PS1-7 - Problem Set 1 Problem 7 Problem Earth’s...

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Unformatted text preview: Problem Set 1: Problem 7. Problem: Earth’s gravitational acceleration on an object is a = − gR 2 /r 2 , where r is distance from Earth’s center, R is Earth’s radius and g is standard gravitational acceleration at the planet’s surface. (a) Compute the velocity, v , of an object launched from the North Pole with initial velocity v o as a function of v o , g , r and R . (b) For what value of v o will the object escape Earth’s gravitational pull, i.e., for what value of v o does v → as r → ∞ ? (c) Determine the value of v o computed in Part (b). Earth’s radius is R = 3960 mi. Express your answer in ft/sec. R r • v o v a .............................. . . . . . . . ............. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... .... ............................................................... . . . . . . . . ............. . . . . . . . . . . . . . . . . . . ... .......
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This note was uploaded on 10/12/2009 for the course AME 301 at USC.

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PS1-7 - Problem Set 1 Problem 7 Problem Earth’s...

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