problem14_67

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

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14.67: a) The weight of the crown of its volume V is gV ρ w crown = , and when suspended the apparent weight is the difference between the weight and the buoyant force, . ) ( water crown crown gV ρ ρ gV fw - = = Dividing by the common factors leads to . 1 1 or water crown crown crown water f ρ ρ ρ ρ - = = + - As , 0 f the apparent weight approaches zero, which means the crown tends to float; from the above result, the specific gravity of the crown tends to 1. As , 1 f the apparent weight is the same as the weight, which means that the buoyant force is
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Unformatted text preview: negligble compared to the weight, and the specific gravity of the crown is very large, as reflected in the above expression. b) Solving the above equations for f in terms of the specific gravity, , 1 crown water f-= and so the weight of the crown would be ( 29 ( 29 ( 29 N. 2 . 12 N 9 . 12 3 . 19 1 1 =-c) Approximating the average density by that of lead for a thin gold plate, the apparent weight would be ( 29 ( 29 ( 29 N. 8 . 11 N 9 . 12 3 . 11 1 1 =-...
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