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 × 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 = cm

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 × 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 = cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

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 = cm
Please answer with work part A and C
A certain wire stretches 1.2 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with six times the diameter and 12 times the length. The second wire stretches in cm:
A 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
Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.100 μm, what is the length of the fiber?
The illustrated belt is made of rubber (E= = 4 MPa) and has a thickness of 4 mm. It passes through a pulley whose diameter is 20 cm. The belt is subjected to a tension of 50 N. What must be the minimum width, L, so that the stress does not exceed 200 kPa? Answer: 10.3 cm
A sign (mass 2300 kg) hangs from the end of a vertical steel girder with a cross-sectional area of 0.010 m2. Ignore the mass of the girder itself. The elastic modulus for steel is 2.0×10^11N/m2. The stress is 2.3 x 10^6. What is the strain on the girder? It is not 1.2 x 10^-5. I know its stress is divided by the modulus. Not sure what I'm doing wrong. If the girder is 9.90 m long, how much is it lengthened?
What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's modulus of steel is 20×10^10N/m2. Express your answer in kilograms.
An 10.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m?) wire is being whirled in a circle at a constant tangential speed of 10.0 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 4.54 m long and has a radius of 3.56 x 10-3m. Find the strain in the wire.