A mass m = 12 kg is pulled along a horizontal floor with NO friction for a distance d =6.6 m. Then the mass is pulled up an incline that makes an angle θ = 26° with the horizontal and has a coefficient of kinetic friction μk = 0.45. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 26° (thus on the incline it is parallel to the surface) and has a tension T =49 N. With work and conservation of energy, how far up the incline does the block travel before coming to rest? (Measured along the incline.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
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A mass m = 12 kg is pulled along a horizontal floor with NO friction for a distance d =6.6 m. Then the mass is pulled up an incline that makes an angle θ = 26° with the horizontal and has a coefficient of kinetic friction μk = 0.45. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 26° (thus on the incline it is parallel to the surface) and has a tension T =49 N.

With work and conservation of energy, how far up the incline does the block travel before coming to rest? (Measured along the incline.) 
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