# A piece of ice slides from rest down a rough 33.0 ? incline in twice the time it takes to slide...

## Question:

A piece of ice slides from rest down a rough 33.0{eq}^{\circ} {/eq} incline in twice the time it takes to slide down a frictionless 33.0{eq}^{\circ} {/eq} incline of the same length. Find the coefficient of kinetic friction between the ice and the rough incline.

## Sliding down the rough and frictionless inclines.

The ice takes longer time sliding down the rough incline than sliding down the frictionless incline. We normally draw a free-body diagram to express or list what forces are acting on the ice. From here, we can find the accelerations in both cases. To find the relation between these two accelerations, we apply the equation of motion for constant acceleration. Then, we can solve for the coefficient of kinetic friction.

## Answer and Explanation: 1

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Suppose the length of the incline is {eq}l {/eq}. The ice takes twice the time sliding down the rough incline than that down the frictionless...

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Chapter 11 / Lesson 22The coefficient of kinetic friction can be a difficult concept. This lesson goes over what it is, when it's used, and how to work problems involving this coefficient.