A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume increases by 0.2% (that is, ΔV/V0 =2×10−3) relative to the space available. Calculate the magnitude of the normal force exerted by the juice per square centimeter if its bulk modulus is 1.8×109 N/m2, assuming the bottle does not break. In view of your answer, do you think the bottle will survive?

Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

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Q: The Achilles tendon, which connects the calf muscles to the heel, is the thickest and strongest…

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Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters.  If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A: The strain in the wire is strain=LΔL​=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…

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

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Q: What hanging mass will stretch a 2.0-mm-long, 0.59-mmmm-diameter steel wire by 1.2 mmmm ? The…

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Q: The “lead” in pencils is a graphite composition with Young’s modulus of approximately 1.0×109 N/m2.…

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Q: In the figure, a 131 kg uniform log hangs by two steel wires, A and B, both of radius 1.05 mm.…

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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…

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Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

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Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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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.…

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Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands…

A: thank you

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

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Q: When water freezes, its volume increases by 9.05% (that is, ΔV/V0=9.05×10^−2) a. What force per…

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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: Problem 12:   Consider the effect of wires hung on poles in which the left wire made an angle 29°…

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Q: A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

Q: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

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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: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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Q: A solid copper cube has an edge length of 80.8 cm. How much stress must be applied to the cube to…

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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).