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Ex_collision

# Ex_collision - 1D Collision(I Completely inelastic...

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1D Collision (I) Completely inelastic collision 1 1 2 2 1 2 COM: : common velocity after collis ( ion ) c c m m m m υ υ υ υ + = + Example Two sliders are moving along a frictionless track with initial velocities shown. Slider A then collides with slider B , and the two sliders are lodged by a coupling mechanism. Calculate the percent energy loss during collision. 10 m/s 2 m/s 3 Kg 5 Kg A B Sol : Given data: 3 Kg, 5 Kg, 10 m/s, 2 m/s A B A B m m υ υ = = = = Find the common velocity of the sliders after collision: ( ) 3 10 5 2 (3 5) 5 m/s A A B B A B c c c m m m m υ υ υ υ υ + = + × + × = + = Find the change in energy: 2 2 2 2 2 2 (1/ 2) (1/ 2) (1/ 2) 3 10 (1/ 2) 5 2 160 J (1/ 2)( ) (1/ 2) 8 5 100 J 60 J f i i A A B B f A B c E K K K K m m K m m E K υ υ υ Δ = Δ = = + = × × + × × = = + = × × = ⇒ Δ = Δ = − The negative sign indicates decrease in energy, confirming that energy is indeed lost after collision. The percentage can be calculated to be % loss = / 60/160 0.375 37.5% E E Δ = = = (II) General inelastic collision 1 1 2 2 1 1 2 2 C OM: m m m m υ υ υ υ + = + Example A B 5 υ

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Ex_collision - 1D Collision(I Completely inelastic...

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