Calculate the Young's modulus for the given wire when a load of 2000 N is hung from thewire? The stretched length of the wire is 6.50×10 m and the cross-sectional area of thewire is 1 cm? and the original length of the wire 4.00 m.(a) 1.23 Pa(b) 1.23x1010 Pa(c) 0.002 x1010 Pa(d) 1.23 x102 Pa

The Young's modulus is given by Y = F LA l where, F is the force, L is the original length, A is…

Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The stretched length of the wire is 6.50×10³ m and the cross-sectional area of the wire is 1 cm² and the original length of the wire 4.00 m. (a) 1.23 Pa (b) 1.23×10º Pa (c) 0.002 ×101º Pa (d) 1.23 x10" Pa

Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The stretched length of the wire is 6.50×10³ m and the cross-sectional area of the wire is 1 cm² and the original length of the wire 4.00 m. (a) 1.23 Pa (b) 1.23×10º Pa (c) 0.002 ×101º Pa (d) 1.23 x10" Pa

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 85PQ

See similar textbooks

Related questions

Q: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

Q: A square plate is 2.1 × 102 m thick, measures 4.5 × 10-2 m on a side, and has a mass of 7.2 × 102…

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

Q: A 50.0 kg object is hung from the end of a wire of cross-sectional diameter of 1.12 mm. The wire…

A: Given: m=50kg d=1.12mm r=0.56×10-3m l=200cm=200×10-2m=2m ∆l=0.5cm=0.5×10-2m

Q: A 18 cm long tendon was found to stretch 5.4 mm by a force of 14.0 N. The tendon was approximately…

Q: An aluminum specimen 15 in long and in in diameter is subjected to tensile stress. The new length of…

Q: Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa.…

Q: A leg has 1.4 m shaft of bone with an average cross sectional area of 3x10-4 m². What is the amount…

Q: Problem 12: Consider the effect of wires hung on poles in which the left wire made an angle 29°…

Q: Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone…

A: Given: A femur bone of an effective diameter 2.5 cm and it's Young's modulus = 1.5 × 1010 N/m2.…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the…

A: The length of the tendon is l = 15.9 cm. The force applied on the tendon is F = 18.0 N. The average…

Q: A solid copper cube has an edge length of 86.7 cm. How much stress must be applied to the cube to…

Q: A 115 m long steel cable with a cross-sectional area of 1.13 x 10-4 m2 is subjected to a tensile…

A: Given- Length L= 115 m Cross-sectional area A= 1.13 x 10-4 m2 Tensile force F= 565 N

Q: A wire having young's modulus 1.2 x 1011 N/m2 is subjected to the stress of 2.4 x 107 N/m2. If the…

A: Given data : Young's modulus (Y)=1.2×1011 N/m2 Tensile stress Mgπr2=2.4×107 N/m2…

Q: An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m…

A: The change in length for aluminum is, ∆lAl=FlAYAl =49.84.3π2.5×10-3227×1010…

Q: Bone has a Young's modulus of about 18 ✕ 109 Pa. Under compression, it can withstand a stress of…

A: Given, Stress = 157× 106 pa L = 0.45 m Y= 18 × 109 pa

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm. By how much (in…

Q: A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the…

A: Write the given value of this problem: Diameter of wire(d)=0.5 mm or 0.5×10-3mLength of wire(L)=120…

Q: A steel rod 55 cm long has a diameter of 30.0 cm. The compressive strength (the maximum stress it…

Q: A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. The board has a…

A: Given : Mass of diver = 100 kg Weight (F) = 100 *9.8 = 980 N Dip in board (x) = 15 cm = 0.15m Width…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s=…

A: The slope of the stress-strain graph gives the Young's modulus of the material.

Q: A 180-kg load is hung on a wire of length of 4.50 m, cross-sectional area 2.000 x 10-5 m2, and…

A: Given data: Mass (m) = 180 kg Length (L) = 4.50 m Cross sectional area (A) = 2.000×10-5 m2 Young…

Q: A material rod that is 4.00 m long and 0.50 cm2 in cross- section area is found to stretch 0.20 cm…

A: The Young's Modulus, Y=Fl0A∆l

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

Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the
wire? The stretched length of the wire is 6.50×10 m and the cross-sectional area of the
wire is 1 cm? and the original length of the wire 4.00 m.
(a) 1.23 Pa
(b) 1.23x1010 Pa
(c) 0.002 x1010 Pa
(d) 1.23 x102 Pa

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 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 ?
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?
The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27
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?
Alarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?
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 copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length L and cross-sectional area 1.0 cm2. The compound structure is pulled on each side by two forces of equal magnitude 6.00 104 N (Fig. P14.57). Find the length L of the steel rod if the elongations (L) of the two rods are equal. Use the values Ysteel = 2.0 1011 Pa and YCu = 1.1 1011 Pa. FIGURE P14.57
In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy Center was under a tension of 9.30 103 N. Assume the cable has a diameter of 2.30 era and an initial length of 8.00 m before the plane is suspended on the cable. How much longer is the cable when the plane is suspended on it?
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 uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?
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?