5.56 •* An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. P5.56). The rope will break if the tension in it exceeds 2.50 ×x 10ª N, and our hero's mass is 90.0 kg. (a) If the angle 0 is 10.0°, find the tension in the rope. (b) What is the smallest value the angle 0 can have if the rope is not to break? Figure P5.56

5.56 •* An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. P5.56). The rope will break if the tension in it exceeds 2.50 ×x 10ª N, and our hero's mass is 90.0 kg. (a) If the angle 0 is 10.0°, find the tension in the rope. (b) What is the smallest value the angle 0 can have if the rope is not to break? Figure P5.56