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A bug on the surface of a pond is observed to move up and down a total vertical distance of $0.10 \mathrm{m},$ lowest to highest point, as a wave passes. (a) What is the amplitude of the wave? (b) If the height increases to $0.15 \mathrm{m},$ by what factor does the bug's maximum kinetic energy change?
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Physics 101 Mechanics
Physics 102 Electricity and Magnetism
Chapter 15
Wave Motion
Periodic Motion
Mechanical Waves
Electromagnetic Waves
Cornell University
Simon Fraser University
University of Sheffield
Lectures
03:40
In physics, electromagnetic radiation (EM radiation or EMR) refers to the waves (or their quanta, photons) of the electromagnetic field, propagating (radiating) through space, carrying electromagnetic radiant energy. It includes radio waves, microwaves, infrared, (visible) light, ultraviolet, X-rays, and gamma rays. Electromagnetic waves of different frequency are called by different names since they have different sources and effects on matter. In order of increasing frequency and decreasing wavelength these are: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.
10:59
In physics, Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. They underpin all electric, optical and radio such electromagnetic technologies as power generation, electric motors, wireless communication, cameras, televisions, computers, and radar. Maxwell's equations describe how electric and magnetic fields are generated by charges, currents, and changes of these fields. The equations have two major variants. The microscopic Maxwell equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale. The macroscopic Maxwell equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic scale details. The equations were published by Maxwell in his 1864 paper "A Dynamical Theory of the Electromagnetic Field". In the original paper Maxwell fully derived them from the Lorentz force law (without using the Lorentz transformation) and also from the conservation of energy and momentum.
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Okay, So the question is asking us what? The amplitude of the wave ISS. Here's what we already know. We know that the bug is gonna go from the peak of the wave at the very point here and then graphical delivery and point and then through the wave repeat cycle. Oh, well, term birthing a tool distance of point one meters. Now the amplitude how far the blood can ever get for the Equal Libre employee in either directed upper down put it down that good the amplitude. By definition, it always after height of the wave and this becomes easy to solve. 0.1 meters divide by two. That gives us 0.5 meters as the amplitude. Now the question also last says what happens to the maximum Connecticut or do the bug. If this distance were to change the 0.15 meters well, all the kinetic energy can Onley come from potential energy. The maximum kinetic energy of the simple harmonic off the layer always equals the maximum potential energy, which in turn is 1/2 of this bring constant times The amplitude squared. Now, if you multiply the height, you're also multiply the amplitude multiplying the amplitude by 1.5 well, so multiply the potential energy, the Maculan potential energy. By 2.25 Mary off, it'll multiply the maximum kinetic energy by a factor of 2.25 with 1.5 where easy.
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