Ifomula Yokudonsa Amandla
Amandla adonsela phansi angenye yezinto zemvelo eziyisisekelo nezibaluleke kakhulu ku-physics. Amandla adonsela izinto ezimbili zesisindo esithile komunye nomunye. Umqondo wamandla adonsela phansi waqala ukufundwa ngokujulile nguSir Isaac Newton ngekhulu le-17, futhi kusukela ngaleso sikhathi, ukuqonda kwethu amandla adonsela phansi kuthuthuke kakhulu, ngeminikelo ebalulekile evela kumbono ka-Albert Einstein wokuhlobana okujwayelekile. Lesi sihloko sizobuyekeza umqondo wamandla adonsela phansi, ifomula eyisisekelo kaNewton yamandla adonsela phansi, kanye nendlela umbono wamandla adonsela phansi oye washintsha ngayo ngokuhamba kwesikhathi.
Ukuqonda Amandla Adonsela Phansi
Amandla adonsela phansi ngamandla okukhanga ayenzeka phakathi kwezinto ezimbili ezinobunzima. La mandla abangela izimo zemvelo ezahlukahlukene, njengokuwa kwezinto phansi, ukunyakaza kwamaplanethi azungeze ilanga, kanye nokwakheka kwezakhiwo ezinkulu ze-cosmic. Nakuba amandla adonsela phansi engenye yamandla amane ayisisekelo endaweni yonke, abuthakathaka kakhulu uma eqhathaniswa namandla enuzi aqinile, amandla enuzi abuthakathaka, kanye namandla kagesi kagesi. Kodwa-ke, amandla adonsela phansi anokufinyelela okungenamkhawulo, okwenza abaluleke kakhulu esikalini se-cosmic.
Umthetho KaNewton Wokudonsa Amandla
Ifomula eyaziwa kakhulu yamandla adonsela phansi yi-Newton's Law of Universal Gravitation, ethi amandla adonsela phansi phakathi kwezinto ezimbili alingana ngqo nomkhiqizo wobuningi bazo futhi alingana ngokuphambene nesikwele sebanga eliphakathi kwezikhungo zazo zobukhulu. Ngokwezibalo, le fomula ivezwa kanje:
\[ F = G \frac{m_1 \cdot m_2}{r^2} \]
Di mana:
– \( F \) amandla adonsela phansi phakathi kwezinto ezimbili (Newton, N),
– \( G \) kuyinto engaguquki yendawo yonke (\( 6.67430 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)),
– \( m_1 \) kanye \( m_2 \) yizinqwaba zezinto ezimbili (amakhilogramu, kg),
– \( r \) ibanga eliphakathi kwezindawo zobunzima bezinto ezimbili (amamitha, m).
I-Universal Gravitational Constant (G)
I-universal gravitational constant, \(G \), iyisici esincane kakhulu futhi kunzima ukukala ngokunemba okuphezulu. Kodwa-ke, isilinganiso sokuqala esiphumelelayo senziwa nguHenry Cavendish ngo-1798. Ukuhlola kwakhe, okwaziwa ngokuthi “ukuhlolwa kweCavendish,” kwasebenzisa umsebe wokugoba ukuze kulinganiswe amandla amancane kakhulu phakathi kobuningi obaziwayo.
Ukusetshenziswa kweFomula kaNewton yokuGxila
Umthetho kaNewton wokudonsa umhlaba wonke unezindlela eziningi ezibalulekile zokusebenzisa. Omunye wabo ukubala isisindo sezinto ezisebusweni boMhlaba. Isisindo amandla adonsela phansi asebenza esisindo sento. Ifomula yokubala isisindo (W) ithi:
\[ W = m \cdot g \]
Di mana:
– \( W \) isisindo sento (Newton, N),
– \( m \) isisindo sento (ikhilogremu, kg),
– \( g \) ukusheshisa okubangelwa amandla adonsela phansi eMhlabeni (cishe \( 9.8 \, \text{m/s}^2 \) ebusweni boMhlaba).
Lo mthetho usetshenziselwa nokubala imijikelezo yamaplanethi, izinyanga, kanye nama-satellite okwenziwa. Ngokomongo wesayensi yezinkanyezi, le fomula isenza siqonde ukuthi amaplanethi axhumana kanjani wodwa kanye nezinkanyezi zawo.
Ukulinganiselwa Komthetho KaNewton Wokudonsa Amandla
Nakuba uMthetho kaNewton Wokudonsa Okujwayelekile uwusizo kakhulu futhi unembile ezimweni eziningi, unemikhawulo ephakama ngaphansi kwezimo ezithile. Omunye umkhawulo onjalo usezikalini ezinkulu kakhulu ze-cosmic noma emasimini anamandla kakhulu adonsela phansi, njengasezimbotsheni ezimnyama eziseduze. Kulezi zimo, inkolelo-mbono ka-Albert Einstein yokuhlobana okujwayelekile inikeza incazelo enembile kakhulu yamandla adonsela phansi.
Umbono Ka-Einstein Ojwayelekile Wokuhlobana
U-Albert Einstein waphakamisa umbono wakhe ojwayelekile wokuhlobana kwezinto ngo-1915, owashintsha ukuqonda kwethu amandla adonsela phansi. Kulo mbono, amandla adonsela phansi akuwona amandla asebenza phakathi kwezinto eziningi, kodwa umphumela wokugoba kwesikhala nesikhathi okubangelwa ubunzima namandla. Ifomula eyisisekelo yokuhlobana kwezinto eziningi yi-equation yasensimini ka-Einstein:
\[ R_{\mu\nu} – \frac{1}{2} R g_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu} \]
Di mana:
– \( R_{\mu\nu} \) yi-Ricci tensor echaza ukugoba kwesikhathi sesikhala,
– \( R \) iyi-scalar kaRicci,
– \( g_{\mu\nu} \) yi-metric tensor echaza i-geometry yesikhala-isikhathi,
– \( \Lambda \) kuyinto engaguquki ye-cosmological,
– \( G \) kuyinto engaguquki,
– \( c \) ijubane lokukhanya endaweni engenalutho,
– \( T_{\mu\nu} \) yi-tensor yamandla-umfutho echaza ukusatshalaliswa kwamandla kanye nomfutho esikhathini sesikhala.
Ithiyori evamile yokuhlobana kwezinto isenza siqonde izinto ezahlukahlukene umthetho kaNewton wamandla adonsela phansi ongenakukwazi ukuzichaza, njengokubona amandla adonsela phansi, ukujikeleza komjikelezo weMercury, kanye nokwanda kwendawo yonke. Iphinde ibikezele ukuba khona kwamagagasi adonsela phansi, atholwa okokuqala ngqo yi-Laser Interferometer Gravitational-Wave Observatory (LIGO) ngo-2015.
Okutholiwe Kwamuva Nentuthuko
Ukutholakala kwamagagasi adonsela phansi kungenye yezimpumelelo ezinkulu kakhulu kwifiziksi yesimanje, okunikeza ubufakazi obuqondile besinye sezibikezelo ezibalulekile zenkolelo-mbono evamile yokuhlobana kwezinto. Lokhu kutholwa kuvula ifasitela elisha endaweni yonke kanye nokutadisha izehlakalo ezinkulu kakhulu zendawo yonke, njengokushayisana phakathi kwemigodi emnyama nezinkanyezi ze-neutron.
Ngaphezu kwalokho, ucwaningo ngezinto ezimnyama kanye namandla amnyama lubonisa ukuthi amandla adonsela phansi angase abe nezici ezingakaqondakali ngokugcwele. Izinto ezimnyama kanye namandla amnyama kubonakala sengathi zibusa indawo yonke, kodwa azikhiphi noma azimunci ukukhanya, okwenza kube nzima ukuzibona ngqo. Kodwa-ke, imiphumela yamandla adonsela phansi yezinto ezimnyama ingabonakala ngokusebenzisa amalensi adonsela phansi kanye nokunyakaza kwemithala.
Isiphetho
Umthetho wamandla adonsela phansi ungomunye wemibono eyisisekelo nebaluleke kakhulu ku-physics, uguqula indlela esiqonda ngayo indawo yonke. Kusukela emthethweni kaNewton wamandla adonsela phansi emhlabeni wonke kuya kumbono ka-Einstein wokuhlobana okujwayelekile, ukuqonda kwethu amandla adonsela phansi kushintshe kakhulu. Ucwaningo lwakamuva kanye nokutholwa kuyaqhubeka nokuphonsela inselelo futhi kujulisa ukuqonda kwethu, kuvule indlela yokuthola izinto zesikhathi esizayo. Amandla adonsela phansi aseyinsimu yocwaningo esebenzayo futhi ethokozisayo, enezimfihlakalo eziningi ezingakaxazululwa.
