Ho Potlaka ka Lebaka la Foromo ea Matla a Khoheli: Khopolo-taba, Litšebeliso, le Mathata a Mehlala
Ho potlaka ha matla a khoheli ke mohopolo oa motheo fisiks o hlalosang kamoo lintho li oelang Lefatšeng le kamoo matla a khoheli a sebetsang kateng bokahohleng. Sehloohong sena, re tla hlahloba mokhoa oa ho potlaka ha matla a khoheli, likhopolo tsa motheo, lits'ebetso tse sebetsang, le mathata a mohlala ho tebisa kutloisiso ea rona ea sehlooho sena.
Ho Utloisisa ho Potlaka ha Matla a Khoheli
Ho potlaka ka lebaka la matla a khoheli ke ho potlaka ho bonoang ke ntho ha e oela ka bolokolohi tlas'a tšusumetso ea matla a khoheli a Lefatše. Bokaholimo ba Lefatše, potlaka e tloaelehileng ka lebaka la matla a khoheli e ka ba \( 9,8 \, \text{m/s}^2 \). Potlaka ena e tšoantšetsoa ke letšoao \( g \).
Boleng ba \( g \) bo ka fapana hanyane ho latela sebaka se hodima lefatshe, ka lebaka la sebopeho se sa phethahalang sa Lefatshe le diphetoho tsa bophahamo. Leha ho le jwalo, bakeng sa merero ya ho bala, boleng ba \( g \) hangata bo sekasekwa ho 9,8 m/s².
Foromo ea ho Potlakisa Matla a Khoheli
Foromo ea motheo e amanang le ho potlaka ha matla a khoheli le matla a khoheli ke e latelang:
\[ F = m \cdot g \]
Di mana:
– \( F \) ke matla a khoheli (Newton)
– \( m \) ke boima ba ntho (dikilogerama)
– \( g \) ke ho potlaka ho bakwang ke matla a khoheli (dimithara ka motsotsoana tse sekwere, m/s²)
Matla a khoheli a ka boela a baloa ho sebelisoa molao oa Newton oa matla a khoheli a bokahohleng:
\[ F = G \cdot \frac{m_1 \cdot m_2}{r^2} \]
Di mana:
– \( F \) ke matla a khoheli pakeng tsa lintho tse peli (Newton)
– \( G \) ke ntho e sa fetoheng ya matla a khoheli ya bokahohleng (\( 6,674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \))
– \( m_1 \) le \( m_2 \) ke boima ba dintho tse pedi (dikhilograma)
– \(r \) ke sebaka se pakeng tsa litsi tsa boima ba lintho tse peli (limithara)
Ka ho lekanya di-equation tsena tse pedi, re ka bala ho potlaka ho bakwang ke matla a kgoheli:
\[ g = G \cdot \frac{M}{r^2} \]
Di mana:
– \( M \) ke boima ba Lefatše (hoo e ka bang \( 5,972 \makgetlo a 10^{24} \, \text{kg} \))
– \( r \) ke radius ya Lefatshe (hoo e ka bang \( 6,371 \makgetlo a 10^6 \, \text{m} \))
Re sebelisa litekanyetso tsena, re ka bala ho potlaka ho bakoang ke matla a khoheli holim'a Lefatše:
\[ g = 6,674 \ka makhetlo a 10^{-11} \, \text{Nm}^2/\text{kg}^2 \cdot \frac{5,972 \ka makhetlo a 10^{24} \, \text{kg}}{(6,371 \ka makhetlo a 10^6 \, \text{m})^2} \hoo e ka bang 9,8 \, \text{m/s}^2 \]
Kopo ea ho Potlakisa Matla a Khoheli
Ho potlakisa matla a khoheli ho na le lits'ebetso tse ngata tse sebetsang mafapheng a fapaneng a saense le theknoloji, ho kenyeletsoa:
1. Kinematics: Thutong ea kinematics, ho potlaka ho bakoang ke matla a khoheli ho sebelisoa ho bala lebelo le boemo ba ntho e oelang ka bolokolohi. Mohlala, foromo ea lebelo la ntho e oelang ka bolokolohi ke \( v = g \cdot t \), moo \( t \) e leng nako ea ho oa (metsotsoana).
2. Bolepi ba linaleli: Bolepi ba linaleli, ho potlaka ha matla a khoheli ho sebelisoa ho bala potoloho ea lipolanete, likhoeli le lihloliloeng tse ling tsa leholimo. Molao oa Newton oa matla a khoheli a bokahohleng o phetha karolo ea bohlokoa ho utloisiseng motsamao oa lintho tse tsamaisong ea letsatsi.
3. Geophysics: Ho geophysics, diphetoho tsa ho potlaka ha matla a khoheli libakeng tse fapaneng di sebediswa ho ithuta sebopeho le sebopeho sa Lefatshe. Gravimeter ke sesebediswa se sebediswang ho lekanya potlaka ha matla a khoheli ka ho nepahala ho hoholo.
4. Boenjiniere: Boenjiniereng, ho potlaka ha matla a khoheli ho sebelisoa ho rala meaho ea meaho, marokho le meralo e meng e fapaneng ea motheo. Matla a matla a khoheli ke e 'ngoe ea lintlha tsa bohlokoa tse lokelang ho nahanoa ha ho baloa mojaro le botsitso ba sebopeho.
Mohlala oa Bothata ba ho Potlakisa Matla a Khoheli
Mehlala e meng ea lipotso tse amanang le ho potlaka ha matla a khoheli hammoho le mehato ea ho li rarolla ke ena.
Mohlala oa Potso ea 1
Potso:
Bolo e lahlelwa ho tloha bophahamong ba limithara tse 20. Ho nka nako e kae ho fihla fatshe? (Ho nkuwa hore ho potlaka ka lebaka la matla a khoheli ke \( g = 9,8 \, \text{m/s}^2 \) mme ha ho na khanyetso ya moya).
Tharollo:
Hoa tsebahala:
– Bophahamo (\( h \)) = limithara tse 20
– Ho potlaka ka lebaka la matla a khoheli (\(g \)) = 9,8 m/s²
Ho sebelisa foromo ea kinematics bakeng sa sebaka:
\[ h = \frac{1}{2} gt^2 \]
Ho bala nako (\( t \)):
\[ 20 = \frac{1}{2} \cdot 9,8 \cdot t^2 \]
\[ 20 = 4,9 \cdot t^2 \]
\[t^2 = \frac{20}{4,9} \]
\[t^2 \hoo e ka bang 4,08 \]
\[t \hoo e ka bang \sqrt{4,08} \]
\[t \hoo e ka bang 2,02 \, \mongolo{metsotsoana} \]
Kahoo, nako eo bolo e e nkang ho fihla fatshe ke metsotsoana e ka bang 2,02.
Mohlala oa Potso ea 2
Potso:
Ntho e boima ba 10 kg e fumaneha holim'a Lefatše. Matla a khoheli a sebetsang holim'a ntho ke afe?
Tharollo:
Hoa tsebahala:
– Boima ba ntho (\( m \)) = 10 kg
– Ho potlaka ka lebaka la matla a khoheli (\(g \)) = 9,8 m/s²
Ho sebelisa foromo ea matla a khoheli:
\[ F = m \cdot g \]
\[ F = 10 \cdot 9,8 \]
\[ F = 98 \, \mongolo{Newton} \]
Kahoo, matla a khoheli a sebetsang nthong eo ke 98 Newtons.
Mohlala oa Potso ea 3
Potso:
Haeba ho potlaka ho bakoang ke matla a khoheli holim'a khoeli ho ka ba hoo e ka bang \( 1,6 \, \text{m/s}^2 \), boima ba ntho e nang le boima ba 20 kg khoeling ke bokae?
Tharollo:
Hoa tsebahala:
– Boima ba ntho (\( m \)) = 20 kg
– Ho potlaka ka lebaka la matla a khoheli khoeling (\( g_{moon} \)) = 1,6 m/s²
Ho sebelisa foromo ea matla a khoheli:
\[ Kgwedi ya F_=m \cdot g_{kgwedi} \]
\[ Khoeli ea khoeli ...
\[ Kgwedi ya F_= 32 \, \mongolo{Newton} \]
Kahoo, boima ba ntho e khoeling ke li-Newton tse 32.
Mohlala oa Potso ea 4
Potso:
Bolo e lahlelwa hodimo ka lebelo la pele la 15 m/s. Bole e fihlellwa ke bophahamo bo bokae? (Ha re nahana hore ho potlaka ka lebaka la matla a khoheli ke \( g = 9,8 \, \text{m/s}^2 \) mme ha ho na khanyetso ya moya).
Tharollo:
Hoa tsebahala:
– Lebelo la pele (\( v_0 \)) = 15 m/s
– Lebelo la ho qetela (\( v \)) = 0 m/s (bophahamong bo phahameng ka ho fetisisa)
– Ho potlaka ka lebaka la matla a khoheli (\(g \)) = 9,8 m/s²
Ho sebelisa foromo ea kinematics bakeng sa lebelo le sebaka:
\[ v^2 = v_0^2 – 2 gh \]
Ho bala bophahamo bo phahameng ka ho fetisisa (\( h \)):
\[ 0 = 15^2 – 2 \cdot 9,8 \cdot h \]
\[0 = 225 – 19,6 \cdot h \]
\[ 19,6 \cdot h = 225 \]
\[ h = \frac{225}{19,6} \]
\[ h \hoo e ka bang 11,48 \, \text{meter} \]
Kahoo, bophahamo bo phahameng ka ho fetisisa boo bolo e bo fihletseng ke limithara tse ka bang 11,48.
Qetello
Ho potlaka ha matla a khoheli ke khopolo-taba ea motheo fisiks e susumetsang liketsahalo tse fapaneng bokahohleng. Ka ho utloisisa mokhoa oa ho potlaka ha matla a khoheli le ts'ebeliso ea oona maemong a fapaneng, re ka bala matla a khoheli, nako ea ho oa, lebelo, le bophahamo ba ntho e oang kapa e lahliloeng. Mehlala e tšohliloeng kaholimo e fana ka kakaretso e sebetsang ea hore na mokhoa ona o sebelisoa joang lipalo tsa letsatsi le letsatsi le lithutong tsa mahlale. Ka kutloisiso e ntle ea ho potlaka ha matla a khoheli, re ka ananela hamolemo matla a laolang motsamao oa lintho tse re potileng le bokahohleng bohle.
