND DECIDE TO CARVE IT INTO A CUBE OF LENGTH L. YOU TIE A STRING AROUND IT AND TIE THE OTHER END AROUND A HEAVY ROCK AND THROW IT BACK INTO THE POND. WHEN EVERYTHING COMES TO ARREST YOU NOTICE THE WOOD IS JUST UNDER THE SURFACE OF THE POND. USING THE HYDROSTATIC PRESSURE EQUATION WHAT IS THE EQUATION FOR THE FORCE ACTING ON THE BOTTOM OF THE CUBE? what is the force acting on the top of the cube? find the equation for the tension in the string. if the density of the wood is 750 k/m3 and l=1m what is the tension? pls help :)

Explanation / Answer

WHAT IS THE EQUATION FOR THE FORCE ACTING ON THE BOTTOM OF THE CUBE?

Fb = (rho_water) g L^3 = 1000 * 9.8 * 1 * 1 * 1 = 9800 N

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what is the force acting on the top of the cube?

Ft = 0

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Find the equation for the tension in the string.

T = ((rho_water) g L^3) - ((rho_wood) g L^3)

T = 1000 * 9.8 * 1 - 750 * 9.8 * 1

T = 2450 N