A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional area cm2 0.15, if you know that the Junk modulus of iron is 200GPa, then the elongation that occurs in the wire is 4.9 cm true

A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional area cm2 0.15, if you know that the Junk modulus of iron is 200GPa, then the elongation that occurs in the wire is 4.9 cm true

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 73AP: Two thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m...

See similar textbooks

Related questions

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

Q: Normal forces of magnitude 1.0 × 106 N are applied uniformly to a spherical surface enclosing a…

Q: A 4.0 m steel beam with a cross sectional area of 1.0 x 10-2 m² and a Young's modulus of 2.0 x 1011…

A: Given:- The length of the steel beam L = 4 m The cross-sectional area of the beam is A = 1.0 x…

Q: A wire of 2.0000 m length and 1.0 mm diameter is suspended from the ceiling. Hanging a 4.500 kg…

A: Original length L = 2.0000 m Diameter of wire d = 1.0 mm Radius of wire r = d/2 = 1.0 / 2 mm = 0.5…

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

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: 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 metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

Q: A copper wire of length 8.7 m , cross sectional area 1.3 x 10-6m2and Young’s modulus 11 x 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 horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall.A 1200 kg object is…

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A: Write the expression for young’s modulus.

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

A: Given Data: Mass, Wire length, Cross-sectional area, Young’s modulus, Standard Data Used:…

Q: A force of 25ON is applied to a steel wire of length 1.5m and diameter 0.60 mm. Calculate the…

A: Given Force F = 250 N Length L = 1.5 m Diameter = 0.6 mm Radius r = 0.6/2 = 0.3 mm = 0.3 × 10-3 m

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

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: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an…

A: Given: L = 3.1 cm = 3.1 x 10-2 m radius, r = 0.11 mm = 0.11 x 10-3 m l = 0.1 mm = 1 x 10-4 m Y =…

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 large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

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 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 solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to…

Q: A spider of mass 6.3 10-4 kg hangs from a 70.9 cm long thread whose diameter is 2.0 10-3 mm.…

Q: A 28.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.40…

A: Y=mg/A∆L/L =mgLA∆L∆L=mgLYA

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: GivenM= 68.3 kgA =8.00 cm2 =8.00 ×10-4 m2uncompressed length (L) = 50.4 cm = 50.4 × 10-2 mYoung's…

Q: A solid body of mass 200kg hanging from a steel. Wire 5m long, and cross section 0.08 cm^2. The wire…

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/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

Q: Consider a cylindrical cable with a hanging weight suspended from it. a)When the mass is removed,…

A: Young modulus is the ratio between stress and strain. It is parameter of stiffness of a material.

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: The ends of a uniform wire of cross-sectional area 10 *m and negligible mass are attached to fixed…

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

Q: A 1.0 x 10-3 kg spider is hanging vertically by a thread that has a Young’s modulus of 4.5 x 109 N/m…

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 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80…

A: Given data: Length (L) = 22.0 m Cross sectional area (A) = 2.01 × 10-3 m2 Mass (m) = 3.80 × 103 kg…

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 is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

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: 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 man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

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

I need the answer as soon as possible

A body of mass 500 kg is suspended at the
free end of an iron wire of length 3 m and
cross-sectional area cm2
0.15, if you know that the Junk modulus of
iron is 200GPA, then the elongation that
occurs in the wire is
4.9 cm
true
false

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

Can Young’s modulus have a negative value? What about the bulk modulus?
Review the relationship between stress and strain. Can you find any similarities between the two quantities?
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?
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?
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 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.
Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?
A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and supported by a vertical string at the other end. The bar has a length of 50.0 cm and is used to support a hanging block of weight 400.0 N from a point 30.0 cm from the wall as shown in Figure P14.81. The string is made from a material with a tensile strength of 1.2 108 N/m2. Determine the largest diameter of the string for which it would still break. FIGURE P14.81
Two thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m long and has cross-sectional area 9.1mm2 . If a 10,000N tensile force is applied at each end of the combination, find: (a) stress in each rod; (b) strain in each rod; and, (c) elongation of each rod.
The keystone of an arch is the stone at the top (Fig. P14.9). It is supported by forces from its two neighbors, blocks A and B. Each block has mass m and approximate length L. What can you conclude about the force exerted by each block, FA and FB, for the keystone to remain in static equilibrium? That is, show that the equilibrium conditions are satisfied by the components of the forces FAx, FAy, FBx, and FBy. Assume the arch is symmetric. FIGURE P14.9
A steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?
The bulk modulus of a material is 1.01011N/m2 . What fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase of 107N/m2 ? Assume that the force is applied uniformly over the surface.