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 theincrease in its length (in mm)? (Answer in 2 decimal places)

Answered: Image /qna-images/answer/51fc98c5-1f3a-41d1-bf18-d541f6888126.jpg

Answered: A 686 kg load is hung on a wire of…

A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10 m, and Young's modulus 8.00 x 1010 Nm 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 57PQ: A copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length...

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: 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: 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: Young's modulus of iron rod is 21 × 1010 N/m2. A force of 7.0 × 105 N is applied to a 1.5-m length…

Q: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

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: 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: 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 copper wire of length 2.0 m, cross sectional area 7.1 × 10−6 m2 and Young's modulus 11 × 1010 N/m2…

A: The mass of copper,

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: Your client asks you to construct an accent for his house. You use an iron wire, 0.75m long and…

A: Solution given data l = 0.75m A = 2.75×10-3 cm2 E = 21 × 1010 Pa

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: Compute the decrease in volume of 2.5 x 104 m³, of mercury when subjected to a pressure of 20 x 105…

A: Formula for bulk modulus can be written as, K = -PV∆V ----> Change in…

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: A brass wire with Young's modulus of 92.0 GPa is 2.36 m long and has a cross-sectional area of 5.00…

A: Answer:- Given Young modulus of elasticity (Y) = 92.0 Gpa = 92 × 109 Pascal Original length (L) =…

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: A 10.2 m long wire with a cross-sectional area of 0.126 cm2 stretches by 0.196 cm when a tensile…

A: The given values are, L=10.2 mA=0.126 cm2=0.126×10-4 m2∆L=0.196 cm=0.196×10-2 mF=6250 N

Q: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

Q: A copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

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: The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean.…

A: Given: The increase in pressure is 1.0×104 N/m2 per meter. The bulk modulus of Pyrex is 2.6×1010…

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

Q: The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of…

A: Let P be the pressure, B be the bulk modulus of the chamber, V be the volume.Write the expression…

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: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by 0.196 cm when a tensile…

A: The young's modulus of the material is a fundamental property that depends upon the temperature and…

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 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: Determine the volume contraction of a solid copper cube, 10cm on an edge, when subjected to a…

A: The bulk modulus is given by

Q: How much would the volume of 2.44 cm of aluminum on Earth increase if it were placed in a vacuum…

Q: A 10Kg mass is attached to one end of a copper wire 3m long and 1mm in diameter. Calculate the…

A: Let F be the force on the wire, D be its diameter, Y be the Young’s modulus.Write the expression for…

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 brass wire with Young's modulus of 92.0 GPa is 2.36 m long and has a cross-sectional area of 5.00…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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 wire has a diameter of 0.01 m and the original length of 3 m. The string is pulled by a force of…

A: Young's modulus is given by, Y = (F/A)/(dL/L) here, F = Force applied on string = 467 N A =…

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 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 hydraulic press contains 0.25 m3 of oil. Find the decrease in the volume of the oil when it is…

A: Let the Bulk modulus of oil is given by B. Let the change in pressure is given by ∆p. Let the change…

Q: A copper wire of length 3-m and 1-mm diameter is subjected to a tension of 5-N. Calculate the…

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

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: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

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 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)

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 3

VIEW

Step by step

Solved in 3 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

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?
Discuss how you might measure the bulk modulus of a liquid.
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.
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 90-kg mountain climber bangs from a nylon rope and stretches it by 25.0 cm. If the rope was originally 30.0 m bog and its diameter is 1.0 cm, is Young’s modulus for the nylon?
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.
Calculate the pressure due to the ocean at the bottom of the Marianas Trench near the Philippines, given its depth is 11.0 km and assuming the density of sea water is constant all the way down. (b) Calculate the percent decrease in volume of sea water due to such a pressure, assuming its bulk modulus is the same as water and is constant. (c) What would be the percent increase in its density? Is the assumption of constant density valid? Will the actual pressure be greater or smaller than that calculated under this assumption?
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
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?
Is surface tension due to cohesive or adhesive forces, or both?
The small piston of a hydraulic lift (Fig. P15.6) has a cross-sectional area of 3.00 cm2, and its large piston has a cross-sectional area of 200 cm2. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0 kN? Figure P15.6
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