Solutions 4

Assume the pistons are frictionless and massless b a

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Unformatted text preview: shown. Assume the pistons are frictionless and massless. (b) A mouse can have a mass of 25g and an elephant a mass of 25 g and an elephant a mass of 7500 kg. Determine a value of D1 and D2 so that the mouse can support the elephant. Given: P1 P2 Equations and Assumptions: (1) (2) (3) (4) The mouse can fit on a10 cm diameter piston. Pascal's Law applies P1 = P2 P = F/A where F = the weight of the animal Solution: (a) Starting with Pascal's Law Substituting for pressure: Substituting for area: 12 4 12 4 Solving for D2: 7500 9.81 0.025 0.1 9.81 . Discussion: If the mouse is occupying a piston of diameter 10 cm, the corresponding piston on which the elephant sits must have a diameter of 54.7 m since t...
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