Indiana takes his rope with a length of 75.0m and a diameter of 3.50cm and uses it to support a 625kg box that he is using for one of his traps. When the mass is attached it causes the rope to stretch by 1.30m. a) What is the stress on the rope in Pascals? b) What is the strain on the rope? c) What is Young’s modulus for the rope in Pascals?

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

A: Length of steel wire (L) = 2 m Radius (R) = 0.3 mm Area = π×R2= π×(0.3×10-3)2 = 2.827×10-7 m2Tension…

Q: 3) A 1.6 m long wire has a diameter of 0.2 cm . What is the tension force in the wire if the…

A: Given that Original length of wire L = 1.6 m Diameter D = 0.2 cm So, radius r = 0.1 cm = 0.001 m…

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.60 mm, if the wire…

A: The diameter of the piano wire, D=0.900 mm Therefore, the radius of the wire, r=D2=0.450 mm =…

Q: In a structure you need to place a 7.5 m steel wire that does not stretch more than 6.7 cm when a…

A: Given,

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 1.2-m-long, 1.0-mm-diameter steel string is pulled by a 2.9 × 103 N tension force. By how much is…

A:

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:

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

A: Given:- a cross-sectional area A = 1.2 cm2                          length L = 1.5 cm…

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…

A:

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: D Question 5 The bulk modulus is a proportionality constant that relates the pressure acting on an…

A: From the relation  F/A = -B( ∆V/V) where F / A is pressure acting on object i.e force per unit area…

Q: Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of…

A:

Q: 1. A hydraulic press contains 0.25 m³ of oil. Find the decrease in the volume of the oil when it is…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: In a structure you need to place a 6.7 m steel wire that does not stretch more than 2.5 cm when a…

A:

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.4 cm in diameter.…

A: In the question given the length of rope , diameter of rope , mass and change in the length and we…

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: When a 125-kg piece of equipment is hung from a steel wire of diameter 6.00 mm, it stretches the…

A:

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

A:

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 metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from…

A: Young's modulus is a measure of the ability of a material to withstand changes in length when under…

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…

A:

Q: In a structure you need to place a 1.7 m steel wire that does not stretch more than 3.7 cm when a…

A: Given that, Length steel wire = 1.7 m Stretched length = 3.7 cm Force = 417 N Young's modulus =…

Q: 2. A person with a mass of 85kg, stands on their tip toe one foot and has the following three forces…

A: Given Data: The tension in the femur is C = 850 N. The length of femur is l = 420 mm. The diameter…

Q: Blue Brass wire is 4 m long and 4 mm in diameter that is hanging from ceiling. If there's a mass of…

A: length = 4 m diameter = 4mmradius = 2mmmass = 5kg stretching amount = 0.16mm

Q: A 20.0-m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder 4.00 cm in…

A:

Q: In a structure you need to place a 7.3 m steel wire that does not stretch more than 6.3 cm when a…

A: Given: The length of the steel wire is 7.3 m. The change in the length is 6.3 cm. The force applied…

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

A:

Q: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

A: Write the given values with suitable variables. L0=7.8 mΔL=8.5 cm=0.085 mF=391.6 NE=20×1010 N/m2…

Q: An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2.0 × 103 N by…

A:

Q: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

A:

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: Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial…

A: Bulk modulus is given by

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

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: 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: 6. A steel wire is 4.5 m long and 2 mm in a diameter. Given Young's Modulus for steel is 196000 MPa.…

A:

Q: A cylindrical aluminum rod, with an initial length of 0.8880 m and radius 849.7 µm, is clamped in…

A:

Q: A 90-kg mountain climber hangs from a nylon rope and stretches it by 25.0 cm. If the rope was…

A: Given data The mass is m=90 kg The change in length is ∆l=25.0 cm The original length is l=30.0 m…

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.30 mm, if the wire…

A: The property of a material by virtue of which it resists any elastic deformation in the body under…

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

A: Recall F/A=Y∆ll

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: If the rope is 43.5 m in length and 6.65 mm in diameter, what is Young's modulus for this nylon?…

A: Mass of climber, m=63.5 kg Length of rope, l=43.5 m Change in length, ∆l=1.05 m Diameter of rope,…

Q: Some claim that mountain climbers suffer from headaches due not only to a lack of oxygen in the…

A: Using the  hook's law for the volume dormation to calculate faractional change of the brain's volume…

Q: Some claim that mountain climbers suffer from headaches due not only to a lack of oxygen in the…

A:

Q: An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2.0 x 103 N by…

A: Given:- L= Length = 80 cm = 0.8 m r= radius of cross section=. d/2 = 1/2 = 0.5 mm = 0.5×10^-3 m Y=…

Q: A cylindrical aluminum rod, with an initial length of 0.9570 m and radius 1173 um, is clamped in…

A: Given value--- initial length = 0.957 m. initial radius = 1173 micro m. final radius = 1172 micro…

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).