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# exam1 - EGN3353C Fluid Mechanics Spring 2010 Exam 1 LAST...

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LAST NAME:___________________________ FIRST NAME:________________ SECTION:______ INSTRUCTIONS: Closed book, closed notes, calculator allowed. 1. (5 points) You are given a crown and asked to determine whether it is made of pure gold. You find that the crown weighs 37.91 N in air and 35.96 N in water. First, derive an expression for the density of the crown. Second, assuming that ρ Water =1000 kg/m 3 and ρ Gold =19320 kg/m 3 , determine whether the crown is made of pure gold. (Assume purity if the density deviation is less than 1%.) EGN3353C Fluid Mechanics Spring 2010 Exam 1 Continue with your answer on the back of this page if necessary

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2. A car has fallen into a river and sunk to the riverbed. The car doors are rectangular with height a=0.95 m and width b=0.60 m. The water height above the top edge of the door is h=0.050 m. The pressure inside the car is taken to be atmospheric. Use ρ Water =1000 kg/m 3 and g=9.81 m/s 2 . a. (5 points) Using the direct integration approach , determine the force required to open the door, assuming that there is no water in the car, and that the driver
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