Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.90 mm, if the wire is originally 0.810 mm in diameter and 1.30 m long. Young's modulus for steel is 210 ✕ 109 N/m2.   During a wrestling match, a 116 kg wrestler briefly stands on one hand during a maneuver designed to perplex his adversary. By how much (in m) does the upper arm bone shorten in length? The bone can be represented by a uniform rod 38.0 cm in length and 2.10 cm in radius. Assume Young's modulus for bone under compression is 9 ✕ 109 N/m2.

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

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Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.70 mm, if the wire…

A: Solution: Given that ∆L = 8.7 mm = 8.7 x 10-3 m D = 0.83 mm = 0.83 x 10-3 m L = 1.3 m E = 210 x 109…

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Q: After a fall, a 84 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

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Q: When pushing off horizontally from a pool wall with her legs, the resulting force of the wall on the…

A: compression in length (∆L) = 2.98×10-5 m Length (L) = 36 cm = 0.36 m Radius (r) = 1.82 cm = 0.0182 m…

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: After a fall, a 89 kg rock climber finds himself dangling from the end of a rope that had been 12 m…

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Q: A leg has 1.4 m shaft of bone with an average cross sectional area of 3x10-4 m². What is the amount…

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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…

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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: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.70 mm, if the wire…

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Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

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

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Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: Show transcribed image text For safety in climbing, a mountaineer uses a nylon rope that is 51m long…

A: Length, L = 51 m  elongation, l = 2.1 m mass, m = 110 kg diameter, d = 1.1 cm

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

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Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.90 mm, if the wire…

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Q: A circular steel wire 2.4m long must stretch no more than 0.24cm when a tensile force of 420 N is…

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Q: After a fall, a 84 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

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Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 12 m…

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

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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: After a fall, a 84 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A: By observing the scenario,  Climber finds that he dangling from the end of the rope i.e., the only…

Q: A copper wire of length 4.4 m , cross sectional area 2.8 x 10--m²and Young's modulus 11 x 1010 N/m²…

A: Given: A copper wire of length , L=4.4 m , Cross sectional area, A= 2.8 x 10-6 m Young's modulus, E…

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

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Q: A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The…

A: Given: ΔV/V0 = 5 ✕ 10-3 Bulk modulus = 1.9 × 109 N/m2 Find The force exerted by the moonshine per…

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 8.40 mm, if the wire is…

A: change in length (∆L) = 8.40 mm diameter of wire (d) = 0.800 mm Length (L) = 1.35 m Young's modulus…

Q: 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…

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

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 7.50 mm, if the wire is…

A: Write a given values of this question. Original length of piano. L=1.35m Stretch length of piano.…

Q: A brass wire which is 4.00 m long and 4.00 mm in diameter hangs from the ceiling. If a mass of 5.00…

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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=…

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

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…

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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).