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 of iron of cross sectional area0.25 m2. By what amount does the iron stretch?A) 3.9 x 10^-3 mB) 3.1 x 10^-2 mc) 2.0 x 10^-5 m9.7 x 10^-4 m

Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length of iron of cross sectional ar 0.25 m?. By what amount does the iron stretch? 3.9 x 10^-3 m B 3.1 x 10^-2 m 2.0 x 10^-5 m D 9.7 × 10^-4 m

Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length of iron of cross sectional ar 0.25 m?. By what amount does the iron stretch? 3.9 x 10^-3 m B 3.1 x 10^-2 m 2.0 x 10^-5 m D 9.7 × 10^-4 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: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 4.00…

A: Using the help of Young's modulus we will solve the given question. Given(s): Length of the cable,…

Q: A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same…

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: Humans can bite with a force of approximately 798 N. If a human tooth has the Young's modulus of…

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

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

Q: rts a load of 4.5 1

A: Given: Length L = 4.0 m Area A= 7.5 10-3 m2 Force F = 4.5 104 N Young's modulus for steel Y = 210…

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: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: TTM i. Figure 4 shows a 12 kg weight suspended by a 0.3 m vertical copper wire with cross sectional…

A: Concept: In order to calculate the Strain in each of the wire we will firstly calculate the stress…

Q: A string on a tennis racket is under the tension of 25 N. If its diameter is 3.3 mm, by how much is…

Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

Q: Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa.…

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

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

Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

A: Write the expression for young’s modulus of the material.

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Length , L = 4 m Cross sectional area , A = 9.3 x 10-3 m2 Load , F = 7.5 x 104 N Young's modulus ,…

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: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Given: Length of each beam, L=4 m Area of cross-section,A=7.5×10-3 m2 Load, W=4.5×104 N Young's…

Q: A 195-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000 x 10-5 m2, and…

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: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

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…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: An aluminum wire 1.50 m long has a diameter of 0.750 mm. If a force of 60.0 N is suspended from the…

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 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 spider silk line has a circular cross section. Its diameter is 7.14 micrometers. Its unstretched…

A: When spider changes from the thread, stress will be developed in it , whichbleads yo the expansion…

Q: A mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length. The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

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 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 10¹1 N/m²)…

Q: Humans can bite with a force of approximately 795 N. If a human tooth has the Young's modulus of…

A: Young's modulus is defined as the ability of a material to withstand the change in length due to…

Q: The anterior cruciate ligament in a woman's knee is 2.5 cm long and has a cross-sectional area of…

A: Given that the length of the ligament is 2.5cm, its cross-sectional area is 0.50cm2, its Young’s…

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: 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 sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

Q: An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m…

A: The change in length for aluminum is, ∆lAl=FlAYAl =49.84.3π2.5×10-3227×1010…

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

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 of iron of cross sectional area
0.25 m2. By what amount does the iron stretch?
A) 3.9 x 10^-3 m
B) 3.1 x 10^-2 m
c) 2.0 x 10^-5 m
9.7 x 10^-4 m

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

Given

VIEW

Answer

VIEW

Step by step

Solved in 2 steps with 1 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

A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10–4 m2. A safety factor of 4 applies and the maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. Young’s Modulus (E ) of a bone at room temperature is 15 × 109 Pa. How much will it compress to support a weight of 1.2 × 105 N?
Humans can bite with a force of approximately 808 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.3 cm2, and is 1.5 cm long, determine the change in the tooth's length during an 8.08 ✕ 102 N bite. ______________________ m
A copper wire 4.2 m long stretches .20 cm when a force of 410 N is applied. Determine the diameter of the circular wire. Young Modulus for copper is 11 x 10^10 N/m^2
Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.1 cm2, and is 1.9 cm long, determine the change in the tooth's length during an 7.96 ✕ 102 N bite. m
A steel rod 55 cm long has a diameter of 30.0 cm. The compressive strength (the maximum stress it can support without breaking) of this steel is 550.0 × 106 N/m2. What is the compression force that would break the rod? Answer in MN (meganewtons)
A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm while being tuned. How much force is needed to stretch the string by this amount? Young's modulus for steel is 2.0 x 1011 N/m2. O 1.22 N 24.5 N O 10.1 N 2.45 N O 12.2 N
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
To compress a liquid by 10 % of its original volume, the pressure required is 2 x 105 N/m². The bulk modulus of liquid is (a) 2 x 105 N/m? (b) 2 x 107 N/m? (c) 2 x 10° N/m² (d) 2 x 106 N/m?
A 180-kg load is hung on a wire of length of 4.50 m, cross-sectional area 2.000 x 10-5 m2, and Young's modulus 8.00 x 1010 N/m2. What is its increase in length (mm)?
One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of magnitude F = 50000 N is then applied perpendicularly to the end face (uniformly across the area) at the other end, pulling directly away from the vise. What will be the elongation of the rod (in the unit meters)? Young modulus is 200 × 109 N/m2)
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?
Masses M1 and M2 are supported by wires that have equal lengths when unstretched. The wire supporting M1 is an aluminum wire 1.35 mm in diameter, and the one supporting M2 is a steel wire 0.4 mm in diameter. What is the ratio M1/M2 if the two wires stretch by the same amount? Young’s modulus for aluminum is 7 × 10^10 N/m^2and for steel 2 × 10^11 N/m^2. *