Exam 9: Elastic Properties of Matter: Stress and Strain

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When an object is under stress,

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A design project requires you to construct a crane to lift a maximum of QUOTE 5.00×103 kg and with a maximum upward acceleration of 2.00 m/s2, and with a safety factor of 5. If the cable is 20.0 m long, by how much does the cable stretch when the crane is operating at the design limits?

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A 4.00 m-long steel cable is used to support a church chandelier. After the 226-kg chandelier is attached to the cable hanging from the ceiling, the steel cable is lengthened by 3.00 mm. Calculate the tensile stress in the cable. The Young's modulus for steel is QUOTE 2.00×1011N/m2 .)

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A cube expands by 6.94 mm3 when moved from normal conditions to a vacuum chamber. If the bulk modulus of the material is 28.5 GPa, what is the length of the side of that cube?

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The bulk modulus for steel is The bulk modulus for steel is   . If a solid steel ball of radius 2.00 cm is taken from Cape Canaveral to the Moon, what is the change in its volume in cubic meters? . If a solid steel ball of radius 2.00 cm is taken from Cape Canaveral to the Moon, what is the change in its volume in cubic meters?

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A wire 2.5-m long has a cross-sectional area of 2.5 mm2. It is hung vertically, and a 4.5-kg mass is attached to it. By how much does the wire stretch if Young's modulus for that material is 2.0 x1011 N/m2?

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The form of Hooke's law relating shear stress to shear strain is F/A = E Δ\Delta s/h.The figure shows a block subjected to shear stress.  The form of Hooke's law relating shear stress to shear strain is F/A = E  \Delta s/h.The figure shows a block subjected to shear stress.   Which number corresponds to the surface area A in the equation just given? Which number corresponds to the surface area A in the equation just given?

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If you double the length of a bungee cord with no change in its cross-sectional area, its spring constant would

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The ultimate tensile strength of monocrystalline silicon is , while its Young's modulus of . What is the maximum extension that 1.35 cm silicon piece can withstand without breaking?

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