problem08_27

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

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8.27: Denote the final speeds as B A v v and and the initial speed of puck A as , 0 v and omit the common mass. Then, the condition for conservation of momentum is 0 . 45 cos 0 . 30 cos 0 B A v v v + ° = . 0 . 45 sin 0 . 30 sin 0 B A v v - ° = The ° 0 . 45 angle simplifies the algebra, in that sin , 0 . 45 cos 0 . 45 ° = ° and so the B v terms cancel when the equations are added, giving s m 3 . 29 0 . 30 sin 0 . 30 cos 0 = ° +
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Unformatted text preview: ° = v v A From the second equation, s. m 7 . 20 2 = = A v B v b) Again neglecting the common mass, , 804 . s) m . 40 ( s) m 20.7 ( s) m 3 . 29 ( ) 2 1 ( ) )( 2 1 ( K 2 2 2 2 2 2 1 2 = + = + = v v v K B A so 19.6% of the original energy is dissipated....
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