A string 0.002 mm in diameter and original length of 1.0 m is pulled by a force of 196 N. If the final length of the spring is increased by 2% from the original length, determine the Young's modulus(in N/m²) ? (Answer in 2 decimal places)

A string 0.002 mm in diameter and original length of 1.0 m is pulled by a force of 196 N. If the final length of the spring is increased by 2% from the original length, determine the Young's modulus(in N/m²) ? (Answer in 2 decimal places)

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 40PQ: A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force....

See similar textbooks

Related questions

Q: The pressure on a volume of liquid V= 1.6 m3 at the surface is approximately equal to the…

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

A: Length of steel wire (L) = 2 m Radius (R) = 0.3 mm Area = π×R2= π×(0.3×10-3)2 = 2.827×10-7 m2Tension…

Q: The unknown metal cube measures 4.2 x 10 ― 2 m has a stress of 9.2 x 1011 N/m 2 and a change of…

Q: 3) A 1.6 m long wire has a diameter of 0.2 cm . What is the tension force in the wire if the…

A: Given that Original length of wire L = 1.6 m Diameter D = 0.2 cm So, radius r = 0.1 cm = 0.001 m…

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: NOTE: As per bartleby guidelines we can answer only first question. For remaining questions please…

Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: The "lead" in pencils is a graphite composition with a Young's modulus of approximately 1.0 x 10°…

A: Given data: Young's modulus (Y) = 1.0×109 N/m2 Force (F) = 4.5 N Diameter (d) = 0.70 mm = 0.70×10-3…

Q: Which one of the following cannot be a definition of an elastic modulus? (A) AP -V; AV Fh B AAx FLi…

A: In the given question, We have to choose the correct option, i.e, which can not be a defination of…

Q: A wooden dowel is subjected to a shearing force of 715N on its top cylindrical face. If the dowel…

A: Shearing force F=715 N, diameter of dowel d=3cm (radius r=1.5cm), height of dowel h=11 cm and shear…

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

Q: The bulk modulus of a material is 7.24 x 1011 N/m². What fractional change in volume does a piece of…

Q: A sphere of copper has a radius of 3.00 cm and is compressed uniformly by a force of 4.00 x 10° N.…

A: Given that, Force (F)= 4× 10⁸ N Radius (r)= 0.03 m Bulk modulus (k)= 140× 10⁹ N/m² Let the final…

Q: A rod with a radius of 0.005 m and length of 2 m stretches 0.002 m when subjected to a tension force…

Q: A nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

Q: A certain fabric 50 micrometer in diameter can support a mass of 20.0 g. What is the ratio of the…

A: Mass m = 20.0 g = 2×10-2 kg radius of fabric r = (50/2)μm = 25μm = 2.5×10-5 m ultimate strength in…

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

Q: A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10 m, and Young's…

Q: A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear…

A: Given

Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: A 2.7-m-tall, 50-cm-diameter concrete column supports a 4.0×105 kg load. By how much is the column…

A: Given:Length of the column, L = 2.7 mDiameter of the column, D = 50 cmRadius of the column, R = 25…

Q: A metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from…

A: Young's modulus is a measure of the ability of a material to withstand changes in length when under…

Q: A support beam has a length of 75 cm, width 35 cm and 50 cm thickness. What is the weight which the…

A: Given: Young's modulus, Y=2.0×1011 N/m2, Initial length of the beam, l0=75 cm = 0.75 m,…

Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

A: Elongation in the wire, Young's modulus of the wire, Length of the wire, Diameter of the wire,

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

Q: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

A: Initial length of the nylon string Lo = 50 m Change in length of the nylon string ∆L = 1 cm =>…

Q: Find the density of seawater at a depth where the pressure is 460 atm if the density at the surface…

A: Pressure , P = 460 atm Density , ρ= 1100 kg/m3 Bulk modulus , B = 2.3 x 109 To find =density at…

Q: Find the diameter of a 17m (L) long steel wire that will stretch no more than 0.009m (AL) when a…

Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

A: Since Young's modulus is given by, Y = Stress/Strain Stress = Tension Force/Area = T/A Strain =…

Q: A steel sphere of diameter 3 m is sent deep of an ocean where the pressure is 29,775 N/m2. If the…

A: Given Diameter = 3m So, radius = 1.5m Pressure = 29775 N/m2 Bulk modulus = 6.00 x 106N/m2

Q: Shear Stress in terms of its fundamental dimension is O A. M/tL^2 В. M/Lt^2 Ос. MLt D. M/(L^2)(t^2)…

Q: A 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

Q: A steel wire of length 1.93 m with a circular cross-section must stretch no more than 0.240 cm when…

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

Q: Which of the following are true about the modulus of a spring? Select all that apply. It represents…

A: Modulus of spring is k Such that F = k x where F = Force x = distance Let's shake each option one…

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 7.50 mm, if the wire is…

A: Write a given values of this question. Original length of piano. L=1.35m Stretch length of piano.…

Q: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: Let the force applied by the human’s tooth be F, the length of the tooth be L, the area of…

Q: A 785 kg load is hung on a wire of length 8 m, cross-sectional area 0,200 x 104 m, and Young's…

Q: A weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young's modulus for brass is…

A: Given data: Weight of the load P=125N Length of the wire L=7.5m Radius of the wire r=0.7mm Young's…

Q: A piece of steel has a height of ten meters and a unit cross-sectional area of 5.0 m³. It supports a…

A: Given: The length of the steel is L=10 m. The cross-sectional area is A=5 m3. The mass is m=30,000…

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

Q: The normal force of the ground on the foot can reach three times a runner's body weight when the…

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

A string 0.002 mm in diameter and original length of 1.0 m is pulled by a force of 196 N. If the final length of the spring is increased by 2% from the original length,
determine the Young's modulus(in N/m2) ? (Answer in 2 decimal places)

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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 ?
Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
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.
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?
A company is testing a new material made of recycled plastic for use in construction. Figure P14.48 is a graph of the stress as a function of strain for this material. Find Youngs modulus for this material and compare your result with the data for conventional building materials listed in Table 14.1.
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?
Discuss how you might measure the bulk modulus of a liquid.
A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.
(a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?
A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10–4 m2, and Young's modulus 8.00 x 1010 N/m2. What is the increase in its length (in mm)? (Answer in 2 decimal places)
A copper wire of length 5.9 m , cross sectional area 2.6 x 10-6m2and Young’s modulus 11 x 1010 N/m2 has a 398 kg load hung on it. What is its increase in length? (g = 9.8 m/s2) ROUND TO 3 DECIMAL PLACES
The bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase of 3.91x107 N/m2? Assume that the force is applied uniformly over the surface. Round your answer to 3 decimal places.