problem14_70

University Physics with Modern Physics with Mastering Physics (11th Edition)

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14.70: a) Let d be the depth of the oil layer, h the depth that the cube is submerged in the water, and L be the length of a side of the cube. Then, setting the buoyant force equal to the weight, canceling the common factors of g and the cross-section area and supressing units, - = = + + = + L h L L h d L h d L d h (0.65) so , (0.35) by related are and , . ) 550 ( ) 750 ( ) 1000 ( d . Substitution into the first relation gives m. 040 . 0 5.00 2 (750) (1000) (550) 0) (0.65)(100 = = = - - L L d b) The
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Unformatted text preview: gauge pressure at the lower face must be sufficient to support the block (the oil exerts only sideways forces directly on the block), and Pa. 539 m) 100 . )( s m 80 . 9 )( m kg (550 2 3 wood = = ρ = gL p As a check, the gauge pressure, found from the depths and densities of the fluids, is Pa. 539 ) s m 80 . 9 ))( m kg m)(1000 025 . ( ) m kg m)(750 040 . (( 2 3 3 = +...
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