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# On a winter day in Maine, a warehouse worker is shoving ISBN: 9780321675460 31

## Solution for problem 102P Chapter 6

University Physics | 13th Edition

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Problem 102P

On a winter day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle ??? above the horizontal. The plank is partially covered with ice, with more ice near the bottom of the plank than near the top, so that the coefficient of friction increases with the distance ?x? along the plank: ??? = ?Ax?, where ?A? is a positive constant and the bottom of the plank is at ?x? = 0. (For this plank the coefficients of kinetic and static friction are equal: ???k = ???s = ???.) The worker shoves a box up the plank so that it leaves the bottom of the plank moving at speed ?v0 ? . Show that when the box first comes to rest, it will remain at rest if

Step-by-Step Solution:

Solution 102P Step 1 of 4: Given problem pictorially can be represented as, Step 2 of 4: Here the kinetic energy gets converted into potential energy and friction work. KE= W fric PE Since the friction force is linear in x, the friction work is quadratic in x, and so when the box comes momentarily to rest, 1mv = Amgx cos + mg x sin 2 2 where x is the distance traveled up the incline. Solving for speed v, v = Agx cos + 2g x sin …………..1

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321675460

The answer to “On a winter day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle ??? above the horizontal. The plank is partially covered with ice, with more ice near the bottom of the plank than near the top, so that the coefficient of friction increases with the distance ?x? along the plank: ??? = ?Ax?, where ?A? is a positive constant and the bottom of the plank is at ?x? = 0. (For this plank the coefficients of kinetic and static friction are equal: ???k = ???s = ???.) The worker shoves a box up the plank so that it leaves the bottom of the plank moving at speed ?v0 ? . Show that when the box first comes to rest, it will remain at rest if” is broken down into a number of easy to follow steps, and 133 words. This full solution covers the following key subjects: plank, bottom, Worker, box, Rest. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 102P from 6 chapter was answered, more than 389 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 102P from chapter: 6 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460.

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