Ifomula Yokunyakaza Okuqondile
I-Pengantar
Ukunyakaza okuqondile kungumqondo oyisisekelo ku-physics ochaza ukunyakaza kwento emgqeni oqondile oqondile, kungaba phezulu noma phansi. Lo mqondo ubalulekile ngoba izenzakalo eziningi zansuku zonke, njengezinto eziwayo noma amarokhethi okuqalisa, zihilela ukunyakaza okuqondile. Kulesi sihloko, sizoxoxa ngamafomula ahlobene nokunyakaza okuqondile, izimiso eziyisisekelo, futhi sinikeze izibonelo zokubala ukuze sicacise umqondo.
Izimiso Eziyisisekelo Zokunyakaza Okuqondile
Ukunyakaza okuqondile ngaphansi kwethonya lamandla adonsela phansi kungahlukaniswa ngezigaba ezimbili eziyinhloko: ukuwa okukhululekile kanye nokunyakaza okuqondile ngesivinini sokuqala. Zombili izinhlobo zokunyakaza zilawulwa yimithetho kaNewton yokunyakaza kanye nethonya lamandla adonsela phansi oMhlaba.
1. Ukunyakaza Kwamahhala Kokuwa
Ukuwa okukhululekile kwenzeka lapho into iwela ngaphansi kwethonya lamandla adonsela phansi kuphela, ngaphandle kwejubane lokuqala. Ijubane lokuqala (\(v_0\)) ekuweni okukhululekile lingu-zero, futhi ukusheshisa okubonwa yinto ukusheshisa okubangelwa amandla adonsela phansi (\(g\)), okunenani elicishe libe ngu-\(9.8 \, \text{m/s}^2\).
Amafomula asebenza ekunyakazeni kokuwa kwamahhala yile:
– Isivinini (\(v\)) ngemva kwesikhathi esithile (\(t\)):
\[v = gt \]
– Ibanga elihanjiwe (\(s\)) ngemva kwesikhathi esithile (\(t\)):
\[ s = \frac{1}{2}gt^2 \]
– Ijubane (\(v\)) ngemva kokuwa kusuka ekuphakameni okuthile (\(h\)):
\[ v = \sqrt{2gh} \]
2. Ukunyakaza Okuqondile Okunejubane Lokuqala
Uma into iphonswa phezulu noma phansi ngejubane lokuqala (\(v_0\)), ukunyakaza kwayo okuqondile kuba yinkimbinkimbi kakhulu, kodwa kusengahlaziywa kusetshenziswa izimiso ezifanayo ngokwengeza ijubane lokuqala. Kulokhu, ukusheshisa ngenxa yamandla adonsela phansi (\(g\)) kusenomphumela.
Amafomula asebenza ekunyakazeni okuqondile ngesivinini sokuqala yile:
– Isivinini (\(v\)) ngemva kwesikhathi esithile (\(t\)):
\[v = v_0 – gt \]
– Ibanga elihanjiwe (\(s\)) ngemva kwesikhathi esithile (\(t\)):
\[ s = v_0 t – \frac{1}{2}gt^2 \]
– Isivinini (\(v\)) ekuphakameni okuthile (\(h\)):
\[ v = \sqrt{v_0^2 – 2gh} \]
Isibonelo Sokubala
Ukuze siqonde umqondo wokunyakaza okuqondile ngokucacile, ake sibheke ezinye izibonelo zokubala.
Isibonelo 1: Ukunyakaza Okukhululekile Kokuwa
Ake sithi ibhola liwiswe lisuka ekuphakameni kwamamitha angu-20. Sifuna ukuthola isikhathi esithathayo ukuze ibhola lifike phansi kanye nesivinini sebhola uma lifika phansi.
1. Isikhathi esidingekayo ukuze kufike phansi (\(t\)):
\[ s = \frac{1}{2}gt^2 \]
\[ 20 = \frac{1}{2} \times 9.8 \times t^2 \]
\[ 20 = 4.9t^2 \]
\[ t^2 = \frac{20}{4.9} \]
\[t^2 = 4.08 \]
\[t = \sqrt{4.08} \]
\[t \cishe 2.02 \, \umbhalo{imizuzwana} \]
2. Isivinini lapho uthinta phansi (\(v\)):
\[v = gt \]
\[v = 9.8 \izikhathi 2.02 \]
\[ v \cishe 19.8 \, \text{m/s} \]
Ngakho-ke, ibhola lizoshaya phansi cishe ngemizuzwana engu-2.02 ngesivinini esingaba ngu-19.8 m/s.
Isibonelo 2: Ukunyakaza Okuqondile Okunejubane Lokuqala Eliya Phezulu
Ake sithi itshe liphonswa phezulu ngesivinini sokuqala esingu-15 m/s. Sifuna ukuthola ukuphakama okuphezulu itshe elikufinyelelayo kanye nesikhathi esithathayo ukufinyelela lokho kuphakama.
1. Ukuphakama okuphezulu (\(h\)):
Ekuphakameni okuphezulu, ijubane lokugcina (\(v\)) lingu-zero:
\[v = v_0 – gt \]
\[0 = 15 – 9.8t \]
\[ t = \frac{15}{9.8} \]
\[t \cishe 1.53 \, \umbhalo{imizuzwana} \]
2. Ibanga elihanjiwe (ukuphakama okuphezulu) (\(h\)):
\[ s = v_0 t – \frac{1}{2}gt^2 \]
\[ h = 15 \izikhathi 1.53 – \frac{1}{2} \izikhathi 9.8 \izikhathi (1.53)^2 \]
\[h = 22.95 – 11.45 \]
\[ h \cishe 11.5 \, \text{meter} \]
Ngakho-ke, idwala lizofinyelela ukuphakama okuphezulu okungamamitha angu-11.5 cishe ngemizuzwana engu-1.53.
Izicelo Ezisebenzayo Zokunyakaza Okuqondile
Ukuqonda ukunyakaza okuqondile kubalulekile emikhakheni eminingi, okuhlanganisa:
1. Ubunjiniyela Bokwakha Nokwakha
Ekwakhiweni kwezakhiwo ezinde noma amabhuloho, onjiniyela kudingeka baqonde ukuthi izinto zizowa noma ziphonswe kanjani zisuka endaweni ethile ephakeme ukuqinisekisa ukuphepha kwabasebenzi kanye nabasebenzisi bezakhiwo.
2. Ezemidlalo
Kwezemidlalo ezifana nebhola likanobhutshuzwayo, i-basketball, kanye ne-track and field, ukuqonda ukunyakaza okuqondile kungasiza abasubathi ukuthuthukisa ukusebenza kwabo. Isibonelo, abaqeqeshi bangasebenzisa izimiso zokunyakaza okuqondile ukuqeqesha abasubathi ukuphonsa noma ukugxuma phezulu.
3. Ucwaningo Nemfundo
Ukuhlolwa okubandakanya ukunyakaza okuqondile kuvame ukwenziwa emakilasini efiziksi ukufundisa imiqondo eyisisekelo yamandla adonsela phansi kanye nokunyakaza. Lokhu kusiza abafundi baqonde ukuthi izinto zihamba kanjani ngaphansi kwethonya lamandla adonsela phansi.
4. Ubuchwepheshe Besikhala
Ekuqalisweni kwerokhethi, ukuqonda ukunyakaza okuqondile kubalulekile ekuklameni izindlela zokundiza ezifanele. Onjiniyela bezindiza basebenzisa izimiso zokunyakaza okuqondile ukuqinisekisa ukuthi irokhethi ifinyelela umjikelezo wayo owufunayo.
Isiphetho
Ukunyakaza okuqondile kungumqondo oyisisekelo ku-physics ohilela ukunyakaza kwezinto emgqeni oqondile oqondile ngaphansi kwethonya lamandla adonsela phansi. Ngokuqonda amafomula nezimiso eziyisisekelo ezisekela ukunyakaza okuqondile, singahlaziya futhi sibikezele ukunyakaza kwezinto ngaphansi kwezimo ezahlukahlukene. Lolu lwazi alubalulekile nje kuphela kumbono kodwa futhi lunezinhlelo zokusebenza ezibanzi ezisebenzayo kubunjiniyela, ezemidlalo, ocwaningweni, kanye nobuchwepheshe besikhala. Ngezibonelo zokubala, singabona ukuthi la mafomula asetshenziswa kanjani ezimweni zangempela, okusisiza siqonde futhi sisebenzise umqondo wokunyakaza okuqondile ngempumelelo.
