COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 2QAP
To determine
Reasons why Hooke's Law is intuitively obvious and why it is counterintuitive.
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A 5.0 × 102-N object is hung from the end of a wire of a cross-sectional area of 0.010 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. Determine Young's modulus of the wire.
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What, including unit, is the constant value of dF/dx?
Chapter 9 Solutions
COLLEGE PHYSICS
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- Compute the modulus of elasticity of a copper alloy wire thatstretches 14 mm when subjected to a load of 320 N. The wire is 4 mlong and has a diameter of 1 mm.arrow_forwardA metal wire with an elastic modulus of 0.05 Ggf mm-2 has a length of 7.5’. It has a circular geometry. Assuming it is in the elastic region. Determine the strain, stress, cross-sectional area and the minimum diameter if the rod must hold a 40 lbf tensile force without deforming more than 0.08”. Express your answers in SI units.arrow_forwardWhat is Hooke’s law for the 1-D system? Choices: The relation between normal stress and the corresponding strain The relation between shear stress and the corresponding strain The relation between lateral strain and the corresponding stress None of the mentionedarrow_forward
- Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial diamond of volume 1.00 x 10-6 m3 is formed under a pressure of 5.00 GPa. Find the change in its volume when it is released from the press and brought to atmospheric pressure. Take the diamond’s bulk modulus to be B = 194 GPa.arrow_forwardThe diameter of a car's suspension spring decreases uniformly. The force exerted by the spring is given by F = axb. Consider a suspension spring that compresses x1 = 12.4 cm with a 1,000 N load and x2 = 34.0 cm with a 5,000 N load. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) Find the constants a (in units of N/mb) and b. a= b= (b) Calculate the work (in J) needed to compress the spring 24.0 cm. (Assume the spring is not initially compressed.) Jarrow_forwardQ. 10. 9 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 (9.90x10^1) kPa at sea level to 27.0 kPa high in the Himalayas. The bulk modulus is 2.10 GPa. Give your answer with three significant figures.arrow_forward
- A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x 10^6 psi. When the same specimen is used in a tensile test, the modulus of elasticity is found to be 12.2 x 10^6 psi. Find Poisson’s ratio for the specimen.arrow_forwardCalculate the pressure due to the ocean at the bottom of the Marianas Trench near the Philippines, given its depth is 11.0 km and assuming the density of sea water is constant all the way down. (b) Calculate the percent decrease in volume of sea water due to such a pressure, assuming its bulk modulus is the same as water and is constant. (c) What would be the percent increase in its density? Is the assumption of constant density valid? Will the actual pressure be greater or smaller than that calculated under this assumption?arrow_forwardReview. A wire of length L, Youngs modulus Y, and cross-sectional area A is stretched elastically by an amount L. By Hookes law, the restoring force is kL. (a) Show that k = YA/L. (b) Show that the work done in stretching the wire by an amount L is W=12YA(L)2/L.arrow_forward
- (a) The "lead" in pencils is a graphite composition with a Young's modulus of about 1109 N/ m2. Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. (b) Is the answer reasonable? That is, does it seem to be consistent with what you have observed when using pencils?arrow_forwardExplain why the viscosity of a liquid decreases with temperature, that is, how might an increase in temperature reduce the effects of cohesive forces in a liquid? Also explain why the viscosity of a gas increases with temperature, that is, how does increased gas temperature create more collisions between atoms and molecules?arrow_forwardUse the graph in Figure P14.46 to list the three materials from greatest Youngs modulus to smallest. Explain your reasoning. FIGURE P14.46arrow_forward
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