Question

When you push a 1.92-kg book resting on a tabletop, you have to exert a force of 2.05 N to start the book sliding. Once it is sliding, however, you can use a force of only 1.03 N to keep the book moving with constant speed. What are the coefficients of static and kinetic friction between the book and the tabletop?

Solution

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Knowns:

The maximum static friction is directly proportional to the normal force:

fs,max=μsN\begin{gather*} f_{s,max} = \mu_s N\tag{1} \end{gather*}

Where μs\mu_s is the coefficient of static friction.

The kinetic friction is directly proportional to the normal force:

fk=μkN\begin{gather*} f_{k} = \mu_k N\tag{2} \end{gather*}

Where μs\mu_s is the coefficient of kinetic friction.

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