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# A team of eight dogs pulls a sled with waxed wood runners

ISBN: 9781938168000 42

## Solution for problem 6PE Chapter 5

College Physics | 1st Edition

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Problem 6PE

A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg. (a) Calculate the magnitude of the acceleration starting from rest if each dog exerts an average force of 185 N backward on the snow. (b) What is the magnitude of the acceleration once the sled starts to move? (c) For both situations, calculate the magnitude of the force in the coupling between the dogs and the sled.

Step-by-Step Solution:

a.)

Step 1 of

The magnitude of acceleration (a) starting from rest can be calculated by drawing the free body diagram for the problem and solving the force equation.

The equation for force is,

Where, F = Force exerted by eight dogs in N

f = frictional force in N

M = The total mass of 8 dogs and sled with rider in kg

Step 2 of

The Force (F) exerted by eight dogs is,

Where, Favg= average force exerted by each dog

Substituting 210 kg for Favg

= 1480 N

Step 3 of

The total mass(M) of 8 dogs and sled with rider is,

where, md= average mass of a dog in kg

ms= mass of the sled with rider in kg

Substituting 19 kg  md and 210 kg for ms

= 152+210

=  362 kg

Step 4 of

Since we are calculating the acceleration starting from rest, static friction is acting between the sled (waxed wood) and wet snow. The static frictional force f  is given by,

Where, s= coefficient of static friction between

waxed wood and wet snow

m = mass of the sled with rider in kg

g = acceleration due to gravity in ms2

Substituting 0.14 for S, 210 kg for m, 9.8 m/s2 for g

= 288.12 N

Step 5 of 8

Step 6 of 8

##### ISBN: 9781938168000

This full solution covers the following key subjects: sled, magnitude, Dogs, calculate, snow. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. Since the solution to 6PE from 5 chapter was answered, more than 5089 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 6PE from chapter: 5 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. The answer to “A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg. (a) Calculate the magnitude of the acceleration starting from rest if each dog exerts an average force of 185 N backward on the snow. (b) What is the magnitude of the acceleration once the sled starts to move? (c) For both situations, calculate the magnitude of the force in the coupling between the dogs and the sled.” is broken down into a number of easy to follow steps, and 94 words. College Physics was written by and is associated to the ISBN: 9781938168000. This textbook survival guide was created for the textbook: College Physics , edition: 1.

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