   # A sled of mass m is given a kick on a frozen pond. The kick imparts to the sled an initial speed of v . The coefficient of kinetic friction between sled and ice is μ k . Use energy considerations to find the distance the sled moves before it stops. ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 8, Problem 8.13P
Textbook Problem
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## A sled of mass m is given a kick on a frozen pond. The kick imparts to the sled an initial speed of v. The coefficient of kinetic friction between sled and ice is μk. Use energy considerations to find the distance the sled moves before it stops.

To determine

The distance that the sled moves before it stops.

### Explanation of Solution

Given info: The initial speed of the sled is v , the coefficient of kinetic friction between sled and ice is μk .

The formula of the work done against kinetic friction is,

w=μkmgd (1)

Here,

μk is the coefficient of kinetic friction between sled and ice.

m is the mass of sled.

g is the acceleration due to gravity.

d is the distance that the sled moves.

According to work-energy theorem,

w=12mv1212mv22 . (2)

Here,

v1 is the initial speed of sled.

v2 is the final speed of sled

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