A block of mass 14.2 kg is sliding at an initial velocity of 7.65 m/s in the positive x-direction. The surface has a coefficient of kinetic friction of 0.193. (Indicate the direction with the signs of your answers.) It gives a hint as follows: (a)  Find the normal force and apply the relation between the normal force and the kinetic friction force. (b)  Apply the x-component of Newton's second law. (c)  Solve for the displacement using a kinematic equation.

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
Problem 61P
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A block of mass 14.2 kg is sliding at an initial velocity of 7.65 m/s in the positive x-direction. The surface has a coefficient of kinetic friction of 0.193. (Indicate the direction with the signs of your answers.)

It gives a hint as follows:

(a)

 Find the normal force and apply the relation between the normal force and the kinetic friction force.

(b)

 Apply the x-component of Newton's second law.

(c)

 Solve for the displacement using a kinematic equation.

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