A 19 kg person climbs up a uniform 116 N ladder. The upper and lower ends of the ladder rest on frictionless surfaces. The bottom of the ladder is fastened to the wall by a horizontal rope that can support a maximum tension of 110 N . The angle between the horizontal and the ladder is 54◦ . 19 kg T 3.4 m 116 N 10.2 m 54◦ b Find the tension in the rope when the person is one-third of the way up the ladder. The acceleration of gravity is 9.8 m/s 2 . Answer in units of N.