Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock climber of mass 58.7 kg falls when there is 42.2 m of rope out, how far will the rope stretch? X = m
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Given:
Young's modulus is a measurement of a material's capacity to resist length changes when subjected to longitudinal tension or compression. Young's modulus, often known as the modulus of elasticity, is equal to the longitudinal stress divided by the strain.
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- Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 x 10° N/m2. Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to N = strands make a rope 8.6 m long that would stretch only 1.02 cm when supporting a pair of 85-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? d = cmMany caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cmA 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x106 cm?. The wire stretches from its original length of 200.00 cm to 200.50 cm. What is the stress on the wire? A 5.0 x 10^8 N/m2 (B) 1.0 x 10^8 N/m2 (c) 5.0 x 102 N/m² D 1.0 x 10^6 N/m2
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