COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 31QAP
To determine
Young's modulus for a strip of paper?
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c)
Figure 4 shows a 10 kg weight suspended by a 0.3 m vertical copper wire with cross
UTM U
sectional area of 0.05
A 5 kg weight is suspended by a similar wire from the
TM
(Young's modulus of copper, E = 1.10×10" Nm2)
TEM
bottom of the 10 kg weight. Calculate the strain of each wire.
UTM
A
HOMEWRK-1: The average cross-sectional area of leg 3 cm² and all of body weight 700
N supported of this leg, and the amount of shorting (AL) = 0.15 mm find the length of
this leg in meter if you know that young's modulus of the bone is 1.8 * 10¹0 N/m².
ANSWER
L = 1.157 m
L?
A--3X1=4
F-100
16
4 - 1881-
2. The "lead" in pencils is a graphite composition with a Young's modulus of approximately 1.0 x 109 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.
Al =
Chapter 9 Solutions
COLLEGE PHYSICS
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- Assume 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_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_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
- An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forwardA steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?arrow_forwardThe “lead” in pencils is a graphite composition with a Young’s modulus of approximately 1.0109N/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 4.0N . The lead is 0.50mm in diameter and 60mm long.arrow_forward
- (a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?arrow_forwardA 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_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 . 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_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_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_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_forward
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