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?

1 Answer
Apr 23, 2018

Yes

Explanation:

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

#F=ma#

  • #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 \ "kg"*5 \ "m/s"^2#

#=100 \ "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.