Problem 7: The length of nylon rope from which a mountain climber is suspended has a force constant of 1.55 x 10^4 N/m. Mass of his equipment is 92kg f = 2.065 Part (b) How much would this rope stretch, in centimeters, to break the climber’s fall if he free-falls 1.6 m before the rope starts to stretch? f2 = 1.460 Part (d) How much would this rope stretch, in centimeters, to break the climber’s fall if he free-falls 1.6 m before the rope runs out of slack if the rope was twice the length?

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Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: mass of climber = 88 kg Length of rope = 16 m diameter of rope = 8.5 mm radius of rope = 4.25 mm =…

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Q: You hang a 10 kg mass from the end of a rod 5 m long. You observe that the rod's length increases to…

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A: Force, F = 0.0398 N Length, L = 2.03 cm Radius, r = 0.0791 cm Y = 3.1x106 N/m2

Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

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Q: By how much does a 69.3 kg mountain climber stretch her 0.810 cm diameter nylon rope when she hangs…

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Q: After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).