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| + | <meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda"> | ||
| + | <meta name="description" content="According to reliable information, Baron Munchausen once got bogged down in a swamp and pulled himself out by the hair. What laws of physics did the baron break?"> | ||
| + | <meta name="author" content="Aliaksandr Melnichenka"> | ||
| + | <meta name="date" content="2023-10" scheme="YYYY-MM"> | ||
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| + | <header style="text-align:center;"> | ||
| + | <h2>Solutions of Savchenko Problems in Physics</h2> | ||
| + | <p class="author"> | ||
| + | Aliaksandr Melnichenka <br/> | ||
| + | October 2023 | ||
| + | </p> | ||
| + | </header> | ||
| + | |||
| + | <h3 id="back-link"><a href="../../#2.1">$\leftarrow$Back</a></h3> | ||
| + | |||
| + | <h3> Statement </h3> | ||
| + | <p> | ||
| + | $2.1.1.$ According to reliable information, Baron Munchausen once got bogged down in a swamp and pulled himself out by the hair. What laws of physics did the baron break? | ||
| + | </p> | ||
| + | |||
| + | <h3>Solution</h3> | ||
| + | <p> | ||
| + | <p>Since the sum of external forces is zero, the center of mass of the baron-horse system is at rest (according to the problem statement, the baron is stuck in a swamp).</p> | ||
| + | <p> | ||
| + | We will consider the mechanical system that includes the baron-horse to be closed. There are no external forces inside the closed mechanical system, the interaction is caused only between the bodies of the baron-horse system, more precisely, the hand and the pigtail on the baron's head. | ||
| + | </p> | ||
| + | <p> | ||
| + | |||
| + | According to Newton's third law, forces arise in pairs equal in magnitude, directed along the same straight line and opposite in direction. Thus, the geometric sum of the internal forces and moments of these forces relative to the fixed center is zero. The baron violated Newton's third law. | ||
| + | |||
| + | </p> | ||
| + | |||
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| + | <small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small> | ||
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| + | <small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small> | ||
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| @@ -0,0 +1,76 @@ | |||
| <!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"> | |||
| <meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda"> | |||
| <meta name="description" content="According to reliable information, Baron Munchausen once got bogged down in a swamp and pulled himself out by the hair. What laws of physics did the baron break?"> | |||
| <meta name="author" content="Aliaksandr Melnichenka"> | |||
| <meta name="date" content="2023-10" scheme="YYYY-MM"> | |||
| <meta property="og:title" content="According to reliable information, Baron Munchausen once got bogged down in a swamp and pulled himself out by the hair. What laws of physics did the baron break?"> | |||
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| <meta name="yandex-verification" content="6cfda41f74038368"> | |||
| <title>According to reliable information, Baron Munchausen once got bogged down in a swamp and pulled himself out by the hair. What laws of physics did the baron break?</title> | |||
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| processClass: 'tex2jax', | |||
| ignoreClass: 'html' | |||
| }, | |||
| showProcessingMessages: false, | |||
| messageStyle: 'none' | |||
| }); | |||
| </script> | |||
| </head> | |||
| <body style=""> | |||
| <header style="text-align:center;"> | |||
| <h2>Solutions of Savchenko Problems in Physics</h2> | |||
| <p class="author"> | |||
| Aliaksandr Melnichenka <br/> | |||
| October 2023 | |||
| </p> | |||
| </header> | |||
| <h3 id="back-link"><a href="../../#2.1">$\leftarrow$Back</a></h3> | |||
| <h3> Statement </h3> | |||
| <p> | |||
| $2.1.1.$ According to reliable information, Baron Munchausen once got bogged down in a swamp and pulled himself out by the hair. What laws of physics did the baron break? | |||
| </p> | |||
| <h3>Solution</h3> | |||
| <p> | |||
| <p>Since the sum of external forces is zero, the center of mass of the baron-horse system is at rest (according to the problem statement, the baron is stuck in a swamp).</p> | |||
| <p> | |||
| We will consider the mechanical system that includes the baron-horse to be closed. There are no external forces inside the closed mechanical system, the interaction is caused only between the bodies of the baron-horse system, more precisely, the hand and the pigtail on the baron's head. | |||
| </p> | |||
| <p> | |||
| According to Newton's third law, forces arise in pairs equal in magnitude, directed along the same straight line and opposite in direction. Thus, the geometric sum of the internal forces and moments of these forces relative to the fixed center is zero. The baron violated Newton's third law. | |||
| </p> | |||
| <footer class="row container"> | |||
| <br> | |||
| <p> | |||
| <small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small> | |||
| </p> | |||
| <p> | |||
| <small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small> | |||
| </p> | |||
| </footer> | |||
| </body> | |||
| </html> | |||