You are planning to built a log cabin and will need to pull the logs up a hill to the building site by means of a rope attached to a winch. In order to buy the rope, you need to know how strong the rope must be and decide to do a quick calculation for this. The log's weight is W = 2250 N at most, and the hill is at an angle of 30 degrees with respect to the horizontal. You estimate that the coefficient of kinetic friction between a log and the hill is 0.90. When pulling a log up the hill, you will make sure that the rope stays parallel to the surface of the hill and the acceleration of the log is never more that a = 0.80 m/s^2. How much force must the rope be able to withstand?