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A 90 kg sofa sits stubbornly on the wrong side of your living room. If the coefficient of static friction between the sofa and your carpeting is 0.2, find the amount of force it will take to budge the...

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A 90 kg sofa sits stubbornly on the wrong side of your living room. If the coefficient of static friction between the sofa and your carpeting is 0.2, find the amount of force it will take to budge the sofa to start it on its way across the room?
Answered Same Day Dec 20, 2021

Solution

Robert answered on Dec 20 2021
126 Votes
Solution:
Given,
Mass of the sofa,
Friction coefficient,
Let be the frictional force and be the force required to move the sofa.
Balancing the forces,
Now the frictional force will be,
So, from equation (2)
Required force will be,
Carpet
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