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A wave with a frequency of 220 $\mathrm{Hz}$ and …

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Problem 83 Easy Difficulty

A 10.0 -m-long wire of mass 152 $\mathrm{g}$ is stretched under a tension of 255 $\mathrm{N} .$ A pulse is generated at one end, and 20.0 $\mathrm{ms}$ later a second pulse is generated at the opposite end. Where will the two pulses first meet?


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Physics 102 Electricity and Magnetism

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Chapter 15

Wave Motion

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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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Video Transcript

in this problem, we have given mass which is 1 52 g or we can write 0.152 kg and we have given the length off via which is equal to then we did. We know that the speed these equal toe will be equal toe tension divided by mu. And here attention is given with just 2 55 Newton and Muse equal toe everybody El Reno. So we put the value off M, which is 0.152 divided by l. So value off Kristen so he can write. The speed will be equal toe 1 29 went 52 m per second. Now we know that the total distance traveled by the two pulses will be equal to the lead off wire. And so suppose the length of wire we will right be even plus due to de even is the distance traveled by the first wells in time. Even so, we can write we into even now d two is the distance traveled by the second pulse in Time t two we can write the to Tito and we know that he too is 20 milliseconds sorter. That means T two is equal toe even minus 29 to 10 to the power minus three seconds. So l will be equal toe be and to even less the into T two is replaced White even minus 20 in to 10 to the power minus three. No, we can Right here. Stephen is equal to helpless. Two into 10, 3 hours minus two into V, divided by toe. Do the Now we will put the value office speed here while putting valley off speed and l, which is 10 m plus two into 10 to the power minus two into speed, which is 1. 29.5 to divide very twice off 1. 29.52 So that time divan is equal to 4.86 in 2. 10 to the power minus two seconds. So from here we can find the distance divan which is equal to V into T. Even so, we're multiplying the speed in times even we will get. This divan is equal to 6.3 0 m so we can see the two pulses meted 6.30 m from the end were the first both generated. So what answer will be 6.30

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