problem14_71

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

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14.71: The ship will rise; the total mass of water displaced by the barge-anchor combination must be the same, and when the anchor is dropped overboard, it displaces some water and so the barge itself displaces less water, and so rises. To find the amount the barge rises, let the original depth of the barge in the water be ( 29 ( 29 a b water a b 0 and where , m m A m m h ρ + = are the masses of the barge and the anchor, and A is the area of the bottom of the barge. When the anchor is dropped, the buoyant force
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Unformatted text preview: on the barge is less than what it was by an amount equal to the buoyant force on the anchor; symbolically, ( 29 , water steel a water water g m Ag h Ag h-= ′ which is solved for ( 29 ( 29 ( 29 m, 10 57 . 5 m 00 . 8 m kg 7860 kg . 35 4 2 3 steel a-× = = = ′-= ∆ A m h h h or about 0.56 mm....
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