COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 63QAP
To determine
The minimum radius of wire.
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A cable is replaced by another one of the same length and material but of twice the diameter (a) How does this affect its elongation under a given load (b) How does this affect the maximum load it can support without exceeding its elastic limit?
1.)When two wires of identical dimensions are used to hang 25 kg weights, wire A is observed to stretch twice as much as wire B. From this observation, you can make the following conclusions about the Young’s moduli of these wires:
a.) YA = 4YB
b.) YA = 2YB
c.) YA = YB
d.) YA = YB
TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 63.0 kg physicist placed himself and 400 kg of equipment at the top of one 610 m high antenna to perform gravity experiments. By how much (in mm) was the antenna compressed, if we consider it to be equivalent to a steel cylinder 0.175 m in radius? (Assume a Young's modulus of 20 ⨯ 1010 Pa.)
Chapter 9 Solutions
COLLEGE PHYSICS
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- (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_forwardTo consider the effect of wires hung on poles, we take data from Example 4.8, in which tensions in wires supporting a traffic light were calculated. The left wire made an angle 30.0° below the horizontal with the top of its pole and carried a tension of 108 N. The 12.0 m tall hollow aluminum pole is equivalent in stiffness to a 4.50 cm diameter solid cylinder. (a) How far is it bent to the side? (b) By how much is it compressed?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_forward
- 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% (that is, ΔV/V0 =2×10−3) relative to the space available. Calculate the magnitude of the normal force exerted by the juice per square centimeter if its bulk modulus is 1.8×109 N/m2, assuming the bottle does not break. In view of your answer, do you think the bottle will survive?arrow_forwardA ball reached 120 m horizontally in 4 seconds after being kicked. Calculate the modulus and slope of the ball's initial speed. Consider g = 9.81 m.s-²arrow_forwardA steel wire of diameter 4.72 mm stretches by 7.98 mm when a 320 -kg piece of equipment is suspended from it. If the wire had a diameter of 4.75 mm instead, by what distance in mm would the equipment stretch the wire?arrow_forward
- A steel rod of radius R =15cm and length lo stands upright on a firm surface. A 65-kg man climbs atop the rod.(a) Determine the percent decrease in the rod’s length.(b) When a metal is compressed, each atom moves closer toits neighboring atom by exactly the same fractional amount.If iron atoms in steel are normally 2.0x10-10 m apart, bywhat distance did this interatomic spacing have to changein order to produce the normal force required to supportthe man? [Note: Neighboring atoms repel each other, andthis repulsion accounts for the observed normal force.]arrow_forwardA glass optical fiber in a communications system has a diameter of 9.0 μm. What maximum tension could this fiber support without breaking? Assume that the fiber stretches in a linear fashion until the instant it breaks. By how much will a 40 m long fiber have stretched when it is at the breaking point?arrow_forwardA 77-kg water skier is being pulled by a nylon (Young's modulus 3.7 × 10° N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 11 m and its cross-section area is 2.4 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 160 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope when the skier has an acceleration whose magnitude is 0.63 m/2?arrow_forward
- TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 71.5 kg physicist placed himself and 400 kg of equipment at the top of one 610-m high antenna to perform gravity experiments. m = 71.5 kg By how much was the antenna compressed in mm, if we consider it to be equivalent to a steel cylinder 0.150 m in radius? The Young's modulus of steel is 2.10 × 1011 N/m2arrow_forwardA Foucault pendulum in a physics department (used to prove that the earth rotates) consists of a 120 kg steel ball that swings at the end of a 6.0-m-long steel cable. The cable has a diameter of 2.5 mm. When the ball was first hung from the cable, by how much did the cable stretch?arrow_forward67. One end of a vertical metallic wire of length 2.0 m and diameter 1.0 mm is attached to a ceiling, and the other end is attached to a 5.0-N weight pan, as shown below. The position of the pointer before the pan is 4.000 cm. Different weights are then added to the pan area, and the position of the pointer is recorded in the table shown. Plot stress versus strain for this wire, then use the resulting curve to determine Young’s modulus and the proportionality limit of the metal. What metal is this most likely to be?arrow_forward
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