Chapter 4.2, Problem 19PP

To determine

Whether the bag holding groceries can hold it without ripping off.

Answer to Problem 19PP

Yes.

Explanation of Solution

Given:

The mass of the groceries in the bag, $m=15\text{ kg}$

It is lifted from the counter at an acceleration of $a=7.0{\text{m/s}}^{\text{2}}$ .

Maximum force that the bag can withstand, $F{\max }_{}=230\text{}\text{N}$

Formula used:

From Newton’s Second law of motion:

  $F_{net}=ma$

Where, a is the acceleration, m is the mass and $F_{net}$ is the net force.

Calculation:

The force exerted by the groceries on the bag can be determined by using Newton’s second law.

  $\begin{array}{c}{F}_{net}=15\times 7\\ =105\text{N}\end{array}$

As this force is less than the maximum force that the bag can with stand, therefore, the bag can withhold the groceries without ripping off.

Conclusion:

Yes, the bag can withhold the groceries without ripping off.