{"id":24878,"date":"2012-09-06T08:47:57","date_gmt":"2012-09-06T05:47:57","guid":{"rendered":"http:\/\/www.lovendal.net\/wp52\/?p=24878"},"modified":"2024-12-15T18:55:22","modified_gmt":"2024-12-15T16:55:22","slug":"cum-se-scurge-timpul-pe-o-nava-spatiala-ce-se-apropie-foarte-mult-de-viteza-luminii","status":"publish","type":"post","link":"https:\/\/www.lovendal.ro\/wp52\/cum-se-scurge-timpul-pe-o-nava-spatiala-ce-se-apropie-foarte-mult-de-viteza-luminii\/","title":{"rendered":"Iat\u0103 cum se scurge timpul pe o nav\u0103 spa\u0163ial\u0103 ce se apropie foarte mult de viteza luminii"},"content":{"rendered":"<figure id=\"attachment_96014\" aria-describedby=\"caption-attachment-96014\" style=\"width: 341px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2012\/09\/nava-spatiala-viteza-luminii-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-96014\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2012\/09\/nava-spatiala-viteza-luminii-1.jpg\" alt=\"\" width=\"351\" height=\"212\" srcset=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2012\/09\/nava-spatiala-viteza-luminii-1.jpg 542w, https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2012\/09\/nava-spatiala-viteza-luminii-1-300x181.jpg 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/a><figcaption id=\"caption-attachment-96014\" class=\"wp-caption-text\"><strong>Imagine<\/strong>: <a href=\"https:\/\/pixabay.com\/ro\/illustrations\/generate-nava-spatiala-r%C4%83zboinic-9257471\/\" target=\"_blank\" rel=\"noopener\"><strong>pixabay.com<\/strong><\/a> (Commons Creative &#8211; free)<\/figcaption><\/figure>\n<p>Dac\u0103 p\u00e2n\u0103 la galaxia Andromeda sunt vreo 2,5 milioane ani-lumin\u0103, cum se face c\u0103 o nav\u0103 spa\u0163ial\u0103 care merge (aproape) cu viteza luminii nu parcurge 2,5 milioane de ani, ci mai pu\u0163in, vreo 50 de ani!? Asta e \u00eentrebarea pe care \u015fi-o pune, pe bun\u0103 dreptate, cineva care nu pricepe prea str\u0103lucit teoria relativit\u0103\u0163ii a lui Einstein. \u00centrebare legitim\u0103, pe care mi-am pus-o \u015fi eu la timpul meu. Dar r\u0103spunsul nu-i foarte greu. Odat\u0103 cu cre\u015fterea vitezei p\u00e2n\u0103 la nivelul vitezei luminii, timpul se scurge astfel pentru cei care c\u0103l\u0103toresc cu acea nav\u0103-minune. Adic\u0103, \u00eencetine\u015fte foarte mult, ca \u015fi cum ar sta aproape pe loc \u00een timp. Desigur, pentru un observator exterior navei, timpul s-ar scurge la fel.<\/p>\n<p>Dar, s\u0103 intr\u0103m pu\u0163in \u00een detaliile problemei. Relativitatea special\u0103 a lui Einstein are drept rezultat dou\u0103 consecin\u0163e:<br \/>\n1) Dilatarea timpului.<br \/>\n2) Cre\u015fterea masei.<\/p>\n<p>\u00cen cazul timpului, exist\u0103 &#8222;dou\u0103 timpuri&#8221;, ca s\u0103 spunem a\u015fa: un timp al observatorului iner\u0163ial (care st\u0103 pe loc) \u015fi un timp al observatorului care se mi\u015fc\u0103. \u015ei exist\u0103 chiar \u015fi o formul\u0103 dup\u0103 care se poate calcula timp scurs pentru cel care se mi\u015fc\u0103:<\/p>\n<p><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2012\/09\/Ecuatie-timp.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-24879\" title=\"Ecuatie timp\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2012\/09\/Ecuatie-timp.jpg\" alt=\"\" width=\"299\" height=\"100\" \/><\/a>\u00een care:<\/p>\n<p><strong>Timp<sub>miscare<\/sub> <\/strong>= timpul scurs pentru obiectul aflat \u00een mi\u015fcare (\u00een cazul nostru, nava care se deplaseaz\u0103 cu viteza luminii);<br \/>\n<strong>Timp<sub>stationare<\/sub><\/strong> = timpul scurs pentru sistemul iner\u0163ial de referin\u0163\u0103 (\u00een cazul nostru, timpul care-l percepem noi c\u0103 se scurge pe P\u0103m\u00e2nt).<br \/>\n<strong>v<\/strong> = viteza de deplasare a navei spa\u0163iale<br \/>\n<strong>c<\/strong> = viteza luminii<\/p>\n<p>Acum, av\u00e2nd formula aceast\u0103, v\u0103 pute\u0163i juca cu ea \u015fi vedea c\u00e2t timp se scurge pe P\u0103m\u00e2nt \u015fi c\u00e2t timp se scurge pe nava spa\u0163ial\u0103 care se deplaseaz\u0103 cu viteza luminii. Aten\u0163ie \u00eens\u0103! Viteza de deplasare a navei spa\u0163iale trebuie s\u0103 fie pu\u0163in mai mic\u0103 dec\u00e2t viteza luminii, pentru c\u0103, dac\u0103 ar egala-o, timpul n-ar mai exista, devenind 0.<\/p>\n<p>Eu unul mi-am f\u0103cut un mic progr\u0103mel \u00een Excel, \u00een care am b\u0103gat viteza luminii (300.000 km\/s &#8211; \u015ftiu c\u0103 nu e exact\u0103, ci e 299.792 km\/s, dar am luat-o ca 300.000 km\/s, pentru simplificare). Apoi, m-am jucat cu diverse viteze ale navei spa\u0163iale. De exemplu, la o vitez\u0103 foarte aproape de viteza luminii, 299999,99995 km\/s, cei 2,5 milioane de ani scur\u015fi pe P\u0103m\u00e2nt, ar ar\u0103ta pe bordul navei spa\u0163iale ce ar circula cu o asemenea vitez\u0103 46 de ani! Dac\u0103 am mic\u015fora pu\u0163in viteza navei, s\u0103 spunem la 299999,8 km\/s, atunci timpul ar cre\u015fte considerabil la bordul navei, ating\u00e2nd 2.886 de ani. Dac\u0103 nava ar circula cu jum\u0103tate din viteza luminii (150.000 km\/s), timpul ar cre\u015fte \u015fi mai dramatic, la 2.165.064 de ani. Precum se observ\u0103, timpul devine din ce \u00een ce mai mic cu c\u00e2t este foarte apropiat de viteza luminii. Cu c\u00e2t se \u00eendep\u0103rteaz\u0103 de viteza luminii, timpul navei tinde s\u0103 egaleze timpul de pe P\u0103m\u00e2nt.<\/p>\n<p>V\u0103 pute\u0163i juca cu un calculator on-line al navei spa\u0163iale pe acest site: <a href=\"http:\/\/www.convertalot.com\/relativistic_star_ship_calculator.html\" target=\"_blank\" rel=\"noopener\"><strong>http:\/\/www.convertalot.com\/relativistic_star_ship_calculator.html<\/strong><\/a>. Succes!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dac\u0103 p\u00e2n\u0103 la galaxia Andromeda sunt vreo 2,5 milioane ani-lumin\u0103, cum se face c\u0103 o nav\u0103 spa\u0163ial\u0103 care merge (aproape) cu viteza luminii nu parcurge 2,5 milioane de ani, ci mai pu\u0163in, vreo 50 de ani!? Asta e \u00eentrebarea pe &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Iat\u0103 cum se scurge timpul pe o nav\u0103 spa\u0163ial\u0103 ce se apropie foarte mult de viteza luminii\" class=\"read-more button\" href=\"https:\/\/www.lovendal.ro\/wp52\/cum-se-scurge-timpul-pe-o-nava-spatiala-ce-se-apropie-foarte-mult-de-viteza-luminii\/#more-24878\" aria-label=\"Cite\u0219te mai multe despre Iat\u0103 cum se scurge timpul pe o nav\u0103 spa\u0163ial\u0103 ce se apropie foarte mult de viteza luminii\">Cititi mai multe<\/a><\/p>\n","protected":false},"author":1,"featured_media":96014,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[106],"tags":[2580,5127,610,348,433,1324,9803,1104,789,1840,2916],"class_list":["post-24878","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stiinta","tag-andromeda","tag-distanta","tag-einstein","tag-fizica","tag-galaxie","tag-nava-spatiala","tag-stiinta","tag-teoria-relativitatii","tag-timp","tag-viteza","tag-viteza-luminii","resize-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.3 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Iat\u0103 cum se scurge timpul pe o nav\u0103 spa\u0163ial\u0103 ce se apropie foarte mult de viteza luminii - Secretele lui Lovendal<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.lovendal.ro\/wp52\/cum-se-scurge-timpul-pe-o-nava-spatiala-ce-se-apropie-foarte-mult-de-viteza-luminii\/\" \/>\n<meta property=\"og:locale\" content=\"ro_RO\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Iat\u0103 cum se scurge timpul pe o nav\u0103 spa\u0163ial\u0103 ce se apropie foarte mult de viteza luminii\" \/>\n<meta property=\"og:description\" content=\"Dac\u0103 p\u00e2n\u0103 la galaxia Andromeda sunt vreo 2,5 milioane ani-lumin\u0103, cum se face c\u0103 o nav\u0103 spa\u0163ial\u0103 care merge (aproape) cu viteza luminii nu parcurge 2,5 milioane de ani, ci mai pu\u0163in, vreo 50 de ani!? 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