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Solved: Consider a spring that does not obey Hookes law

University Physics with Modern Physics (1) | 14th Edition | ISBN: 9780321973610 | Authors: Hugh D. Young Roger A. Freedman ISBN: 9780321973610 228

Solution for problem 6.7 Chapter 6

University Physics with Modern Physics (1) | 14th Edition

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University Physics with Modern Physics (1) | 14th Edition | ISBN: 9780321973610 | Authors: Hugh D. Young Roger A. Freedman

University Physics with Modern Physics (1) | 14th Edition

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Problem 6.7

Consider a spring that does not obey Hookes law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component Fx = kx - bx2 + cx3 must be applied to the free end. Here k = 100 N>m, b = 700 N>m2 , and c = 12,000 N>m3 . Note that x 7 0 when the spring is stretched and x 6 0 when it is compressed. How much work must be done (a) to stretch this spring by 0.050 m from its unstretched length? (b) To compress this spring by 0.050 m from its unstretched length? (c) Is it easier to stretch or compress this spring? Explain why in terms of the dependence of Fx on x. (Many real springs behave qualitatively in the same way.)

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PHYS Notes Week 7 Feb 22­26 Electric Charge ­ Particles have either a positive or negative charge ­ Combining these particles into atoms/molecules result in three possibilities ­ Negatively charged: object contains more negative particles than positive particles ­ Positively charged: object contains more positive particles than negative particles ­ Electrically neutral: object contains equal amounts of positive and negative particles ­ Nature prefers neutral charges ­ The terms "positive" and "negative" don't mean anything; they just refer to the fact that the charges are opposite ­ Electrostatic/electric force: the force that charged particles exert on each other ­ Objects with the same electrical charge repel each other, while objects with opposite electrical charges attract each other ­ Strong electrical charges can induce an opposite charge in a neutrally charged system ­ Grounding it can neutralize a system’s charge ­ Grounding: touching an object to the ground (the earth is so big that it can absorb any extra charge without problem) ­ Unit of electric charge is a coulomb (C) ­ Derived from base unit of ampere, which is a measure of current ­ Current: rate at which charge moves past a given point in a given amount of time ­ Charge is quantized (comes in basic units based on electrons that cannot be divided) ­ Basic unit of charge: electron ­ Historically led to the development of quantum mechanics ­ Charge is conserved (cannot be created or destroyed, only moved around) ­ Charge moving through materials ­ Conductors vs. insulators ­ Conductors allow electrons to move freely (ex. metal) ­ Everything can be a conductor with enough electricity ­ Insulators don't allow electrons to move as freely ­ Semi­conductors are somewhere in between ­ Superconductors allow charge to move without hindrance ­ Coulomb’s law ­ Force exerted by charged particles on each other depends on the size of the charge of the particles as well as their distance from one another ­ Two positive or two negative charges ­­> particles push away from each other; one negative and one positive charge ­­> particles attract each other * Increasing force means opposite charges (attracting particles) ­ Electric fields: electrostatic forces existing around a charged particle ­ Determine what a field looks like by placing a test charge near it and measuring the force applied to the test charge ­ We draw electric field using field lines ­ Field lines closer together shows stronger force ­ Field lines extend away from positive charges and toward negative charges ­ If we create a field, we can direct a particle through it (old TVs) ­ Charged particles have potential energy ­ Electric potential (voltage): potential energy per electrical charge ­ Electric current: flow of electrons in motion (negative to positive) ­ Produced by voltage ­ Inserting battery into loop of conductive material creates a flow ­ Conduction ­ Some materials conduct electricity better due to resistance of the material ­ Resistance inhibits flow ­ Ohm: unit of resistance ­ Ohm's law: as potential increases, current increases, and when resistance increases, current decreases ­ Series Circuits ­ Battery/power supply: creates a difference in potential energy ­ Path from one end of battery to another (wire or other conductive material) ­­> electrical current ­ Electrons pushed through a resistor, which slows the current down/steals kinetic energy from the electrons to power a machine ­ Power multiple machines by adding multiple resistors to circuit around the circuit ­ Each resistor increases the overall resistance of circuit ­ Parallel circuits ­ Put resistors into a circuit next to each other, creating multiple paths for the electron to move through ­ If one of the paths slows down (because electrons have to slow to enter the resistor), the backed­up electrons move through the next parallel resistor ­ Adding resistors decreases the resistance of the circuit, increasing current flow (like adding lanes to a highway) ­ Too fast of a current is an issue because wires can only hold so much electricity ­ Direct current (DC): current that flows in only one direction ­ Usually used in electronics/devices ­ Alternating current (AC): current alternates direction (60 times/s (60 Hz)), which changes, faster than what we can see (20 Hz) ­ Easier to generate and travel over long distances ­ Argument between Tesla (AC) vs. Edison (DC) because AC is dangerous ­ Edison created the electric chair, which used AC ­ Transformers are used to change between AC and DC

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Chapter 6, Problem 6.7 is Solved
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Textbook: University Physics with Modern Physics (1)
Edition: 14
Author: Hugh D. Young Roger A. Freedman
ISBN: 9780321973610

Since the solution to 6.7 from 6 chapter was answered, more than 248 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 6.7 from chapter: 6 was answered by , our top Physics solution expert on 01/09/18, 07:46PM. The answer to “Consider a spring that does not obey Hookes law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component Fx = kx - bx2 + cx3 must be applied to the free end. Here k = 100 N>m, b = 700 N>m2 , and c = 12,000 N>m3 . Note that x 7 0 when the spring is stretched and x 6 0 when it is compressed. How much work must be done (a) to stretch this spring by 0.050 m from its unstretched length? (b) To compress this spring by 0.050 m from its unstretched length? (c) Is it easier to stretch or compress this spring? Explain why in terms of the dependence of Fx on x. (Many real springs behave qualitatively in the same way.)” is broken down into a number of easy to follow steps, and 143 words. University Physics with Modern Physics (1) was written by and is associated to the ISBN: 9780321973610. This full solution covers the following key subjects: . This expansive textbook survival guide covers 44 chapters, and 4574 solutions. This textbook survival guide was created for the textbook: University Physics with Modern Physics (1), edition: 14.

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Solved: Consider a spring that does not obey Hookes law