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.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter5: Newton's Laws Of Motion
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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.

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