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A 5.00 kg chunk of ice is sliding at 12.0 m/s on thefloor of an ice-covered vall

ID: 1744889 • Letter: A

Question

A 5.00 kg chunk of ice is sliding at 12.0 m/s on thefloor of an ice-covered valley when it collides with and sticks toanother 5.00 kg chunk of ice that is initially at rest. (Seethe figure below (Intro 1 figure) .)Since the valley is icy, there is no friction. a)After the collision, how high above the valleyfloor will the combined chunks go? (Hint: Break thisproblem into two parts-the collision and the behavior after thecollision-and apply the appropriate conservation law to eachpart.)                               H=          m A 5.00 kg chunk of ice is sliding at 12.0 m/s on thefloor of an ice-covered valley when it collides with and sticks toanother 5.00 kg chunk of ice that is initially at rest. (Seethe figure below (Intro 1 figure) .)Since the valley is icy, there is no friction. a)After the collision, how high above the valleyfloor will the combined chunks go? (Hint: Break thisproblem into two parts-the collision and the behavior after thecollision-and apply the appropriate conservation law to eachpart.)                               H=          m a)After the collision, how high above the valleyfloor will the combined chunks go? (Hint: Break thisproblem into two parts-the collision and the behavior after thecollision-and apply the appropriate conservation law to eachpart.)                               H=          m

Explanation / Answer

Given :             m1 = 5.00 kg             u1   = 12.0 m /s             m2 = 5.00 kg             u2   = 0 m /s As the particles stick together after colision , Finalvelocity after collision is :           v    = ( m1 u1 + m2 u2 ) / (m1 +m2)                 = ( 5* 12.0 + 0 ) / ( 5 + 5)                 = 60 / 10   =   6 m/s We know that :          h  = v2 / 2g               = 36 / ( 2* 9.8)             = 1.837   m Hope this helps u!
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