{"id":60713,"date":"2026-02-19T05:13:04","date_gmt":"2026-02-18T20:13:04","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=60713"},"modified":"2026-02-19T05:13:23","modified_gmt":"2026-02-18T20:13:23","slug":"two-beespies-one-trick-a-mind-blowing-experiment-to-visualize-motion-equations","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=60713&lang=en","title":{"rendered":"Two BeeSpies, One Trick! A Mind-Blowing Experiment to Visualize Motion Equations"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #339966;\"><strong>I&#8217;m Ken Kuwako, your science trainer. Every day is an experiment!<\/strong><\/span><\/p>\n<p>Did you know that every movement around us is actually governed by a single, elegant law? From the resistance you feel when pushing a heavy box to the thrilling acceleration of a bike speeding down a hill\u2014these experiences were unlocked through the language of mathematics by Isaac Newton as his Laws of Motion (The Equation of Motion). Today, I want to show you how we can reveal this fundamental rule of the universe using simple tools you\u2019d find in a typical classroom.<\/p>\n<h3>The Magic of Two Speedometers<\/h3>\n<p>In Japanese science classrooms, the <a href=\"https:\/\/amzn.to\/4rp6Xen\">Bee-Spi<\/a> is a well-known tool for measuring speed.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-60709\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.06.45.jpeg\" alt=\"\" width=\"176\" height=\"167\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.06.45.jpeg 512w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.06.45-300x285.jpeg 300w\" sizes=\"auto, (max-width: 176px) 100vw, 176px\" \/><\/p>\n<p>Usually, it&#8217;s used to measure the velocity of an object passing through it. However, if you line up two of these devices, you can accurately calculate acceleration\u2014the rate at which an object&#8217;s momentum increases.<\/p>\n<p>The setup is surprisingly simple. Fix two Bee-Spis at a measured distance from each other, and attach a simple wooden chopstick to the front of your cart. As the chopstick passes through the first Bee-Spi, we get the initial velocity; as it hits the second, we get the final velocity. Here is where the physics gets exciting: by plugging those numbers into this formula,<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-60711 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.07.25.jpeg\" alt=\"\" width=\"142\" height=\"39\" \/><\/p>\n<p>we can calculate acceleration, a force that is usually invisible to the naked eye. You can see the experiment in action here:<\/p>\n<p><iframe loading=\"lazy\" title=\"\u904b\u52d5\u306e\u6cd5\u5247\u306e\u5b9f\u9a13\u306e\u69d8\u5b50\u3010\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u3011\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/OB0IqXNKz9A?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<h3>The Challenge of Constant Force<\/h3>\n<p>The biggest hurdle in this experiment is pulling the cart with a perfectly consistent force. If you try to pull it by hand, the force inevitably fluctuates, making it impossible to gather precise data. To solve this, I used a professional piece of equipment called the Yagami Constant Force Device. This allows us to apply a steady, unwavering pull throughout the entire experiment.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-60710 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.06.50.jpeg\" alt=\"\" width=\"238\" height=\"190\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.06.50.jpeg 476w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-02-19-5.06.50-300x239.jpeg 300w\" sizes=\"auto, (max-width: 238px) 100vw, 238px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-31707 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/aac0958995a672773671b3bd952d1295.png\" alt=\"\" width=\"484\" height=\"310\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/aac0958995a672773671b3bd952d1295.png 484w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/aac0958995a672773671b3bd952d1295-300x192.png 300w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/>By refining the setup like this, the beautiful laws of nature finally begin to show themselves.<\/p>\n<h3>The Rules of the Universe on a Graph<\/h3>\n<p>During the experiment, we collect data repeatedly by changing the mass (adding weights to the cart) or adjusting the amount of pulling force. When you plot these values on a graph, a strikingly clear relationship emerges:<\/p>\n<p style=\"text-align: center;\">a = k F \/ m<\/p>\n<p>This tells us that acceleration is directly proportional to force and inversely proportional to mass. This very equation, ma = F, discovered by Newton in the 17th century, is the same one used today to launch rockets to the moon and control the brakes on self-driving cars. Isn&#8217;t it incredible to think that simple tools like chopsticks and speedometers can connect us to the grand laws that rule the cosmos?<\/p>\n<h3>Inquiries and Requests<\/h3>\n<p>Bringing the wonders of science closer to you! I share fun experiments you can try at home and tips on how to make them work. Feel free to explore more!<\/p>\n<p>The Science Note Book is now a book! Details <a href=\"https:\/\/amzn.to\/42PMCEL\">here<\/a>.<\/p>\n<p>Learn more about Ken Kuwako <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=37\">here<\/a>.<\/p>\n<p>For work requests (writing, speaking, workshops, TV supervision\/appearances), click <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">here<\/a>.<br \/>\n<span class=\"s2\">&#8211; Follow me on <a href=\"https:\/\/x.com\/kuwako\">X (Twitter)<\/a> for updates!<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.youtube.com\/user\/kkuwako\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-35048\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2020\/03\/3d9640dad7bc5538e76f92da1966ee19.jpg\" alt=\"\" width=\"30\" height=\"21\" \/><\/a>Check out my experiment videos on the <a href=\"https:\/\/www.youtube.com\/user\/kkuwako?sub_confirmation=1\">Science Note Channel<\/a>!<\/p>\n<h3>\uff14\u6708\u306e\u30a4\u30c1\u30aa\u30b7\u5b9f\u9a13\uff01<\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?p=46937&amp;\">\u5149\u306e\u9b54\u6cd5CMY\u30a6\u30a9\u30fc\u30bf\u30fc\u30ad\u30e5\u30fc\u30d6<\/a>\uff1a\u5149\u306e\u9b54\u6cd5\u3092\u4f53\u9a13\u305b\u3088\uff01\u6c34\u3092\u6ce8\u3050\u3068\u65b0\u305f\u306a\u7acb\u65b9\u4f53\u304c\u51fa\u73fe\u3059\u308b\u9b54\u6cd5\u306e\u3088\u3046\u306a\u5b9f\u9a13\u3067\u3059\u3002<\/li>\r\n<\/ul>\r\n<img class=\"alignnone wp-image-47312 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c.jpg\" sizes=\"auto, (max-width: 267px) 100vw, 267px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c.jpg 1292w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c-272x300.jpg 272w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c-928x1024.jpg 928w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c-768x848.jpg 768w\" alt=\"\" width=\"267\" height=\"294\" \/>\r\n<h3 style=\"text-align: left;\"><span style=\"font-size: medium;\"><b><strong>\u30c6\u30ec\u30d3\u756a\u7d44\u30fb\u79d1\u5b66\u76e3\u4fee\u7b49\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n \t<li>4\u67089\u65e5\uff08\u6728\uff09\u300cTHE\u7a81\u7834\u30d5\u30a1\u30a4\u30eb\u300d\uff08\u65e5\u672c\u30c6\u30ec\u30d3 \uff09\u306e\u79d1\u5b66\u76e3\u4fee\u3092\u884c\u3044\u307e\u3057\u305f\u3002\u591c7\u6642\u301c\u3068\u306a\u308a\u307e\u3059\u3002<\/li>\r\n<\/ul>\r\n<h3><span style=\"font-size: medium;\"><b>\u66f8\u7c4d<strong>\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?p=61585\">\u30b5\u30af\u30bb\u30b915 \uff14\u6708\u53f7<\/a>\u306b\u3066\u3001\u91ce\u7403\u306e\u79d1\u5b66\u306b\u3064\u3044\u3066\u8a18\u4e8b\u3092\u57f7\u7b46\u3057\u307e\u3057\u305f\uff082026\/3\uff09<\/li>\r\n \t<li>\u300e\u5927\u4eba\u306e\u305f\u3081\u306e\u9ad8\u6821\u7269\u7406\u5fa9\u7fd2\u5e33\u300f\uff08\u8b1b\u8ac7\u793e\uff09\u2026\u4e00\u822c\u5411\u3051\u306b\u65e5\u5e38\u306e\u7269\u7406\u306b\u3064\u3044\u3066\u516c\u5f0f\u3092\u5143\u306b\u7d10\u89e3\u304d\u307e\u3057\u305f\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=1827\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u3067\u306f\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<strong>\u203b\u5897\u5237\u304c\u304b\u304b\u308a\uff16\u5237\u3068\u306a\u308a\u307e\u3057\u305f\uff082026\/02\/01\uff09\r\n<img class=\"alignnone wp-image-10940 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg\" sizes=\"(max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0.jpg 311w\" alt=\"\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8 2014-07-05 0.43.51\" width=\"220\" height=\"192\" \/>\r\n<\/strong><\/li>\r\n \t<li>\u300e\u304d\u3081\u308b!\u5171\u901a\u30c6\u30b9\u30c8 \u7269\u7406\u57fa\u790e \u6539\u8a02\u7248\u300f\uff08\u5b66\u7814\uff09\u2026\u3000\u9ad8\u6821\u7269\u7406\u306e\u53c2\u8003\u66f8\u3067\u3059\u3002\u30a4\u30e9\u30b9\u30c8\u3092\u591a\u304f\u3057\u3066\u30a4\u30e1\u30fc\u30b8\u304c\u6301\u3066\u308b\u3088\u3046\u306b\u63cf\u304d\u307e\u3057\u305f\u3002\u6388\u696d\u306b\u3064\u3044\u3066\u3044\u3051\u306a\u3044\u3001\u7269\u7406\u304c\u82e6\u624b\u3001\u305d\u3093\u306a\u751f\u5f92\u306b\u304a\u3059\u3059\u3081\u3067\u3059\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=45322\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u306f\u3053\u3061\u3089\u3002\r\n<img class=\"alignnone wp-image-45718 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg\" sizes=\"(max-width: 184px) 100vw, 184px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg 756w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c-300x269.jpg 300w\" alt=\"\" width=\"184\" height=\"165\" \/><\/li>\r\n<\/ul>\r\n<h3><span style=\"font-size: medium;\"><b>\u8b1b\u5e2b\u30fb\u30b7\u30e7\u30fc\u30fb\u7814\u7a76\u7b49\u306e\u304a\u77e5\u3089\u305b<\/b><\/span><\/h3>\r\n<ul>\r\n \t<li>3\/20\uff08\u91d1\uff09\u3000\u65e5\u672c\u7406\u79d1\u6559\u80b2\u5b66\u4f1a\u30aa\u30f3\u30e9\u30a4\u30f3\u5168\u56fd\u5927\u4f1a2026\u300c<a href=\"https:\/\/phys-edu.net\/wp\/?p=60439\">\u6163\u6027\u306e\u6cd5\u5247\u306e\u6982\u5ff5\u5f62\u6210\u3092\u76ee\u6307\u3057\u305f\u63a2\u7a76\u7684\u306a\u5b66\u3073\u306e\u5b9f\u8df5\u300d<\/a>\u306b\u3064\u3044\u3066\u767a\u8868\u3057\u307e\u3057\u305f\u3002<\/li>\r\n \t<li>6\/14\uff08\u65e5\uff09\u3000\u5343\u8449\u5927\u5b66\u30a4\u30f3\u30b9\u30bf\u30ec\u30fc\u30b7\u30e7\u30f3\u300c\u63a2\u7a76\u300d\u306b\u3066\u8b1b\u5e2b\u3092\u52d9\u3081\u307e\u3059<\/li>\r\n \t<li>7\/18\uff08\u571f\uff09\u3000<a href=\"https:\/\/phys-edu.net\/wp\/?p=60018\">\u6559\u54e1\u5411\u3051\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\u300c\u30ca\u30ea\u30ab\u30ab\u30b5\u30a4\u30a8\u30f3\u30b9\u30a2\u30ab\u30c7\u30df\u30fc\u300d\u306e\u8b1b\u5e2b\u3092\u3057\u307e\u3059<\/a>\u3002\u304a\u4f1a\u3044\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\r\n 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href=\"https:\/\/phys-edu.net\/wp\/?p=62137&#038;lang=hi\">\u0915\u094d\u0937\u0923 \u092d\u0930 \u0915\u093e \u091a\u092e\u0924\u094d\u0915\u093e\u0930! \u092a\u093e\u0928\u0940 \u0915\u0947 \u0917\u0941\u092c\u094d\u092c\u093e\u0930\u0947 \u0915\u0947 \u0905\u0902\u0926\u0930 \u091b\u093f\u092a\u0947 \u201c\u091c\u0921\u093c\u0924\u094d\u0935 \u0915\u0947 \u0928\u093f\u092f\u092e\u201d \u0915\u094b \u092a\u0915\u0921\u093c\u094b!<\/a><time datetime=\"2026-04-06T04:47:43+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62135&#038;lang=es\" aria-label=\"\u00a1Un milagro en un instante! \u00a1Atrapa la \u201cley de la inercia\u201d escondida dentro de un globo de agua!\"><img width=\"150\" height=\"150\" 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Did you know that every movement aroun [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":31707,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","vkexunit_cta_each_option":"","footnotes":""},"categories":[781],"tags":[],"class_list":["post-60713","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-science-en"],"jetpack_featured_media_url":"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2018\/07\/aac0958995a672773671b3bd952d1295.png","jetpack-related-posts":[{"id":55644,"url":"https:\/\/phys-edu.net\/wp\/?p=55644&lang=en","url_meta":{"origin":60713,"position":0},"title":"The Pullback Physics Lab: Snap a Photo to See the Secrets of Projectile Motion!","author":"\u6851\u5b50 \u7814","date":"2025\u5e7411\u67089\u65e5","format":false,"excerpt":"I'm Ken Kuwako, your Science Trainer. 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