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?