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# A rock with mass m slides with initial velocity v0 on a

## Problem 108P Chapter 5

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 108P

A rock with mass ?m? slides with initial velocity ?v?0 on a horizontal surface. A retarding force ?F?R that the surface exerts on the rock is proportional to the square root of the instantaneous velocity of the rock (?FR? = –?kv?1/2). (a) Find expressions for the velocity and position of the rock as a function of time. (b) In terms of ?m?, ?k?, and ?v?0, at what time will the rock come to rest? (c) In terms of ?m?, ?k?, and ?v?0, what is the distance of the rock from its starting point when it comes to rest?

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