Chitsanzo cha Mafunso Okambirana Okhudza Kuchuluka kwa Nthawi
Mu fizikisi, lingaliro la kukulitsa nthawi ndi chinthu chosangalatsa komanso chosangalatsa mkati mwa chiphunzitso chapadera cha Albert Einstein cha ubale. Chiphunzitsochi chimapereka lingaliro latsopano la momwe malo ndi nthawi sizili zinthu zenizeni koma zogwirizana, zimadalira liwiro ndi mphamvu yokoka. Nkhaniyi ifufuza mwatsatanetsatane kukulitsa nthawi ndikupereka zitsanzo.
Maziko a Chiphunzitso Chapadera cha Kugwirizana
Chiphunzitso chapadera cha ubale chimanena kuti malamulo a fizikisi ndi ofanana kwa owonera onse omwe akuyenda molunjika pa liwiro losasintha mokhudzana ndi wina ndi mnzake (mafelemu osasinthika a reference). Chimodzi mwa zotsatira zazikulu za chiphunzitsochi ndikuti liwiro la kuwala mu vacuum ndi losasintha ndipo silidalira kuyenda kwa gwero kapena wowonera.
Kuchuluka kwa nthawi kumachitika chifukwa cha mfundo ziwirizi. Izi zimati nthawi imayenda pang'onopang'ono kwambiri ngati chinthu chikuyenda pafupi ndi liwiro la kuwala poyerekeza ndi wowonera wosakhazikika.
Fomula Yokulitsa Nthawi
Fomula yomwe imagwiritsidwa ntchito kuwerengera nthawi yowonjezereka ndi iyi:
\[ \Delta t' = \frac{\Delta t}{\sqrt{1 – \frac{v^2}{c^2}}} \]
Kumene:
– \(\Delta t'\) = nthawi yoyesedwa ndi wowonera akusuntha poyerekeza ndi chochitika chomwe chikuyesedwa.
– \(\Delta t\) = nthawi yoyesedwa ndi wowonera wosasuntha (nthawi mu dongosolo lopanda mphamvu).
– \(v\) = liwiro la chinthu choyenda.
– \(c\) = liwiro la kuwala mu vacuum (\(3 \ nthawi 10^8 \) mamita pa sekondi).
Kuti timvetse bwino mfundo imeneyi, tiyeni tione zitsanzo za mafunso ndi zokambirana zake.
Chitsanzo Funso 1: Kuchuluka kwa Nthawi pa Chombo Chamlengalenga
Funso:
Chombo chamlengalenga chikuyenda pa 0.8c (80% ya liwiro la kuwala) poyerekeza ndi Dziko Lapansi. Kodi zimatenga nthawi yayitali bwanji kuti woyenda m'mlengalenga mkati mwa chombocho azitha kuwona ola limodzi la nthawi ya Dziko Lapansi?
Kukambirana:
Ndizodziwika kuti:
– \(v = 0.8c\)
– \(\Delta t = 1\) maola (nthawi ya dziko lapansi)
Kuti tipeze \(\Delta t'\) (nthawi yomwe woyendetsa ndegeyo adakumana nayo mumlengalenga), timagwiritsa ntchito njira yotalikitsira nthawi:
\[ \Delta t' = \frac{\Delta t}{\sqrt{1 – \frac{v^2}{c^2}}} \]
M'malo mwa mfundo zodziwika bwino:
\[ \Delta t' = \frac{1 \text{ ola}}{\sqrt{1 – (0.8)^2}} \]
\[ \Delta t' = \frac{1 \text{ ola}}{\sqrt{1 – 0.64}} \]
\[ \Delta t' = \frac{1 \text{ ola}}{\sqrt{0.36}} \]
\[ \Delta t' = \frac{1 \text{ ola}}{0.6} \]
\[ \Delta t' = \frac{1 \text{ hours}}{0.6} \pafupifupi 1.67 \text{ hours} \]
Kotero, nthawi yomwe woyendetsa ndege mu chombo chamlengalenga amafunika kuti aone ola limodzi la nthawi ya Dziko Lapansi ndi pafupifupi maola 1.67.
Chitsanzo Funso 2: Zotsatira za Liwiro pa Kuchuluka kwa Nthawi
Funso:
Ngati nthawi yomwe wowonera padziko lapansi (inertial system time) imayesedwa ndi zaka ziwiri, ndipo chombo cha m'mlengalenga chikuyenda pa 90% ya liwiro la kuwala, kodi wokwera chombo cham'mlengalenga amayesedwa ndi nthawi yanji?
Kukambirana:
Ndizodziwika kuti:
– \(v = 0.9c\)
– \(\Delta t = 2\) zaka
Kuti tipeze \(\Delta t'\) (nthawi yomwe wokwera ndegeyo adakumana nayo), timagwiritsa ntchito njira yotalikitsira nthawi:
\[ \Delta t' = \frac{\Delta t}{\sqrt{1 – \frac{v^2}{c^2}}} \]
M'malo mwa mfundo zodziwika bwino:
\[ \Delta t' = \frac{2 \text{ years}}{\sqrt{1 – (0.9)^2}} \]
\[ \Delta t' = \frac{2 \text{ years}}{\sqrt{1 – 0.81}} \]
\[ \Delta t' = \frac{2 \text{ years}}{\sqrt{0.19}} \]
\[ \Delta t' = \frac{2 \text{ years}}{0.4359} \]
\[ \Delta t' \pafupifupi 4.59 \malemba{zaka} \]
Kotero, nthawi yomwe okwera mu chombocho amayezedwa ndi pafupifupi zaka 4.59.
Chitsanzo Funso 3: Nthawi Yokhala ndi Kusinthasintha Kwautali
Funso:
Tinthu tating'onoting'ono tikuyenda pa liwiro la 0.6c poyerekeza ndi labu. Woyang'anira mu labu amayesa theka la moyo wa tinthu tating'onoting'ono ngati ma microsecond awiri. Kodi theka la moyo wa tinthu tating'onoting'ono timayesedwa bwanji?
Kukambirana:
Ndizodziwika kuti:
– \(v = 0.6c\)
– \(\Delta t = 2\) ma microseconds
Kuti mupeze \(\Delta t'\), gwiritsani ntchito fomula iyi:
\[ \Delta t' = \frac{\Delta t}{\sqrt{1 – \frac{v^2}{c^2}}} \]
M'malo mwa mfundo zodziwika bwino:
\[ \Delta t' = \frac{2 \text{ microseconds}}{\sqrt{1 – (0.6)^2}} \]
\[ \Delta t' = \frac{2 \text{ microseconds}}{\sqrt{1 – 0.36}} \]
\[ \Delta t' = \frac{2 \text{ microseconds}}{\sqrt{0.64}} \]
\[ \Delta t' = \frac{2 \text{ microseconds}}{0.8} \]
\[ \Delta t' = 2.5 \text{ microseconds} \]
Motero, theka la moyo wa dongosolo la tinthu ndi 2.5 microseconds.
Kusanthula ndi Kutsiliza
Kuchokera ku zitsanzo zomwe zili pamwambapa, titha kuwona momwe kukulitsa nthawi kumathandizira kwambiri kumvetsetsa kuti nthawi si yokhazikika. Owonera m'magawo osiyanasiyana a inertia akhoza kukhala ndi miyeso yosiyana ya nthawi pa chochitika chomwecho.
Kumvetsetsa bwino za kufalikira kwa nthawi kumatsegula chitseko cha zinthu zambiri zamakono, kuphatikizapo za ma satellites a GPS, omwe amafunika kusintha kogwirizana kuti agwire ntchito molondola. Kuphatikiza apo, lingaliro ili limayesa malingaliro athu kuti timvetse chilengedwe ndi zenizeni kuchokera ku lingaliro lolemera komanso lovuta kwambiri.
Motero, kukulitsa nthawi sikungokhala lingaliro longopeka chabe komanso kumagwira ntchito zambiri pakukula kwa ukadaulo ndi chidziwitso cha sayansi chokhudza chilengedwe chonse chozungulira ife. Kumvetsetsa mfundo izi ndi gawo lofunika kwambiri paulendo wathu wodziwa bwino ukadaulo wamtsogolo ndikuyankha mafunso ofunikira okhudza mtundu wa mlengalenga ndi nthawi.
