You want to hang an object from the ceiling of an elevator that has a maximum acceleration of \(4.0 \mathrm{~m} / \mathrm{s}^{2}\).

(a) If you hang the object with fishing line that supports \(45 \mathrm{~N}\) of force, what is the maximum inertia the object can have if the line is not to break?

(b) What combination of slowing down, speeding up, going up, and going down of the elevator causes the greatest force to be exerted on the fishing line?