A 4.0 kg bundle starts up a 30° incline with 128 J ofkinetic energy. How far wil

Question

   A 4.0 kg bundle starts up a 30° incline with 128 J ofkinetic energy. How far will it slide up the incline if thecoefficient of kinetic friction between bundle and incline is0.30? A 4.0 kg bundle starts up a 30° incline with 128 J ofkinetic energy. How far will it slide up the incline if thecoefficient of kinetic friction between bundle and incline is0.30?    A 4.0 kg bundle starts up a 30° incline with 128 J ofkinetic energy. How far will it slide up the incline if thecoefficient of kinetic friction between bundle and incline is0.30?

Explanation / Answer

Mass of the bundle m = 4.0 kg       Kinetic Energy K.E = 128 J     coefficient of kinetic friction k = 0.30         According to Law ofConservation of Energy          W = K +U + E             = K.E + mgd sin ( 30 ) + k mgd cos(30)                      d = K.E / mg sin ( 30) + k mg cos ( 30 )                           = 128J / 4 * 9.81 m/s2 ( 0.5 +0.30 *0.866 )                            = 4.3 m

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