Assignment 7 solution 2010

# Assignment 7 solution 2010 - 4 40 sin 5 n A B n B n A n A n...

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v v ) 6 . 3 03 . 0 ( ) 866 . 0 ( 03 . 0 0 0 ) 2588 . 0 )( 2 . 1 ( 81 . 9 ) 6 . 3 03 . 0 ( ) 6 . 3 03 . 0 ( 0 15 sin ) ( ) ( : v gt m m v m m impulse of principle block B block B s m v s m v / 6 . 425 / 0466 . 3 0 (a)

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091 . 0 , 768 . 12 0 v m v m B B s N t F t F t F y x . 69 . 12 ) 384 . 6 ( ) 966 . 10 ( 384 . 6 30 sin 768 . 12 ) ( 966 . 10 30 cos 768 . 12 091 . 0 ) ( 2 2 12.768 0.091 (b)
s m gh v impact After Velocity Ball gh v mv mgh mv mv V T V T impact Before Velocity Ball y y x y x / 285 . 3 55 . * 81 . 9 * 2 2 : 352 . 5 2 5 . 0 5 . 0 5 . 0 ) ( ) ( : 2 1 2 1 2 2 2 1 s m v v plate plate / 851 . 1 420 . 0 ) 285 . 3 ( 09 . 0 ) 352 . 5 ( 09 . 0 (b) Energy loss J E E E v m v m v m V T E J v m v m V T E ball x ball ball y ball plate plate ball y ball ball x ball 0838 . 0 351 . 1 ' 5 . 0 ' 5 . 0 5 . 0 ) ( 4348 . 1 ) 352 . 5 8 . 1 ( * 09 . * 5 . 0 5 . 0 5 . 0 ) ( 1 2 2 2 2 2 2 2 2 2 2 1 1

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0 ) ( t A v n A v ) ( n t x V B V A t F ext t A v ) ( n A v ) ( n t Conservation of momentum for ball on t direction: 0 ) ( 0 ) ( , ) ( ) ( t A t A t A A t A A v v v m v m Conservation of momentum along x: B n A B B n A A A A v v v m v m v m ' 6 40 sin ) ' ( 2 40 sin ) 4 ( 2 ' sin ) ' ( sin Relative velocities in n direction:

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Unformatted text preview: 4 ) ' ( 40 sin ' 5 . ) ( ) ( ) ' ( ) ' ( n A B n B n A n A n B v v e v v v v s m v v A B / 273 . 1 , 13 . 1 (a) Solution: (b) Energy loss: J E E E J v m v m V T E v m V T E B B A A A A 546 . 10 454 . 5 13 . 1 * 6 * 5 . 274 . 1 * 2 * 5 . ' 5 . 5 . ) ( 16 4 * 4 * 2 * 5 . 5 . ) ( 1 2 2 2 2 2 2 2 2 1 1...
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Assignment 7 solution 2010 - 4 40 sin 5 n A B n B n A n A n...

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