problem07_77

University Physics with Modern Physics with Mastering Physics (11th Edition)

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7.77: Let m 18 . 0 1 = x , m 71 . 0 2 = x . The spring constants (assumed identical) are then known in terms of the unknown weight w , w kx = 1 4 . The speed of the brother at a given height h above the point of maximum compression is then found from , 2 1 ) 4 ( 2 1 2 2 2 mgh v g w x k + = or , 2 2 ) 4 ( 1 2 2 2 2 2 - = - = h x x g gh x w g k v so s m 13 . 3 )) m 90 . 0 ( 2 ) m 18 . 0 ( ) m 71 . 0 (( ) s m 80 . 9 ( 2 2 = - = v , or s m 1 . 3 to two figures. b) Setting 0 = v and solving for h , ,
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Unformatted text preview: 40 . 1 2 2 1 2 2 2 2 = = = x x mg kx h or 1.4 m to two figures. c) No; the distance 1 x will be different, and the ratio ( 29 2 m 53 . 1 ) m 53 . ( 1 1 2 1 1 2 2 1 x x x x x x + = = + will be different. Note that on a small planet, with lower g , 1 x will be smaller and h will be larger....
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  • Ratio, X1, The Unknown, The Spring, The Great Unknown

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