Answered: What diameter nylon rope is used to…

What diameter nylon rope is used to support a 939 N rock climber, if the rope is 45.0 m long(L) and stretches 1.44 m? Young's Modulus for the rope is 3.58 x 108 N/m2.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 49PQ

See similar textbooks

Related questions

Q: Imagine the speed of light in another universe to be only 100 m/s. Two cars are traveling along an…

A: speed of person 1 is v1 = 110 km/h speed of person 2 is v2 = 140 km/h

Q: How much work is done (by a battery, generator, or some other source of potential difference) in…

A: Initial electric potential, Vi =8.00 V Final electric potential, Vf = -9.40V

Q: DETAILS MY NOTES ASK YOUR TEACHER An artist creates a solid sculpture made from 7.70 kg of copper.…

A: Here xf=100mVi=29.5msa=−3.10ms2 t=??…

Q: Determine the applied force required to accelerate a 3.49-kg object rightward with a constant…

Q: A 10 V battery is connected in parallel to three resistors as shown in the figure. The values of the…

A: Solution:- Given data in the question

Q: Problem Solving: Part A. 1. (a) What is the resistance of a 1.00×102 series? (b) In parallel? Draw…

Q: A spaceship travels from Mercury to Mars at a speed of 0.81c relative to the Earth. Assume Earth,…

A: Speed of spaceship (v) = 0.81 c where "c" is the speed of light Time measured by the observer on…

Q: A 3rd harmonic is being produced in a tube that is open at both ends. The tube is 3 meters long and…

A: See below

Q: What is the average power dissipated by the resistor in the follow circuit? Assume units of watts…

Q: solid conducting sphere of radius 2.00 cm has a charge of 8.92 µC. A conducting spherical shell of…

Q: Q10. One of the following graphs represents the relation between the magnetic force (F) and the ang…

Q: What is the length, in meters, of a simple pendulum, on Earth, if it has a period of 1.91 s?

Q: Which one of the following traits or behaviors is an indicator that light is a wave? O Light…

A: Light has dual characteristics of both waves and particles. Quantum theory of light explains the…

Q: An Olympic swimming pool is approximately 88,263 ft3. How many cubic meters (m3) is this? Assume…

Q: Find B at a distance R from a long straight wire Y R dB ds = dx î 0 →dxk I X

A: Page 1

Q: Q25. The intensity at a certain location is 0.0020 W/m². What is the sound intensity level at this…

Q: Wires 1 and 2 carry currents of 2A and 3A, respectively in the directions indicated in Figure a)…

Q: An LC circuit containing an inductorL0 and capacitor C0 oscillates with a maximum current of I0.…

Q: Two masses connected by a light rope are pulled across a frictionless horizontal surface by a force…

Q: E A B с

Q: To find the current through R2 why it is not (the voltage through R2/R2). Which would then look like…

A: The resistances are given as R1=15 Ω, R2=35 Ω, and R3=75 Ω V = 10 V R1=15 R3=75 Ω V=10 V

Q: For the circuit shown below, € = 15.5V, R₁ = 34.9 Ohms, R₂ = 23.20hms, and L = 70.6 H. The switch S…

A: Given:- Battery Voltage (E) = 15.5 V Resistance of (R1) = 34.9 Ω…

Q: The emission spectrum of the hydrogen atom is recorded using a diffraction grating (lattice constant…

A: To determine the minimum number of lines (N) that a diffraction grating must have to resolve the…

Q: Einstein contradicted classical Galilean relativity when he proposed that the speed of light in a…

A: It is a basic postulate of the theory of relativity that the speed of light is the same in all…

Q: ENGAGEMENT: A. Fill in the blanks for the following nuclear reactions. 1. 32 S + 4 Hen 2. + 4He'n 40…

Q: 4. DETAILS MY NOTES An object moves along the x axis according to the equation x 3.75²-2.00 +3.00,…

Q: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 5 amps. Overall Hint a. What…

A: See below

Q: The water hose at your home outputs 24 gallons of water a minute. How many cubic meters per hour…

Q: 40. UV light is invisible to the human eye, unless we use special sensors. Given the range of…

Q: Which of the following statements are correct? O Both chromatic aberration and spherical aberration…

A: Given Data: 4 Statements are given. To Determine: The correct statement.

Q: Oppositely charged parallel plates are separated by 5.10 mm. A potential difference of 600 V exists…

A: The force of an electric field between two plates can be determined by the equation: E*d = ΔV E =…

Q: DC CIRCUIT 3. Determine the current in each branch of the circuit 8.00 Ω + -T -M 5.00 Ω 3.00 Ω 1.00…

Q: Consult Multiple Concept Example 9 in preparation for this problem. A golfer, putting on a green,…

Q: A particle of mass m is projected vertically upwards with velocity vo from the surface of the Earth…

A: The initial upwards velocity: v0 The force due to gravity: F⇀1=-GmMa+z2k^ The force of friction:…

Q: A particle moving along the x-axis has its position described by the function x = (3t³+2t+1) m,…

Q: 15.0 kgkg sphere is at the origin and a 5.00 kgkg sphere is at x� = 20 cmcm. Part A At what…

Q: A radio wave has a wavelength of 2.1 meters. What is the frequency of this wave?

Q: A gas at 100° C fills volume V₁. If the pressure is held constant, by what factor does the volume…

Q: Which of the following best represents AL A R=A-B? B 4 f R R C B R

Q: Over a certain region of space, the electric potential is V = 7x - 6x²y + 8yz². (a) Find the…

Q: Sound An explosion occurs at a distance of 6.00 km from a person. How long after th explosion, does…

Q: A box of mass (2.000x10^0) kg is pushed a distance of x = (2.000x10^0) metres up a frictionless…

Q: Physics 211 - Module 1 Hands On Activities Packet 2 Activity 1.10- Introduction to Vectors Part 1 1.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Indicate the reason why crude products like gasoline, diesel and LPG are expensive

A: There are several reasons why crude oil-derived products like gasoline, diesel, and LPG (liquefied…

Q: Find the x-component of this vector: 55.1 m 2023 International Academy of Science. All Rights…

Q: Victor is standing next to a 100 W speaker at a distance of 0.5 meters. What is the intensity of…

Q: (Figure 1) shows the velocity graph of a particle moving along the x-axis. Its initial position is o…

A: Page 1

Q: What Uniform Electric Field Strength must be developed across parallel conductive plates that are…

Q: Part B What is VR at 2.12 ms? Express your answer with the appropriate units. VR HÅ Value Submit…

Q: Imagine that in another universe the speed of light is only 100 m/s. (a) A person traveling along an…

A: In this hypothetical universe where the speed of light is only 100 m/s, we can use the concept of…

Concept explainers

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).

Question

What diameter nylon rope is used to support a 939 N rock climber, if the rope is 45.0 m long(L) and stretches 1.44 m? Young's Modulus for the rope is 3.58 x 108 N/m2.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Stress and strain

VIEW

Step 2: Young's modulus of elasticity

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?
A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1109 N /m2. The disk is equivalent to a solid cylinder 0.700 cm high and 4.00 cm in diameter.
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )
Calculate the force a piano tuner applies to stretch a steel piano wire 8.00 mm, if the wire is originally 0.850 mm in diameter and 1.35 m long.
(a) A wry powerful vacuum cleaner has a hose 2.86 cm in diameter. With the end of the hose placed perpendicularly on the flat face of a brick, what is the weight of the heaviest brick that the cleaner can lift? (b) What If? An octopus uses one sucker of diameter 2.86 cm on each of the two shells of a clam in an attempt to pull the shells apart. Find the greatest force the octopus can exert on a clamshell in salt water 32.3 m deep.
A vertebra is subjected to a shearing force of 500 N. Find the shear deformation, taking the vertebra to be a cylinder 3.00 cm high and 4.00 cm in diameter.
(a) What force must be exerted by the wind to support a 2.50-kg chicken in the position shown in Figure 9.33? (b) What is the ratio of this force to the chicken's weight? (c) Does this support the contention that the chicken has a relatively stable construction? Figure 9.33
As an oil well is drilled, each new section of drill pipe supports its own weight and that of the pipe and drill bit beneath it. Calculate the stretch in a new 6.00 m length of steel pipe that supports 3.00 km of pipe having a mass of 20.0 kg/m and a 100-kg drill bit. The pipe is equivalent in stiffness to a solid cylinder 5.00 cm in diameter.
Bone has a Youngs modulus of 18 109 Pa. Under compression, it can will island a stress or about 160 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.
During heavy lifting, a disk between spinal vertebrae is subjected to a 5000-N compressional force. (a) What pressure is created, assuming that the disk has a uniform circular cross section 2.00 cm in radius? (b) What deformation is produced if the disk is 0.800 cm thick and has a Young's modulus of 1.5109N/m2 ?
A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?