A box with mass m = 1.5 kg is sliding with a speed of 4.0 m/s on a horizontal surface. When at x = 0, it encounters a rough section where the frictional force varies according to the equation f(x)=−(10+40x)f(x)=−(10+40x) where ff is in newtons and x is in meters. How far does this box slide before stopping?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section: Chapter Questions
Problem 38P: Two blocks are connected by a light string that passes over a frictionless pulley as in Figure...
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A box with mass m = 1.5 kg is sliding with a speed of 4.0 m/s on a horizontal surface. When at x = 0, it encounters a rough section where the frictional force varies according to the equation f(x)=−(10+40x)f(x)=−(10+40x) where ff is in newtons and x is in meters. How far does this box slide before stopping?

 

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