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P5 - v k j i i k j i 10 3 6 12 55 10 10 2 4 15 3 = − =...

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Discussion 5: Name: solutions TAM212, Fall, 2003 A 3-kg object A and a 10-kg object B undergo a central impact. Before impact, v B = -10 i (m/s), and v A = 15 i (m/s) They stick together after the collision. What is their combined velocity, after the collision? and, if the collision takes 2ms, what is the average impulsive force experienced by B during the collision? No external impulsive forces, so we can write Bf B Af A Bi B Ai A m m m m v v v v L + = + = 0 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) f kg kg s m kg s m kg s m kg v i i i 10 3 / 55 / 10 10 / 15 3 + = = + i v s m f / 23 . 4 = ( ) ( ) ( ) ( ) N s x s m kg m t dt ave Bi Bf B B ave t t 28850 10 2 / 10 23 . 4 10 3 2 1 = = = = = i i F v v L F F If time: What is their combined velocity if, instead of the velocity above, A has the velocity v A = 15 i + 4 j + 2 k (m/s) before the collision? Bf B Af A Bi B Ai A m m m m v v v v L + = + = 0 ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) f kg kg s m kg s m kg s m kg v k j i i k j i 10 3
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Unformatted text preview: v k j i i k j i 10 3 / 6 12 55 / 10 10 / 2 4 15 3 + = + + − = − + + + ⇒ ( ) s m f / 46 . 92 . 23 . 4 k j v + + − = Discussion 5: Name: TAM212, Fall, 2003 A 3-kg object A and a 10-kg object B undergo a central impact. Before impact, v B = -10 i (m/s), and v A = 15 i (m/s) They stick together after the collision. What is their combined velocity after the collision? and, if the collision takes 2ms, what is the average impulsive force experienced by B during the collision? If time: What is their combined velocity if, instead of the velocity above, A has the velocity v A = 15 i + 4 j + 2 k (m/s) before the collision?...
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