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. (Figure 1) The rope will break if the tension in it exceeds 2.50×104 N. Our hero’s mass is 80.0 kg. a)If the angle θ is 13.0 ∘, find the tension in the rope. b)What is the smallest value the angle θθ can have if the rope is not to break?

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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. (Figure 1) The rope will break if the tension in it exceeds 2.50×104 N. Our hero’s mass is 80.0 kg.

a)If the angle θ is 13.0 ∘, find the tension in the rope.

b)What is the smallest value the angle θθ can have if the rope is not to break?

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