A 469 kg load is hung on awire of length 6 m, cross-sectional area 0.200 x 104 m², and Young'smodulus 8.00 x 10 TOXN/m2. What is theincrease in its length (inmm)? (Answer in 2decimal places)

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

Answered: A 469 kg load is hung on a wire of…

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 modulus 8.00 x 1010 N/m2. What is the increase in its length (in mm)? (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 50PQ

See similar textbooks

Related questions

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

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

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

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…

A: Write the given values with suitable variables. m=300 kgL=5 mA=0.25×10-4 m2E=8×1010 N Here, m is the…

Q: A copper wire of length 6.1 m, cross sectional area 1.7 7 * 10^-6 * m^2 Young's modulus 11 * 10^10…

A: Given data: Length (L) = 6.1 m Cross-sectional area (A) = 1.77×10-6 m2 Young's modulus (Y) = 11×1010…

Q: A 215-kg load is hung on a wire of length of 4.60 m, cross-sectional area 2.00 x 10 m2, and Young's…

Q: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

Q: If a pressure applied to 1 kg of water is 13.2 x 10^7 N/m^2 causes a percentage reduction in volume…

Q: A copper wire of length 4.4 m, cross sectional area 2.8 x 10 m and Young's modulus 11 x 10-0 N/m2…

Q: Assume a hand has a 1.4m shaft of bone with an average cross-sectional area of 3 [cm] ^2. What is…

Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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: A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10* m, and Young's…

Q: A 195-kg load is hung on a wire of length of 4,30 m, cross-sectional area 2.00 x 10 5 m2, and…

A: Givenm=195 kgL=4.3 mA=2×10-5 m2Y=8×1010 N/m2

Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…

A: Given data The cross-sectional area is given as Ac = 0.25 mm2. The total force at both ends is…

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 steel wire 2.5 mm in diameter stretches by 0.038 % when a mass is suspended from it. The elastic…

A: streched wire, ∆x=0.038% of l0 ∆x=0.038100=3.8*10-4 l0

Q: A string 0.002 mm in diameter and original length of 1.0 m is pulled by a force of 196 N. If the…

Q: A copper wire of length 5.9 m , cross sectional area 2.6 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: A 210-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.00 x 10-5 m2, and…

A: mass of load (m) =210 kg initial length of Wire (L0) = 3.3 m Cross sectional area of Wire (A) = 2.0…

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

Q: Calculate the percentage increase in length of a wire of diameter 2.5mm stretched by a force of 100…

A: The expression for the young’s modulus is

Q: A copper wire of length 7.9 m , cross sectional area 2 x 10-m²and Young's modulus 11 x 1010 N/m² has…

Q: solid copper cube has an edge length of 81.3 cm. How much stress must be applied to the cube to…

A: Given Initial length l1 = 81.3 cm = 0.813 m Final length l2 = 81 cm = 0.81 m Bulk modulus B =…

Q: If the human bone fractured with stress 120 N/mm 2 then the maximum tension on the bone with an area…

Q: The young modulus of a material whose elastic strain and stress are 1.53 and 169.42 N/m²…

A: The elastic strain, strain=1.53 The stress, stress=169.42 N/m2

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given Length of copper wire L = 23.179 m Tension T = 657 N Strain ∆L/L × 100 = 0.627 % ∆L/L =…

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: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

Q: Young's modulus of iron rod is 21 x 1010 N/m?. A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Given data as per question Young modulus = 21*1010 Force = 7*105 A = 0.25

Q: Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and…

A: Given : Pressure, P1 = 7.25*108 Pa Pressure, P2 = 1.01*105 Pa Change in Pressure, ∆P…

Q: A solid copper cube has an edge length of 85.5 cm. How much stress must be applied to the cube to…

A: We know, Now,

Q: A 195-kg load is hung on a wire of length of 3.40 m, cross-sectional area 2.00 x 10 5 m2, and…

A: Mass hung =195kg Length of wire =3.4m Cross section =2×10-5 m2 Young's moduls = 8×1010 N/m2

Q: A 195-kg load is hung on a wire of length of 3.80 m, cross-sectional area 2.00 10-5 m2, and Young's…

A: According to stress by strain relation , stress is defined as the product of Young's modulus to the…

Q: 19. A force of 5000N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm…

Q: 03: A wire 10m long of cross section area 1.22 cm' olongatos by 1.5 cm when 4.5 kg is suspended from…

A: Given data: The length of wire is l=10 m. Area of cross-section is A=1.22 cm2. Mass suspended is…

Q: an (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus…

A: we know that γ = F/A△L/L L=50 m A= πR2 △L= 1X10-2 m γ= 3.51x 109 n/m2 let R=r min…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given:The mass of man, m = 68.3 kgThe area of femur, A = 8 cm2 = 8×10-4 m2The length which is…

Q: How much would the volume of 2.54 cm^3 of aluminum on Earth increase if it were placed in a vacuum…

A: Given : Volume of aluminium (V) = 2.54 cm3 Pressure (P) = 1 x 10-9 Pa Bulk modulus of aluminium (B)…

Q: 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…

Q: A copper wire of length 4.4 m , cross sectional area 2.8 x 10--m²and Young's modulus 11 x 1010 N/m²…

A: Given: A copper wire of length , L=4.4 m , Cross sectional area, A= 2.8 x 10-6 m Young's modulus, E…

Q: A force of 5000 N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm and…

Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 × 10–4 m2, and Young’s…

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

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 469 kg load is hung on a
wire of length 6 m, cross-
sectional area 0.200 x 10
4 m², and Young's
modulus 8.00 x 10 TO
X
N/m2. What is the
increase in its length (in
mm)? (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

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 upright beam supports a load of 3,000 N and 2,500 cm long. The beam is compressed 200 mm by aload. Young’s modulus of the beam is 1.0x10 11 N/m 2. Calculate cross-section area of the beam.
A brass rod with a length of 1.40 m and a cross-sectional area of 2.00cm2 is fastened end-to-end to a 5N-weight. What is the stress in each rod?
The pressure ata depth of 1.0 kmin the Pacific Oceanexceeds by 10 megaPascal. If a metallicalloy whose volumeat the surface is385 cm^3 islowered at a depthof 1.0 km, by howmuch does itsvolume (m^3)decrease?Bulk modulus ofalloy = 6.0 x 10 ^10Pa
Solve the problem correctly. Show a detailed and neat solution.A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 x 10 -4 m 2 ,and Young’s modulus 8.00 x 10 10 N/m 2 . What is its increase in length?
he radius of aspnere of lead (B=4.2x101oNIm? the Surface or the egrth wnere the pressure is 1.0lx105 N/m? nte Sphere Is taken bu submarine to the deepest part of the ocean To a depth Of 1.10 x 104m wnere itis expused to a pressure is 1.25 X108 Nm. is 1000m What is tne o the sphere at the of ocean?
A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 104 m², and Young's modulus 8.00 x 1010 Nim2 what is the increase in its length (in mm)? (Answer in 2 decimal places)
20 Assume a leg has a ( 1.2 m ) shaft of bone with an average cross- sectional area of (3 cm^2) or (3*10^- 4 m^2). What is the amount of shortening when all of the body weight of ( 700 N ) is supported on this leg А. 0.55mm В. 1.5mm C. 2.08mm D. 0.15mm
For a sand rock, length 5 cm, cross section area 4 cm², water flow through the rock, viscosity of water 1 mPa.s, when pressure differential 0.5 MPa, flowing quantity 1.5 cm³/s. How much is permeability?
During heavy lifting, a disk between spinal vertebrae issubjected to a 5000-N compressional force. (a) Whatpressure is created, assuming that the disk has a uniformcircular cross section 2.00 cm in radius? (b) Whatdeformation is produced if the disk is 0.800 cm thick and hasa Young’s modulus of 1.5×109 N/m2 ?
Knowing that link DE is 1/8in. thick and 1 in. wide, determine the normal stress in the central portion of that link when (a) θ= 0, (b) θ = 90°.
5.70 The beam consists of two S18 x 70 sections that are welded together as shown. If the intensity of the uniformly distributed load is wo 15 kip/ft, calculate the maximum shear stress in the beam. Wo S18 x 70 A В +6 ft- 18 ft 6 ft
Current Attempt in Progress Incorrect. What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 x 10 mm (0.9843 x 105 in.) and a crack length of 3 x 102 mm (1.181 x 103 in.) when a tensile stress of 140 MPa (20310 psi) is applied? eTextbook and Media Hint ! GPa Save for Later Last saved 1 second ago. Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes. Attempts: 3 of 5 used 8 Submit Answer NL Que Num Ques Numeri Questic Numeric Fi Question Numeric Fill in