Answered: A mass of 35.0 kg is suspended from a…

A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much will the wire stretch? The Young's modulus for steel is 20X10^(10) N/m^2.

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 49PQ

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…

A: solution as .

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

Q: A metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire…

A: Given: Initial diameter of metal wire, D1=D Weight supported to metal wire initially, W1=W The…

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: 2.0-m-long, 1.0-mm-diameter wire is suspended from the ceiling. Hanging a 4.5 kg mass from the wire…

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

Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

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

Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.72. The wire has an…

A: the expression for force is,

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: If 1.0 m of concrete weighs 5.0 x 104 N, what is the height of the tallest cylindrical concrete…

A: The compression strength is given by, P=FA Here, F is the force applied and A is the area of…

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

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

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 55 m long and 1.5 cm in diameter.…

Q: A 29.0 m long aluminum cable with a cross-sectional area of 2.01 x 10- m is used to suspend a 3.20 x…

A: The expression for young’s modulus of the material is, \Y=FAΔLL0ΔL=FL0AY=mgL0AY

Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

Q: A 45 kg boy whose leg bones are 5 cm? in area and 50 cm long falls through a height of 2 m without…

A: Given data m=45 kg B. S= 0.9×108 N/m2 A= 5cm2 L=50 cm loss in PE = gain energy Stored in leg bones…

Q: A 50-kg bucket of concrete is suspended from a steel wire that is 1.0 mm in diameter 1.0 mm and 11.2…

Q: The bone breaks if stress greater than 1.50 x 10 8 N/m2 is imposed on it. (a) What is the maximum…

Q: 20. A 20-m long steel wire (cross-section 1.0 cm2, Young's modulus 2.0 x 10I N/m²), is subjected to…

A: Given that Original length of wire L = 20 m Cross section area A = 1 cm2 = 1 X 10-4 m2 Young's…

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: A particular human hair has a Young's modulus of 3.65×109 N/m2 and a diameter of 155 μm. If a 259 g…

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

Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 45844…

A: Young's modulus is Y= 1.5×10¹⁰ N/m² Maximum stress is σ = 45844 N/m² Effective radius of the bone…

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 steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a…

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 piano wire 0.82 m long and 0.93 mm in diameter is fixedon one end. The other end is wrapped around…

A: The expression for the cross-sectional area is A=π4d2=π40.93 mm×1 m1000 mm2=6.7929×10-7 m2 When the…

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

A: Dear student The Young modulus is defined as: Y = Stress/ Strain Here stress = Force / Area Strain =…

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

A: Convert the shear stress on cells in N/m2.

Q: A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: The bone breaks if stress greater than 1.50 x 10⁸ N/m2 is imposed on it. (a) What is the maximum…

A: (a) Allowable stress for bone: σ=1.50×108 N/m2 Diameter of bone: d=5.87 cm=0.0587 m Expression of…

Q: A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm…

A: Young's modulus= 2 × 1011 N/m2

Q: 6. What is the compression in the tibia of length /= 30 cm of a person of mass m = 80 kg when…

Q: A material rod that is 4.00 m long and 0.50 cm2 in cross- section area is found to stretch 0.20 cm…

A: The Young's Modulus, Y=Fl0A∆l

Q: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

Question

A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much will the wire stretch? The Young's modulus for steel is 20X10^(10) N/m^2.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?
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?
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
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
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?
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?
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.
By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )
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
What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is itstable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly? FIGURE P14.1
A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?
A 5.45-N beam of uniform density is 1.60 m long. The beam is supported at an angle of 35.0 by a cable attached to one end. There is a pin through the other end of the beam (Fig. P14.30). Use the values given in the figure to find the tension in the cable. FIGURE P14.30