QL-vYGWBPA7.pdf - 1 s When two objects stick together after...

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9/17/2012 1 square5 When two objects stick together after the collision, they have undergone a perfectly inelastic collision f i i v m m v m v m ) ( 2 1 2 2 1 1 + = + f i v m m v m ) ( 0 2 1 1 1 + = + square5 What amount of KE lost during collision? J s m kg v m v m KE i i before 6 2 2 2 2 2 1 1 10 25 . 1 ) 50 )( 1000 ( 2 1 2 1 2 1 × = = + = J s m kg v m m KE f after 6 2 2 2 1 10 50 . 0 ) 20 )( 2500 ( 2 1 ) ( 2 1 × = = + = J KE lost 6 10 75 . 0 × = Δ lost in heat/”gluing”/sound/… square5 Both momentum and kinetic energy are conserved square5 Typically have two unknowns square5 Solve the equations simultaneously 2 2 2 2 1 1 2 2 2 2 1 1 2 2 1 1 2 2 1 1 2 1 2 1 2 1 2 1 f f i i f f i i v m v m v m v m v m v m v m v m + = + + = + square5 Using previous example (but elastic collision is assumed) s m kg s m kg s m kg v m v m P i i before × = - + = + = 4 2 1 1 1 10 0 . 2 ) 20 )( 1500 ( ) 50 )( 1000 ( s m v s m v f f 1 . 31 7 . 26 2 1 + = - = For perfectly elastic collision: J J J v m v m KE i i before 6 5 6 2 2 2 2 1 1 10 55 . 1 10 3 10 25 . 1 2 1 2 1 × = × + × = + = 2 2 2 2 1 1 6 2 2 1 1 4 2 1 2 1 10 55 . 1 10 0 . 2 f f f f v m v m J v m v m s m kg + = × + - =
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