An adventurous archaeologist crosses between two rock cliffs, with a raging river far below, by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 3.00 x 104 N, and our hero’s mass is 81.6 kg.  a. If the angle that the rope makes with the cliff is 75o, find the tension in the rope. b. What is the smallest value the angle can have if the rope is not to break?

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 An adventurous archaeologist crosses between two rock cliffs, with a raging river far below, by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 3.00 x 104 N, and our hero’s mass is 81.6 kg.  a. If the angle that the rope makes with the cliff is 75o, find the tension in the rope.

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

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