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

Verified
Step 1
1 of 6

### Knowns:

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

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

Where $\mu_s$ is the coefficient of static friction.

The kinetic friction is directly proportional to the normal force:

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

Where $\mu_s$ is the coefficient of kinetic friction.

## Recommended textbook solutions #### Physics

1st EditionISBN: 9780133256925Walker
3,338 solutions #### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (5 more)Randall D. Knight
3,508 solutions #### Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260Mary L. Boas
3,355 solutions #### Fundamentals of Physics

10th EditionISBN: 9781118230718 (4 more)David Halliday, Jearl Walker, Robert Resnick
8,950 solutions