The maximum load that can safely be supported by a rope in an overhead hoist is 390 N. What is the maximum acceleration that can safely be given to a 27 kg object being hoisted vertically upward?
You are given the maximum load, which is in Newtons. That is the hint. Newtons is a measure of force. And you know that F=ma, and since this force must be developed from a hanging weight, you know a, which in this case is g, which is 9.8 m/s^2. So, since this hoist can handle a force of 390, what acceleration of a 27 kg mass would result in this much force? 390 = 27 * a OK?
