A hammer strikes a metal disk with 150N of force, temporarily making the 25.0mm3 disk lose 0.2mm3 of volume before it snaps back. If the disk has a top surface area of 120mm2 and completely fits under the hammer’s striking face, what is the relevant elastic modulus of the metal? Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown

Q: The following observation were made during a tensile test on a mild steel specimen of 40 mm diameter…

A: The solution is given below

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: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: The Young's modulus of bone is 18×109 Pa. the change in length is, ∆l=FlAY

Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.300 cm when a…

A: Write the formula for Young’s modulus.

Q: Q2.9/ A copper wire with a circular cross section of a diameter (d31.2 mm) was cast by a force of…

A: From the question, it is given that- Force on copper wire: F = 90 N Diameter of copper wire: d = 1.2…

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

A:

Q: The "lead" in pencils is a graphite composition with a Young's modulus of approximately 1.0 x 10°…

A: Given data:  Young's modulus (Y) = 1.0×109 N/m2 Force (F) = 4.5 N Diameter (d) = 0.70 mm = 0.70×10-3…

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

A:

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: After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A: mass of rock climber (m) = 100 kg Length (L) = 13 m diameter = 9.5 mm amount of stretch in the rope…

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 2.7-m-tall, 50-cm-diameter concrete column supports a 4.0×105 kg load. By how much is the column…

A: Given:Length of the column, L = 2.7 mDiameter of the column, D = 50 cmRadius of the column, R = 25…

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: After a fall, a 87 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

Q: One end of a vertical metallic wire of length 2.0 m and diameter 1.0 mm is attached to a ceiling,…

A:

Q: Q2: A road of stainless steel subjected to a tensile test, and the following result were obtained.…

A:

Q: Humans can bite with a force of approximately 810 N. If a human tooth has the Young's modulus of…

A: SOlution: as given F = 810 N E = youngs modulus of bone= A = 1.5 cm2 = 1.5x10-4 m2 L = 1.5 cm =…

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: 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: After a fall, a 89 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

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 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: A rubber band 20 cm long has a cross-sectional area of 4mm^2. What load will stretch the rubber band…

A: ΔL=Elongation of rubber band=1 mm=1×10−3 mF=LoadA=Cross-sectional area=4 mm2=4×10−6 mE=Modulus of…

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

A:

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

A:

Q: Suppose a vertebra is subjected to a shearing force of 540 N. Randomized Variablesf = 540 N h = 2.9…

A: Write the given values with the suitable variables. F=540 Nh=2.9 cm=0.029 md=4.3 cm=0.043 mS=80×109…

Q: After a fall, a 90 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: Part (a) extension or change in length= 3.3cm = 0.033 m  length = 16m  Strain = change in length ÷…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: GivenM= 68.3 kgA =8.00 cm2 =8.00 ×10-4 m2uncompressed length (L) = 50.4 cm = 50.4 × 10-2 mYoung's…

Q: What is the Young's modulus (in N/m2) for this material? On a graph with a starting point of (0,0) a…

A: Young's modulus = stress÷strain Young's modulus = slope of stress-strain curve. Coordinates of curve…

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 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: A physics lab consists of a large ball attached to a wire. Students hold on to one end of the wire,…

A: Here given the wire of length 1.3 m and diameter 1mm. The young modulus is 20 × 10^10 N/m². The mass…

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

A: A) Using the formula for Young's modulus, Y=FLA∆L∆L=FLAY=mgLAY=72.1 kg9.8 m/s20.496 m8.00×10-4…

Q: Problem Solving... A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x…

A:

Q: determine the change in the tooth's length

A: Given data:     The force applied during bite is: F = 796 N The cross-sectional area of tooth is: A…

Q: A15 cm long animal tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given:  Length of animal tendon L = 15 cm = 15×10-2 m Change in length ∆l = 3.7 mm = 3.7×10-3 m…

Q: Bone has a Young’s modulus of 18 x 109 Pa. Under compression, it can withstand a stress of about 160…

A: Write the expression for young’s modulus.

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

A:

Q: 7. A wire of length 6.5 m with a cross-sectional area of 0.14 cm2 stretches by 4.5 mm when a load of…

A:

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).