Some claim that mountain climbers suffer from headaches due not only to a lack of oxygen in the brain, but also to the expansion of the brain in the cranium. Find the fractional change of the brain's volume due to a reduction in pressure from 101 kPa at sea level to 31.2 kPa high in the Himalayas. The bulk modulus is 2.10 GPa.

Q: A small cylinder of copper has length 0.400 m and cross-sectional area of 3.00 ✕ 10−3 m2. The…

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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 × 103 N by…

A: Given dataThe length of the string is given as L = 80 cm.The diameter of the string is given as d =…

Q: On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m…

A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a…

A: Given data, Force F=380 N Length L0=2.08 m Young's modulus Y=2×1011 Pa Change in length ∆L=0.2×10-2…

Q: Give answers in scientific notation. A sphere of copper is subjected to 120 MPa of pressure. The…

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Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…

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Q: During a marathon race, a runner's blood flow increases to 5.0 times her resting rate. Her blood's…

A: Given,  Blood flow rate increase to 5 times her resting rate Blood viscosity dropped to 85%. Blood…

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

A: Initial volume (V) = 1.28×10-6 m3 Pressure or Stress (P) = 5.05 GPa or 5.05×109 Pa Bulk Modulus (B)…

Q: Suppose a piano tuner stretches a steel piano wire 8.5 mm. The wire was originally 0.925 mm in…

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Q: A 3.7-carat diamond is grown under a high pressure of 58x109 N/m2. One carat is 0.200 g, and you can…

A: The volume change of a 3.7-carat spherical diamond when withdrawn from the chamber and exposed to…

Q: At the proportional limit, a 49 mm wide by 13 mm thick bar elongates 2.7 mm under an axial load of…

A: Given: Here are the given data,              Width=49 mm        Thickness=13 mm…

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 hydraulic press contains 0.25 m³ (250 L) of oil. Find the decrease in the volume of the oil when…

A: The problem is asking for the decrease in volume of the oil when it is subjected to a pressure…

Q: A cube with edges exactly 2.00 cm long is made of material with a bulk modulus of 3.50 x 10° N/m².…

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Q: The anterior cruciate ligament in a woman's knee is 2.5 cm long and has a cross-sectional area of…

A: Given that the length of the ligament is 2.5cm, its cross-sectional area is 0.50cm2, its Young’s…

Q: A stainless steel tube with an outside diameter of 46 mm and a wall thickness of 5 mm is used as a…

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Q: An aluminium (Bulk Modulus =70.0 GPa) sphere of radius 53.1 cm is dropped to the bottom of a 2.80 m…

A: We have givenBulk Modulus =70 GPaSphere of radius =53.1 cmDepth of dropped sphere =2.80 m

Q: The aqueous humor in a person's eye is exerting a force of 0.254 N on the 1.27 cm2 area of the…

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Q: (a) A man weighing 742 N lies on a bed of nails. Find the average pressure exerted by a nail on his…

A: When multiple different questions are given, then according to the guidelines, only the first…

Q: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

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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).