Answered: A 10.2 m long wire with a…

A 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by 0.196 cm when a tensile force of 6250 N is applied at its ends. What is the Young's modulus for the wire?

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: A strand of dragline spider silk has a diameter of 6.0 μm, and can support a mass of 2.9 g.…

A: Required : Approximately how many copper wires would it take tosupport the same mass?

Q: A nylon rope used by mountaineers elongates under the weight of a 65.0-kg climber. If the rope is…

A: Given , Weight of climber = 65.0 kg length of rope = 45.0 m Diameter = 8.00…

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2). If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

Q: 16. Biceps muscle. A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm;…

A: Detailed solution is given below:

Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a…

A: Given data, Force F=380 N Length L0=2.08 m Young's modulus Y=2×1011 Pa Change in length ∆L=0.2×10-2…

Q: A high-carbon steel wire, circular in cross-section, has a diameter of 14 mm. What is the force (in…

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

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: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data: Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given that,Force : F = 557 (N)L = 66 (m)Area : A = 2.8 (mm2)Y = 1×1011 (N/m2)Here we need to find…

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: uring a tensile strength experiment, a small diameter fibre is elongated by a force of 0.0250 N. The…

Q: A steel rod 2.0 m long has a cross-sectional area of 0.30 cm2. It is hung by one end from a support,…

A: Given information: The length of the rod, l=2.0 m The cross-sectional area of the rod, A=0.30…

Q: A biomechanical model of the bones and biceps muscles of a person's arm supporting a mass m=2 kg is…

A: Stress is a quantity that describes the magnitude of forces that cause deformation. Stress is…

Q: Humans can bite with a force of approximately 793 N. If a human tooth has the Young's modulus of…

Q: A particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236…

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

Q: One end of a metal rod of radius R =8.7 mm and length L-81 cm is held in a vise, see figure. A force…

A: The expression for the Young’s modulus is,

Q: A 90 kg mountain climber stretches her 1.0 cm diameter nylon rope by 1.3 m when she hangs below a…

A: Find the force exerted on the rope. F=mg=90 kg9.8 m/s2=882 N Find the cross sectional area of the…

Q: An unknown block has shear modulus 8.0x 106 N/m 2 is used to stop cars at the end. The shearing…

Q: A wall climber of mass 85 kg dangles at the end of a rope. The rope has a diameter of 9.6 mm, and is…

A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

Q: A wire of length L , area of cross section A is hanging from a fixed support. The length of the wire…

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 man with a mass of 72.1 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given, M=72.1 kgg=9.81 m/s2W=Mg=72.1×9.81=707.301 NA=8.00 cm2=8×10-4 m2L=49.6 cm=0.496 mE=9.40×109…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given : Young's modulus for bone, Y = 1.50*1010 N/m2 Stress to break the bone, S =…

Q: A wire has 20 x 10^10 N/msquared young modulus. Its diameter is 1mm that can handle a tension of 0.2…

A: Given data- young modulus= 20×1010 N/m2 1mm diameter can handle a tension of 0.2 kN.

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 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 steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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

Q: An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only…

A: Given, The length of the alumunium cable, L=3.5 m The tensile force acting, F=15000 N Length by…

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

A: Given: Area of cross section A of the steel girder is 0.15 m2. Mass M hanging at the end is of 1550…

Q: A wooden "2 x 4" has a cross-sectional area of 38 mm x 89 mm. The shear modulus of the wood is 1.1 x…

A: Given that:

Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

Q: A particular human hair has a Young's modulus of 3.51 x 10° N/m² and a diameter of 152 µm. If a 209…

A: Young modulus of human hair Y= 3.51× 109 N-m-2 Diameter of hair (2r)= 152 micrometer Radius (r) = 76…

Q: Humans can bite with a force of approximately 807 N. If a human tooth has the Young's modulus of…

A: The equation for Young's modulus is given by, Y=σe (1) Here, σ is the stress and e is the strain.…

Q: A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the…

A: Given that, The elongation in the rope, ∆l=1.1 m The mass of the climber, m = 65 kg The length of…

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

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

Q: During a tensile strength experiment, a small diameter fibre is elongated by a force of 0.0250 N.…

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.…

A: The stress is given by, σ=FA Here, F is the force and A is the area of cross-section. The force is…

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 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by
0.196 cm when a tensile force of 6250 N is applied at its ends. What is the
Young's modulus for the wire?

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

A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far will it stretch? Young's modulus for steel is 2.0 × 10^11 pa
A marble column of cross-sectional area 0.80 m2 supports a mass of 18000 kg. The elastic modulus for marble is 5.0×10^10N/m^2. What is the stress within the column? What is the strain on the column?
A block of Jell-O is resting on a plate The Jell-O stands 0,03 m tall and in the shape of a square that is 0 07 m in length. You are bored, waiting for dinner and push tangentially across the top surface with a force of 0.45 N. The top surface moves a distance of Ax= 6.0 x 10m relative to the bottom surface. What is the shear modulus of Jell-O?
A bar of aluminum has a cross section of 1.0 cm x 1.0 cm and a length of 86 cm, What force F would be needed to stretch the bar to 1.0 m? F = What is the tensile strain of the aluminum bar at that point? tensile strain:
A solid copper cube has an edge length of 89.8 cm. How much stress must be applied to the cube to reduce the edge length to 89 cm? The bulk modulus of copper is 1.4 x 1011 N/m². Number Units
A 6.10 m long marble column has a cross sectional area of 1.38 m^2 has a Young's modulus of 50.5 x 109 N/m2. What distance will it be compressed when a statue that has a mass of 201,000 kg is placed on top of it?
A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its end. (Ignore the mass of the girder itself.) If the girder is 9.50 m long, how much is it lengthened? Note that the Young's modulus =200x10 9 * O 8.4x10 6m 4.4x10 -6m O 4.8x10 -6m O All answers are wrong
An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has length 15m and cross-sectional area 8.00cm2. Take Young's modulus for steel to be Y=2.0×1011Pa. How much is the rod stretched (change in length of ΔL) when the ride is at rest? Assume that each car with two people seated in it has a total weight of 1900N. When the ride is operating, it has a maximum angular speed of ω=8.0rev/min. How much is the rod stretched then?
A 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the tendon is round and as an average diameter of 5.13 mm, calculate the Young's modulus of this tendon.
A 5.0 cm. cube of substance has its upper surface displaced by 0.65 cm, by a tangential force of 0.25 N. Calculate the modulus of rigidity of the substance.
What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's modulus of steel is 20×10^10N/m2. Express your answer in kilograms.
it's urgent please