impulse momentum & work energy

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The conveyor belt delivers each 12kg crate to the fixed ramp atpoint A such that each crates velocity is 2.5 m/s as it starts toslide down the ramp.  If the coefficient of kinetic frictionbetween each crate and the ramp is uk=0.3, complete thefollowing. 

Develop the impulse momentum equations for the crate as it slidesdown the inclined ramp from point A to point B in the figurebelow. 

Using impulse momentum equations, derive an expression than can beused to determine the velocity of the crate for any time t as thecrate slides down the ramp.  What is the velocity of the crateas it slides off the ramp at point B. 

And lastly using the conservation of energy relationship,V1+T1+WNC=V2+T2,verify that the velocity determined in the previous step iscorrect. assume positions given in diagram

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