An adventurous archaeologist cros- ses 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 5.43). The rope will break if the tension in it exceeds 2.50 × 104 N. Our hero's mass is 90.0 kg. (a) If the angle 0 is 10.0º, find the tension in the rope. Start with a free-body diagram of the archaeologist. (b) What is the smallest value the angle 8 can have if 0 the rope is not to break?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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I An adventurous archaeologist cros-
ses 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 5.43). The rope will
break if the tension in it exceeds
2.50 × 104 N. Our hero's mass is
90.0 kg. (a) If the angle 0 is 10.0⁰,
find the tension in the rope. Start with a free-body diagram of the
archaeologist. (b) What is the smallest value the angle 0 can have if
the rope is not to break?
E
Transcribed Image Text:I An adventurous archaeologist cros- ses 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 5.43). The rope will break if the tension in it exceeds 2.50 × 104 N. Our hero's mass is 90.0 kg. (a) If the angle 0 is 10.0⁰, find the tension in the rope. Start with a free-body diagram of the archaeologist. (b) What is the smallest value the angle 0 can have if the rope is not to break? E
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