A 9 kg block slides along a horizontal surface with an initial speed of v= 6.7 m/s. After sliding a distance of Δx = 1.9 m, the block makes a smooth transition to an inclined ramp at an angle of θ = 40° to the horizontal. Consider the coefficient of  kinetic friction between the block and the surfaces to be of 0.15 and the acceleration of gravity 9.80 m/s2. Find the distance that the block slides along the sloping surface before stopping momentarily.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
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A 9 kg block slides along a horizontal surface with an initial speed of v= 6.7 m/s. After sliding a distance of Δx = 1.9 m, the block makes a smooth transition to an inclined ramp at an angle of θ = 40° to the horizontal. Consider the coefficient of  kinetic friction between the block and the surfaces to be of 0.15 and the acceleration of gravity 9.80 m/s2.

Find the distance that the block slides along the sloping surface before stopping momentarily.
 
 
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