COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 39QAP
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What is the magnitude of the force if a cylindrical steel rod is originally 250 cm long and has a diameter of 0.254 cm, a force is applied longitudinally and the rod stretches 0.85 cm?
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7) Suppose a person’s femoral diaphysis is idealized as a circular cylinder with a periosteal diameter of 2 cm and an endosteal diameter of 1 cm. A stress in compression equal to 19×106 pa is applied. Calculate the compressive force applied to the femoral diaphysis.
what is the percentage elongation of an elastic with a cross section of 5 cm2 If the force of 15 N is applied to the end of it, young's module is 4 x 10^5 Pa
When pushing off horizontally from a pool wall with her legs, the resulting force of the wall on the swimmer can be considered to act parallel to the length of her femur (thighbone), compressing it 2.98 × 10–5 m.The bone is equivalent to a uniform cylinder that is 36.0 cm long and 1.82 cm in radius.Young's modulus for bone is 1.60 ✕ 1010 N/m2.
(a)
Calculate the force exerted on the bone.
N
(b)
If her mass is 75.0 kg and water resistance is negligible, what is her acceleration (in m/s2)?Assume her weight is precisely supported by the buoyant force of the water.
m/s2
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Chapter 9 Solutions
COLLEGE PHYSICS
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- 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 . Calculate the force exerted by the juice per square centimeter if its bulk modulus is 1.8109N/m2 , assuming the bottle does not break.arrow_forwardA 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, V/V0=2103 ) relative to the space available. Calculate the magnitude of the normal force exerted by the juice per square centimeter if its bulk modulus is 1.8109 N/m2, assuming the bottle does not break. In view of your answer, do you think the bottle will survive?arrow_forwardAlarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?arrow_forward
- A high-speed lifting mechanism supports an 800.-kg object with a steel cable that is 25.0 m long and 4.00 cm2 in cross-sectional area. (a) Determine the elongation of the cable. (b) By what additional amount does the cable increase in length if the object is accelerated upward at a rate of 3.0 m/s2? (c) What is the greatest mass that can be accelerated upward at 3.0 m/s2 if the stress in the fable is not to exceed the elastic limit of the cable, which is 2.2 108 Pa?arrow_forwardArtificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial diamond of volume 1.00 106 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 diamonds bulk modulus to be B = 194 GPa.arrow_forwardAssume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?arrow_forward
- A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1109 N /m2. The disk is equivalent to a solid cylinder 0.700 cm high and 4.00 cm in diameter.arrow_forward(a) Estimate the force with which a karate master strikes a board, assuming the hands speed at the moment of impact is 10.0 m/s and decreases to 1.00 m/s during a 0.002 00-s time interval of contact between the hand and the board. The mass of his hand and arm is 1.00 kg. (b) Estimate the shear stress, assuming this force is exerted on a 1.00-cm-thick pine board that is 10.0 cm wide, (c) If the maximum shear stress a pine board can support before breaking is 3.60 106 N/m2, will the board break?arrow_forwardTwo rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?arrow_forward
- A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.arrow_forwardWhat Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is itstable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly? FIGURE P14.1arrow_forwardBone has a Youngs modulus of 18 109 Pa. Under compression, it can will island a stress or about 160 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.arrow_forward
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