Added 1.1.1 and 1.1.2 on english
en/1.1.1.md
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| + | <!DOCTYPE html> | ||
| + | <html lang="en"> | ||
| + | |||
| + | <head> | ||
| + | <meta charset="UTF-8" /> | ||
| + | <meta name="viewport" content="width=device-width, initial-scale=1.0" /> | ||
| + | <meta http-equiv="content-language" content="en"> | ||
| + | <script async src="https://www.googletagmanager.com/gtag/js?id=G-DDMB38YMLD"></script> | ||
| + | |||
| + | <title>Savchenko Solutions</title> | ||
| + | <meta property="og:image" content="img/logo.png"> | ||
| + | <meta property="og:title" content="Savchenko Solutions"/> | ||
| + | <meta name="description" | ||
| + | content="A website with solutions to physics problems from Savenko Textbook" /> | ||
| + | <meta name="keywords" content="physics, olympiads, ipho, savchenko" /> | ||
| + | <link rel="stylesheet" href="https://savchenko-physics.github.io/css/css-latex/style.css" /> | ||
| + | <link rel="icon" type="image/x-icon" href="https://savchenko-physics.github.io/img/favicon.ico"> | ||
| + | </head> | ||
| + | |||
| + | <body id="top"> | ||
| + | <header> | ||
| + | <h2>Solutions of Savchenko Physics Textbook</h2> | ||
| + | <p class="author"> | ||
| + | Aliaksandr Melnichenka <br/> | ||
| + | October 2023 | ||
| + | </p> | ||
| + | </header> | ||
| + | |||
| + | <main> | ||
| + | <article> | ||
| + | <h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3> | ||
| + | |||
| + | <h4>Statement</h4> | ||
| + | <p> | ||
| + | $1.1.1.$ | ||
| + | Figure$^{*)}$ shows a "blurred photograph" of a jet airplane in flight. The length of the airplane is 30 m, the length of its nose is 10 m. Determine | ||
| + | from this "photograph" the speed of the airplane. The shutter exposure time is 0.1 s. The shape | ||
| + | of the airplane is shown in the figure with a dashed line. | ||
| + | </p> | ||
| + | <center> | ||
| + | <figure> | ||
| + | <img src="statement.png" | ||
| + | loading="lazy" alt="1.1.1" width="150" /> | ||
| + | <figcaption> | ||
| + | For the 1.1.1 problem | ||
| + | </figcaption> | ||
| + | </figure> | ||
| + | </center> | ||
| + | <h4>Solution</h4> | ||
| + | <center> | ||
| + | <figure> | ||
| + | <img src="1.1.1.png" | ||
| + | loading="lazy" alt="1.1.1" width="250" /> | ||
| + | <figcaption> | ||
| + | 1.1.1. Airplane photo | ||
| + | </figcaption> | ||
| + | </figure> | ||
| + | </center> | ||
| + | <p class="TxtSolutions"> | ||
| + | To find the velocity of the airplane it is necessary to determine the vector of its displacement for the time $T$, during which the shutter of the camera is open. Let us select the initial point $1$ in the photograph and determine the distance it will move during the time $T$. The length of the airplane must be subtracted from the total length of the photograph. Taking into account the scale, the modulus of displacement will be | ||
| + | </p> | ||
| + | <p class="TxtSolutions" style="text-align: center;"> | ||
| + | $l=50-30 = 20 \;m$ | ||
| + | </p> | ||
| + | <p class="TxtSolutions"> | ||
| + | For the 0.1 s aiplane covered a distance of $20\; m$, which corresponds to velosity of | ||
| + | </p> | ||
| + | <p class="TxtSolutions" style="text-align: center;"> | ||
| + | |||
| + | $\boxed{v = \frac{l}{T} = 200\; m/s}$ | ||
| + | </p> | ||
| + | </article> | ||
| + | </main> | ||
| + | |||
| + | <script> | ||
| + | MathJax = { | ||
| + | tex: { | ||
| + | inlineMath: [['$', '$'],], | ||
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| + | const typeFaceToggle = document.getElementById('typeface-toggle') | ||
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| + | darkModeToggle.addEventListener('click', () => { | ||
| + | document.body.classList.toggle('latex-dark') | ||
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| + | |||
| + | </body> | ||
| + | |||
| + | </html> | ||
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| <!DOCTYPE html> | |||
| <html lang="en"> | |||
| <head> | |||
| <meta charset="UTF-8" /> | |||
| <meta name="viewport" content="width=device-width, initial-scale=1.0" /> | |||
| <meta http-equiv="content-language" content="en"> | |||
| <script async src="https://www.googletagmanager.com/gtag/js?id=G-DDMB38YMLD"></script> | |||
| <title>Savchenko Solutions</title> | |||
| <meta property="og:image" content="img/logo.png"> | |||
| <meta property="og:title" content="Savchenko Solutions"/> | |||
| <meta name="description" | |||
| content="A website with solutions to physics problems from Savenko Textbook" /> | |||
| <meta name="keywords" content="physics, olympiads, ipho, savchenko" /> | |||
| <link rel="stylesheet" href="https://savchenko-physics.github.io/css/css-latex/style.css" /> | |||
| <link rel="icon" type="image/x-icon" href="https://savchenko-physics.github.io/img/favicon.ico"> | |||
| </head> | |||
| <body id="top"> | |||
| <header> | |||
| <h2>Solutions of Savchenko Physics Textbook</h2> | |||
| <p class="author"> | |||
| Aliaksandr Melnichenka <br/> | |||
| October 2023 | |||
| </p> | |||
| </header> | |||
| <main> | |||
| <article> | |||
| <h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3> | |||
| <h4>Statement</h4> | |||
| <p> | |||
| $1.1.1.$ | |||
| Figure$^{*)}$ shows a "blurred photograph" of a jet airplane in flight. The length of the airplane is 30 m, the length of its nose is 10 m. Determine | |||
| from this "photograph" the speed of the airplane. The shutter exposure time is 0.1 s. The shape | |||
| of the airplane is shown in the figure with a dashed line. | |||
| </p> | |||
| <center> | |||
| <figure> | |||
| <img src="statement.png" | |||
| loading="lazy" alt="1.1.1" width="150" /> | |||
| <figcaption> | |||
| For the 1.1.1 problem | |||
| </figcaption> | |||
| </figure> | |||
| </center> | |||
| <h4>Solution</h4> | |||
| <center> | |||
| <figure> | |||
| <img src="1.1.1.png" | |||
| loading="lazy" alt="1.1.1" width="250" /> | |||
| <figcaption> | |||
| 1.1.1. Airplane photo | |||
| </figcaption> | |||
| </figure> | |||
| </center> | |||
| <p class="TxtSolutions"> | |||
| To find the velocity of the airplane it is necessary to determine the vector of its displacement for the time $T$, during which the shutter of the camera is open. Let us select the initial point $1$ in the photograph and determine the distance it will move during the time $T$. The length of the airplane must be subtracted from the total length of the photograph. Taking into account the scale, the modulus of displacement will be | |||
| </p> | |||
| <p class="TxtSolutions" style="text-align: center;"> | |||
| $l=50-30 = 20 \;m$ | |||
| </p> | |||
| <p class="TxtSolutions"> | |||
| For the 0.1 s aiplane covered a distance of $20\; m$, which corresponds to velosity of | |||
| </p> | |||
| <p class="TxtSolutions" style="text-align: center;"> | |||
| $\boxed{v = \frac{l}{T} = 200\; m/s}$ | |||
| </p> | |||
| </article> | |||
| </main> | |||
| <script> | |||
| MathJax = { | |||
| tex: { | |||
| inlineMath: [['$', '$'],], | |||
| }, | |||
| } | |||
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| const typeface = document.getElementById('typeface') | |||
| typeFaceToggle.addEventListener('click', () => { | |||
| document.body.classList.toggle('libertinus') | |||
| typeface.textContent = document.body.classList.contains('libertinus') ? 'Libertinus' : 'Latin Modern' | |||
| }) | |||
| const darkModeToggle = document.getElementById('dark-mode-toggle') | |||
| darkModeToggle.addEventListener('click', () => { | |||
| document.body.classList.toggle('latex-dark') | |||
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