As a stunt coordinator with a background in physics, you have been asked to determine whether Bear can make it across the river and whether the rope will hold his weight. Bear is rather small, with a mass of only about 44.7 kg, including his equipment. The crossing distance is roughly W = 15.5 m and the rope is tied H = 3.10 m lower on the opposing the bank. Judging by the sag in the rope, its length is about 19.5 m. Calculate the tension in the rope once Bear reaches a point of equilibrium. Assume the rope does not stretch.
If Bear can make it far enough across (at least 12 m from where he starts), he can drop down onto the river bank below. How far will he travel across?