Chapter SH, Problem 3.10APP

To determine

To Calculate: The acceleration of the book.

Whether the book is speeding up or slowing down.

Answer to Problem 3.10APP

  $a=5{\text{m/s}}^{\text{2}}$ ; slowing down

Explanation of Solution

Given:

Frictional force, $f=5\text{N}$

Mass of the book, $m=1\text{kg}$

Formula Used:

From Newton’s second law of motion, the net force would be:

  ${\displaystyle \sum F=ma}$

Here, m is the mass and a is the acceleration.

Calculations:

The book is sliding which means that the force on the book is balanced by the frictional force.

  $\begin{array}{l}F=f\\ ma=f\\ \left(1\text{kg}\right)\left(a\right)=5\text{N}\\ a=5{\text{m/s}}^{\text{2}}\end{array}$

As the friction is acting, the book’s speed is slowing down.

Conclusion:

Thus, the acceleration of the book is $a=5{\text{m/s}}^{\text{2}}$ .