Halliday, Resnick & Walker — Force and Motion-I: Problem 42

42 In earlier days, horses pulled barges down canals in the manner shown in Fig. 5-32. Suppose the horse pulls on the rope with a force of 8600 N at an angle of \(\theta = 18^\circ\) to the direction of motion of the barge, which is headed straight along the positive direction of an x axis. The mass of the barge is 9500 kg, and the magnitude of its acceleration is \(0.12 \text{ m/s}^2\). What are the (a) magnitude and (b) direction (relative to positive x) of the force on the barge from the water?