# The maximum force that a grocery bag can withstand without ripping is 250 N. The bag is filled with 20 kg of groceries and lifted with an acceleration of 5.0 m/s^2. Do the groceries stay in the bag?

Apr 23, 2018

Yes

#### Explanation:

We calculate the force that is exerted on the bag using Newton's second law, which states that,

$F = m a$

• $m$ is the mass of the object in kilograms

• $a$ is the acceleration of the object in meters per second squared

And so, we got:

$F = 20 \setminus {\text{kg"*5 \ "m/s}}^{2}$

$= 100 \setminus \text{N}$

So, a force of $100$ newtons is exerted on the bag. Since that is less than the required $250$ newtons needed to rip the bag, then the bag doesn't rip, and so the groceries stay in the bag, due to the normal force exerted on them by the bag.