ENRICHED FLUID MECHANICS TEST A

ENRICHED FLUID MECHANICS TEST A - NAME SPH3U3/6 FLUID...

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NAME________________________________ SPH3U3/6 FLUID MECHANICS TEST A FULL SOLUTION : Answer all problems with COMPLETE STATEMENTS on the LEGAL SIZE paper provided. 1) ( 3K , 1C ) What is the minimum area of a block of ice ρ i c e k g m = 9 1 7 3 which is 30 cm thick floating in sea water ρ s e a w a t e r k g m = 1 0 2 0 3 that will hold up a polar bear having a mass of 550 kg ? 2) ( 5K , 1C ) A cylinder of diameter 10 cm is connected with a tube to one side of a mercury manometer ρ H g k g m = 1 3 6 0 0 3 (see the diagram to the right). What is the difference in the heights of the two columns when a 400 kg mass is placed on the piston of the cylinder? Assume that the atmospheric pressure is 1 0 1 3 . k P a . 3) In a hydraulic jack , the small piston has a diameter of 3 cm while the large piston has a diameter of 21 cm . A load of mass 300 kg is raised 3 cm . Assume that the load is placed on the large piston. a) ( 3K , 1C ) Find the magnitude of the input force required to lift the load. b) ( 2K , 1C ) Find how far the small piston must move in order for the load to be raised 3
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