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So this is the quaiton that i have problem w/:

A 4kg bundle starts up a 30 degree incline with 128J of kinetic energy. How far willl it slide up the incline if the coefficient of kinetic friction between bundle and incline is 0.3?

Because E_initial + Work = E_final and the Work done in the system in this problem is jsut the fricition force, so I have

128 + [tex]\mu[/tex]F_f = 0

128 - [tex]\mu[/tex]mg cos [tex]\theta[/tex] d = 0

since that d is what we are looking for, rearranging this equation gives me:

128 / ([tex]\mu[/tex]mg cos [tex]\theta[/tex]) = d

and d = 12.6m

however, the answer is 4.3m, did I mess up any steps above?

A 4kg bundle starts up a 30 degree incline with 128J of kinetic energy. How far willl it slide up the incline if the coefficient of kinetic friction between bundle and incline is 0.3?

Because E_initial + Work = E_final and the Work done in the system in this problem is jsut the fricition force, so I have

128 + [tex]\mu[/tex]F_f = 0

128 - [tex]\mu[/tex]mg cos [tex]\theta[/tex] d = 0

since that d is what we are looking for, rearranging this equation gives me:

128 / ([tex]\mu[/tex]mg cos [tex]\theta[/tex]) = d

and d = 12.6m

however, the answer is 4.3m, did I mess up any steps above?

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