404_Physics ProblemsTechnical Physics

404_Physics ProblemsTechnical Physics - 406 P13.63...

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406 Universal Gravitation P13.63 (a) The work must provide the increase in gravitational energy WU UU GM M r GM M r GM M Ry GM M R GM M RR y W gg fg i Ep f i E E EE == =− + + + + F H G I K J = ×⋅ F H G I K J × × × F H G I K J = 11 667 10 598 10 100 1 637 10 1 737 10 850 11 24 66 . . .. Nm kg kg kg m m MJ 2 2 ej bg (b) In a circular orbit, gravity supplies the centripetal force: GM M Mv E p E + = + 2 2 Then, 1 2 1 2 2 GM M p E = + So, additional work = kinetic energy required = × × 1 2 6 67 10 5 98 10 100 271 10 11 24 6 9 . . N m kg kg kg m J 2 2 e j e j W P13.64 Centripetal acceleration comes from gravitational acceleration. v r MG r r Tr GM T r r r c c 2 2 22 2 3 11 30 3 2 23 4 4 6 67 10 20 1 99 10 5 00 10 4 119 = ×× × = = −− π . af e j orbit km P13.65
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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