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

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1 D Collision (I) Completely inelastic collision 11 2 2 1 2 COM: ( ) : common velocity after collision cc mm m m υ υυ += + 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. Sol : Given data: 3 Kg, 5 Kg, 10 m/s, 2 m/s ABA B === = 10 m/s 2 m/s 3 Kg 5 Kg A B Find the common velocity of the sliders after collision: () 31 0 52 ( 3 5 ) 5 m / s AA BB A B c m m + ⇒× +×= + ⇒ = Find the change in energy: 22 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 fi iA AB B fA B c EK KK Km m m 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% EE = = (II) General inelastic collision COM: + Example Spheres A of mass m and B of mass 2 m are traveling toward each other with initial speeds of 5 and , respectively, as shown. Sphere
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Ex_collision - 1-D Collision (I) Completely inelastic...

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