4003q12.m07.smuq.093

4003q12.m07.smuq.093 - MEEG 4003 Quiz #12.m07.smuq.093 1. A...

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MEEG 4003 Quiz #12.m07.smuq.093 1. A spacecraft approaches Mars along a hyperbolic trajecto- ry SQ as shown. As it reaches Q , retrorockets are red momentarily to insert it into an elliptic orbit as indicated. If the mass of Mars is 0.1077 times of the mass of the Earth, determine for the space- craft ( a ) its speed hyp () Q v as it ap- proaches Q , ( b ) its speed ell Q v after ring of retrorockets, ( c ) the time QP t required to travel from Q to P . 2. Describe ( a ) Newton’s second law, ( b ) Newton’s law of gravitation, ( c ) central force. ------------------------------------------------------------------------------------------------------------------------------ 1. ( a ) 2 2 2 1 ( /) 1 (1 cos ) M EM E Q QQ GM GM M M r r h εθ = += + v , 2 E EE GM g R = ( ) 2 32.2 5280 22 ( )( ) 1 3960 0.1077 1 1.5cos 0 6800 (6800) ( ) Q = + v ( ) 1.946 mi/s Q = v ( b ) 2 2 ell 112 2 ( / ) M E ME P Q M rr h r = v ( ) 2 32.2 5280 ell 2 (3960) (0.1077) 11 3200 6800 (6800) (
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This note was uploaded on 11/24/2011 for the course MEEG 4003 taught by Professor Staff during the Fall '09 term at Arkansas.

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