A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same force. If the diamond rod stretches by 1.40 x 10-6 m, by what amount (in m) will the tungsten rod stretch? Young's modulus for diamond = 1.22 x 1012 N/m2; for tungsten = 3.60 × 1011 N/m2. m

A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same force. If the diamond rod stretches by 1.40 x 10-6 m, by what amount (in m) will the tungsten rod stretch? Young's modulus for diamond = 1.22 x 1012 N/m2; for tungsten = 3.60 × 1011 N/m2. m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out Young’s modulus for this metal.

Q: If the shear stress in steel e 2.5 cm in diameter. 196.35

Q: )A strand of dragline silk is 6 um about in diameter, about 10% the diameter of a human hair. What…

Q: A 100 N picture hangs from a nail in the wall. The diameter of the nail is 3.00 mm. The shear stress…

A: Write the given values with the suitable variables. F=100Nd=3 mm=3×10-3 m Here, F is the force and d…

Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters. If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: 3. A copper wire is 1.0 m long and its diameter is 1.0 mm (Young's modulus for Cu, Ycu = 11 x 1010…

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A: The strain in the wire is strain=LΔL=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…

Q: Consider a copper wire with cross-sectional area 4 mm?. The Young's modulus for copper is 1.1 × 1011…

Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

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: Asolid copper cube has an edge length of 85.0 cm. How much stress must be applied to the cube to…

A: Here in this Question The Edge length of the copper cube is given to be 85.0 cm and it has been…

Q: What hanging mass will stretch a 2.0-mm-long, 0.59-mmmm-diameter steel wire by 1.2 mmmm ? The…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

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: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x107 N/m². If a rock…

A: A material's ability to withstand length changes under longitudinal tension or compression is…

Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

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: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

A: Given: Diameter,d=10.5mm=10.5×10-3mRadius,r=5.25mm=5.25×10-3mYoung's…

Q: What is the compressive stress F/A on a woman's feet, in units of kilopascals (kPa) , if the woman's…

A: Given Data: The mass of a woman is, m=52.0 kg The area of each shoe is, A=185.0 cm2 The effective…

Q: a) Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive…

A: Write the given values with the suitable variables. P=250 kN=250×103 Nb=0.12 md=0.05 mt=0.003 m…

Q: A femur bone of length 30 cm and diameter 2.5 cm is subjected to a compressive tress of 1.5 *10…

A: Given: Stress σ=1.5×108N/m2Young's modulus (Y)=1.5×1010N/mLength L=30cmDiameter d=2.5cm

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 solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

Q: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

Q: Humans can bite with a force of approximately 791 N. If a human tooth has the Young's modulus of…

A: The change in the tooth's lenght is 7.23×10-6 m.

Q: Three liquids that will not mix are poured into a cylindrical container. The volumes and densities…

Q: solid copper cube has an edge length of 89.4 cm. How much stress must be applied to the cube to…

Q: 2. The breaking stress of copper is 210 MPa. What is the maximum force that can be applied to a…

A: Given, Breaking the stress of copper, σb=210MPaσb=210×106Pa Diameter, d=1mmd=1×10-3m The braking…

Q: 0.3 m /TM 10 kg 0.3 m /TM 5 kg

A: Given data m1=5 kgm2=10 kgA=0.05 m2Y=1.1×1011 N/m2 When a weight is suspended through a wire a…

Q: Q20 A plastic dowel has a Young's Modulus of 1.50 ✕ 1010 N/m2. Assume the dowel will break if more…

A: Given Young's modulus Y=1.5×1010 N/m2 maximum stress Emax=1.5×108 N/m2 Diameter d=2.30cm Radius…

Q: What is the proportional limit? O None of these answers O 37,540 psi O 30,000 psi

A: Proportional limit is the the maximum stress for which graph is linear 40,000 psi

Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

Q: A solid copper cube has an edge length of 85.9 cm. How much stress must be applied to the cube to…

A: Given: length of cube l = 85.9 cmfinal length =86cmchange in length ∆l = 86-85.9 = 0.1 cmBulk…

Q: An aluminium (p = 2.7g/cm³) wire is suspended from the ceiling and hangs vertically. How long must…

A: Given that :Density of aluminium wire, ρ=2.7g/cm3Stress at upper end, σt= 8×107 N/m2Here we need to…

Q: An 11.2-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

Q: The radius of a copper 4 mm. What force is required to stretch the wire by 20% of its length,…

A: To find-Force required (F)=?Given-Elastic limit is not exceeded.Radius of copper wire (r)=4 mm…

Q: A stainless-steel orthodontic wire is applied to a tooth. The wire has an unstretched length of 3.62…

A: Given Data The length of the wire is L0 = 3.62 cm. The radius of the wire is r = 0.13 mm. The…

Q: A specimen with cylindrical shape was subjected to tensile test. Please plot the stress vs. strain…

A: We know, Stress= Weight/ Area Strain = Change in length/ (Original Length) Young Modulus = Stress/…

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 diamond rod and a tungsten rod have the same length and diameter and are subjected to the same force. If the diamond rod stretches by
1.40 x 10-6 m, by what amount (in m) will the tungsten rod stretch? Young's modulus for diamond = 1.22 x 1012 N/m2; for
tungsten
= 3.60 x 1011 N/m2.

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

Problem 4: Suppose a piano tuner stretches a steel piano wire 5.5 mm. The wire was originally 0.95 mm in diameter, 1.31 m long, and has a Young's modulus of 2.10 x 10¹1 N/m². Randomized Variables lo=1.31 m 1=5.5 mm d = 0.95 mm Calculate the force a piano tuner applies to stretch the steel piano wire in Newtons. F= sin() cos() tan() π 789 HOME
H01
A 1.3 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x 109 N/m2 and a radius of 13 x 10-6 m. Suppose that a 95-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?
A spider of mass 6.6 x 10-4 kg hangs from a 71.2 cm long thread whose diameter is 2.0 × 10-3 mm. Young's modulus of thread is 3 × 10⁹ N/m2. By how much does the thread stretch (in m)? Enter a number. asic definition for Young's modulus. Review the difference between mass and force. Check units for consistency. m
Question:- A steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a tensile (stretching) force of 370 N is applied to each end of the wire. Part A What minimum diameter dmin is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be Y = 2.00×1011 Pa . Part A dmin =
A solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to reduce the edge length to 88 cm? The bulk modulus of copper is 1.4x 1011 N/m². Number i Units
An electrical home appliance rests on four rubber pads, each one having a height of 0.62 cm and a radius of 0.34 cm. A 339-N horizontal force is applied to the appliance. How far does it move sideways due to the deformation of the rubber pads if the pads do not slide on the floor? The shear modulus of these rubber pads is 2.6 × 10^6 Pa. Give your answer in mm
A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a tensile (stretching) force of 420 N is applied to each end of the wire. What minimum diameter (dmin) is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be Y = 2.00×1011 Pa .
What is the compressive stress ?/?on a woman's feet, in units of kilopascals (kPa) , if the woman's weight is spread out evenly over both soles of her shoes? Assume her mass is 64.0 kg and each shoe has an area of 220.0 cm2. ?/?= kPa
An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 15 m and a cross-sectional area of 8.00 cm?. Take Young's modulus for steel to be Y = 2.0 x 1011 Pa. a. How much is the rod stretched (change in AL)when the ride is at rest? Assume that each car with two people seated in it has a total weight of 1900 N. b. When the ride is operating, it has a maximum angular speed of w = 8.0 rev/min. How much is the rod stretched then?
A spider silk line has a circular cross section. Its diameter is 7.14 micrometers. Its unstretched length is 12cm and when a 1g spider hangs from it it stretches to 27cm. What is the Young's Modulus of the thread? Give your answer in MPa. Answer:
B7