Exam 9: Elastic Properties of Matter: Stress and Strain
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Use the following figure to answer the following question:
-A steel wire and an aluminum wire of the same length L and diameter d are joined to form a wire of length 2L. The wire is fastened to the ceiling and a mass m is attached to the other end. If the masses of the wires are negligible relative to mass m, the ratio of the stress in the aluminum wire to the stress in the steel wire is

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Correct Answer:
B
The Young's modulus for aluminum is
. If a 35.0-cm long aluminum bar is shortened by 4.00 mm under a certain load, what is the stress on this bar?

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B
The bulk modulus of water is 2.00 x 109 N/m2. By how much must the pressure be increased to reduce the volume of 1.00 kg of water from 1.00 to 0.998 L?
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B
During exercise the volume of a human lung can increase by as much as 15%. If the bulk modulus for a lung is 3.00 kN/m2, what is the change in the pressure?
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A 4.00 m-long steel cable is used to support a church chandelier. After the 226-kg chandelier is hung from the ceiling, the steel cable is lengthened by 3.00 mm. Calculate the diameter of the cable in millimeters. The Young's modulus for steel is .)
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A cable lifting a 4.00-lb bowling ball stretches by 3.00 mm. The same cable lifting a 5.00-lb bowling ball stretches by
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The point that identifies the elastic limit of the material whose graph of stress as a function of strain is shown is

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An 800-kg mass is hung from a 2.00-m steel wire with a cross-sectional area of 0.250 cm2. Young's modulus for steel is 2.0 *1011 N/m2. How much does the wire stretch?
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A laboratory experiment on stress-strain shows the following quantitative results:
,
,
,
,
Which one of the above values represents a possible value for a tensile strain?





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When pressure changes by value of Δp the change in volume of sphere of side a is
. If the volume is
, the change in the radius Δr is


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Which of the following graphs shows the change in pressure as a function of change in volume for an object with initial volume V?






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A 3.00-m long wire with a diameter of 1.50 mm has Young's modulus of 9.00 x1010 N/m2. What mass has to be attached to the wire so that it would extend it by 3.00 mm under its weight?
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A design project requires you to construct a crane to lift a maximum load of QUOTE 5.00×103kg and with a maximum upward acceleration of 2.00 m/s2. What size diameter steel cable should you use if the cable is to have a safety factor of exactly 5?
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The point that identifies the proportional limit of the material whose graph of stress as a function of strain is shown is

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A 1.00 m-high retaining wall is built out of concrete blocks. Each block weighs 22.2 N and has dimensions of 20.3 cm 9.20 cm 5.60 cm. Estimate the minimum volume stress on a block at the very bottom layer of the wall. Assume that the largest surface areas of blocks are facing each other, the height of the wall cannot exceed 1.00 m, and ignore the thin layer of cement between those faces.
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00x1010 N/m2. Neglect any effect of the temperature difference.)
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