What is the greatest mass of groceries that can be lifted safely with this bag, given that the bag is raisedwith constant speed, or at an acceleration of 1.35 m/s^2?
Your groceries are in a bag with paper handles. The handles will tear off if a force greater than 56.6 N is applied to them.
The handles of the grocery bag can withstand a force of 56.6 N. Let the mass of the groceries be M. If the bag is raised at a constant speed, the force acting on the handles of the bag is 9.8*M. This has to be greater than 56.6 N for them to tear off.
9.8*M = 56.6
=> M = 5.77 kg
If the bag is raised upwards with an acceleration of 1.35 m/s^2 the force acting on the handles of the bag is M*(1.35 + 9.8). If this is equal to 56.6 N, M = 5.07 kg
The handles tear off if the mass of the groceries is greater than 5.77 kg in the first case and if it is greater than 5.07 kg in the second case.