{"product_id":"bertozzis-ultimate-speed-plate-030-physics-poster","title":"Bertozzi's Ultimate Speed – Plate 030 Physics Poster","description":"\u003cp\u003ePlate 30 speaks for itself: \u003cem\u003e“Push harder; it barely goes faster.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eBertozzi timed electrons over an 8.4 m flight path at kinetic energies from 0.5 to 15 MeV. Thirty times more energy barely changed the flight time: kinetic energy and momentum grow without limit, but the speed only creeps toward c.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ev = c √(1 − 1\/γ²),   γ = 1 + K\/(m_e c²)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ev: electron speed, m s⁻¹\u003c\/li\u003e\n\u003cli\u003ec: speed of light, m s⁻¹\u003c\/li\u003e\n\u003cli\u003eγ: Lorentz factor, dimensionless\u003c\/li\u003e\n\u003cli\u003eK: kinetic energy, J (quoted in MeV)\u003c\/li\u003e\n\u003cli\u003em_e c²: electron rest energy, 0.51099895 MeV\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eMIT, 1964: electrons, 0.5 to 15 MeV. 8.4 m in 32.3 ns, then 28.0 ns.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e The extra push goes into energy and momentum (p = γ m v), not into a growing mass; the old idea of 'relativistic mass' is avoided here. The 4.5 and 15 MeV points involve acceleration along the path.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eW. Bertozzi, Am. J. Phys. 32, 551 (1964).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 030, “Bertozzi's Ultimate Speed”: the pixel-art plate with its slogan “Push harder; it barely goes faster.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50961875894375,"sku":"21217281091021247446","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961875927143,"sku":"22150611469944399436","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961875959911,"sku":"22207662442897266819","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961875992679,"sku":"18432470681399339179","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961876025447,"sku":"30365450168425002210","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961876058215,"sku":"29146255179634628806","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961876090983,"sku":"30108875629844652041","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961876123751,"sku":"25487790473983777963","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961876156519,"sku":"94372585284708788969","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/14461135051663216008_2048.jpg?v=1793633528","url":"https:\/\/pixelatedphysics.com\/fr\/products\/bertozzis-ultimate-speed-plate-030-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}