Kukurumidza Kubudirira Nekuda Kwefomura Yekukwevera Simba: Pfungwa, Mashandisirwo, uye Matambudziko Emuenzaniso
Kukurumidza kwesimba regiravhiti ipfungwa huru mufizikisi inotsanangura kuti zvinhu zvinowira sei paNyika uye kuti simba regiravhiti rinoshanda sei muchadenga. Muchinyorwa chino, tichaongorora fomura yekumhanyisa simba regiravhiti, pfungwa dzekutanga, mashandisirwo azvinoita, uye mienzaniso yezvinetso kuti tinzwisise zvakadzama nyaya iyi.
Kunzwisisa Kukurumidza Kwesimba Rekukwevera Simba
Kukurumidza kunokonzerwa negiravhiti ndiko kukurumidza kunoitika nechinhu kana chichidonha zvakasununguka pasi pesimba regiravhiti rePasi. Pamusoro pePasi, avhareji yekumhanya kunokonzerwa negiravhiti inenge iri pa \( 9,8 \, \text{m/s}^2 \). Kukurumidza uku kunofananidzirwa nechiratidzo \( g \).
Kukosha kwe \( g \) kunogona kusiyana zvishoma zvichienderana nenzvimbo iri pamusoro peNyika, nekuda kwechimiro chisina kukwana cheNyika uye kusiyana kwekukwirira kwayo. Zvisinei, pakuverenga, kukosha kwe \( g \) kunowanzo tenderedzwa kusvika 9,8 m/s².
Fomura Yekukurumidza Kwesimba Rekukwevera
Fomura huru inobatanidza kukurumidza kwegiravhiti nesimba regiravhiti ndeiyi inotevera:
\[ F = m \cdot g \]
Di mana:
– \( F \) isimba rinokwevera pasi (Newton)
– \( m \) huremu hwechinhu (makirogiramu)
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti (mita pasekondi imwe chete, m/s²)
Simba rinokwevera pasi rinogonawo kuverengwa uchishandisa mutemo waNewton wegravitation yepasi rose:
\[ F = G \cdot \frac{m_1 \cdot m_2}{r^2} \]
Di mana:
– \( F \) isimba rinokwevera zvinhu pakati pezvinhu zviviri (Newton)
– \( G \) ndiyo simba regiravhiti risingaperi (\( 6,674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \))
– \( m_1 \) uye \( m_2 \) ndiwo huwandu hwezvinhu zviviri (makirogiramu)
– \( r \) idaro riri pakati penzvimbo dzehukuru hwezvinhu zviviri (mamita)
Nekuenzanisa ma equation maviri aya, tinogona kuverenga kukurumidza kunokonzerwa negiravhiti:
\[ g = G \cdot \frac{M}{r^2} \]
Di mana:
– \( M \) huremu hwePasi (inenge \( 5,972 \kawanza 10^{24} \, \text{kg} \))
– \( r \) ndiyo dhayamita yePasi (inenge \( 6,371 \kawa 10^6 \, \text{m} \))
Tichishandisa izvi, tinogona kuverenga kukurumidza kunokonzerwa negiravhiti pamusoro pePasi:
\[ g = 6,674 \nguva 10^{-11} \, \text{Nm}^2/\text{kg}^2 \cdot \frac{5,972 \nguva 10^{24} \, \text{kg}}{(6,371 \nguva 10^6 \, \text{m})^2} \approx 9,8 \, \text{m/s}^2 \]
Kushandiswa Kwekukurumidza Kwesimba Rekukwevera
Kukurumidza kwesimba regiravhiti kune mashandisirwo akawanda anoshanda mune zvakasiyana-siyana zvesainzi netekinoroji, zvinosanganisira:
1. Kinematics: Mu kinematics, kukurumidza kunokonzerwa negiravhiti kunoshandiswa kuverenga kumhanya nenzvimbo yechinhu chinodonha zvakasununguka. Semuenzaniso, fomura yekumhanya kwechinhu chinodonha zvakasununguka ndeye \( v = g \cdot t \), apo \( t \) inguva yekudonha (masekondi).
2. Astronomy: Mukuongorora nyeredzi, kukurumidza kwegiravhiti kunoshandiswa kuverenga kutenderera kwemapuraneti, mwedzi, nezvimwe zvinhu zvemudenga. Mutemo waNewton wegravitation yepasi rose unoita basa rakakosha mukunzwisisa kufamba kwezvinhu zviri mu solar system.
3. Geophysics: Mu geophysics, kusiyana kwekumhanya kwesimba regiravhiti panzvimbo dzakasiyana kunoshandiswa kudzidza chimiro uye maumbirwo ePasi. Gravimeter chishandiso chinoshandiswa kuyera kukurumidza kwesimba regiravhiti nemazvo.
4. Uinjiniya: Muuinjiniya, kukurumidza kwesimba regiravhiti kunoshandiswa mukugadzira zvivakwa, mabhiriji, nezvimwe zvinhu zvakasiyana-siyana. Simba regiravhiti ndechimwe chezvinhu zvikuru zvinofanirwa kutariswa pakuverenga mutoro nekugadzikana kwechivako.
Muenzaniso weDambudziko reKukurumidzira Kwesimba reGravitational
Heano mimwe mienzaniso yemibvunzo ine chekuita nekukurumidzisa simba regiravhiti pamwe chete nematanho ekuigadzirisa.
Muenzaniso Mubvunzo 1
Mubvunzo:
Bhora rinodonhedzwa kubva pakakwirira kwemamita makumi maviri. Zvinotora nguva yakareba sei kuti bhora risvike pasi? (Tichifunga kuti kukurumidza kunokonzerwa negiravhiti ndiko \( g = 9,8 \, \text{m/s}^2 \) uye hapana kudzivirira kwemhepo).
Mhinduro:
Zvinozivikanwa:
– Kureba (\( h \)) = mamita makumi maviri
– Kukurumidza kukwira nekuda kwegiravhiti (\(g \)) = 9,8 m/s²
Kushandisa fomura ye kinematics yedaro:
\[ h = \frac{1}{2} gt^2 \]
Kuverenga nguva (\( t \)):
\[ 20 = \frac{1}{2} \cdot 9,8 \cdot t^2 \]
\[ 20 = 4,9 \cdot t^2 \]
\[ t^2 = \frac{20}{4,9} \]
\[t^2 \inenge 4,08 \]
\[t \approx \sqrt{4,08} \]
\[ t \inenge 2,02 \, \text{seconds} \]
Saka, nguva inotora kuti bhora risvike pasi inenge masekondi maviri nehafu.
Muenzaniso Mubvunzo 2
Mubvunzo:
Chinhu chine huremu hwe10 kg chiri pamusoro peNyika. Chii chinonzi simba regiravhiti rinoshanda pachinhu chacho?
Mhinduro:
Zvinozivikanwa:
– Huremu hwechinhu (\( m \)) = 10 kg
– Kukurumidza kukwira nekuda kwegiravhiti (\(g \)) = 9,8 m/s²
Kushandisa fomura yesimba regiravhiti:
\[ F = m \cdot g \]
\[ F = 10 \cdot 9,8 \]
\[ F = 98 \, \chinyorwa{Newton} \]
Saka, simba rinokwevera zvinhu pasi rinobata chinhu ichi i98 Newtons.
Muenzaniso Mubvunzo 3
Mubvunzo:
Kana kukurumidza kunokonzerwa nekukweva pamusoro pemwedzi kuri pamusoro pemwedzi kuri panosvika \( 1,6 \, \text{m/s}^2 \), huremu hwechinhu chine huremu hwe20 kg pamwedzi chii?
Mhinduro:
Zvinozivikanwa:
– Huremu hwechinhu (\( m \)) = 20 kg
– Kukurumidza kukwira nekuda kwegiravhiti pamwedzi (\( g_{moon} \)) = 1,6 m/s²
Kushandisa fomura yesimba regiravhiti:
\[ Mwedzi weMwe ...
\[ Mwedzi weF_{mwedzi} = 20 \cdot 1,6 \]
\[ Mwedzi_{Mwedzi} = 32 \, \mashoko{Newton} \]
Saka, huremu hwechinhu chiri pamwedzi ndi32 Newtons.
Muenzaniso Mubvunzo 4
Mubvunzo:
Bhora rinokandwa rakamira kumusoro nekumhanya kwekutanga kwe15 m/s. Ndeipi kukwirira kwakanyanya kunosvikwa nebhora? (Tichifunga kuti kukurumidza kunokonzerwa negiravhiti ndiko \( g = 9,8 \, \text{m/s}^2 \) uye hapana kudzivirira kwemhepo).
Mhinduro:
Zvinozivikanwa:
– Kumhanya kwekutanga (\( v_0 \)) = 15 m/s
– Kumhanya kwekupedzisira (\( v \)) = 0 m/s (pakukwirira kwakanyanya)
– Kukurumidza kukwira nekuda kwegiravhiti (\(g \)) = 9,8 m/s²
Kushandisa fomura ye kinematics yekumhanya uye daro:
\[ v^2 = v_0^2 – 2 gh \]
Kuverenga kukwirira kwakanyanya (\( h \)):
\[ 0 = 15^2 – 2 \cdot 9,8 \cdot h \]
\[ 0 = 225 – 19,6 \cdot h \]
\[ 19,6 \cdot h = 225 \]
\[ h = \frac{225}{19,6} \]
\[ h \approx 11,48 \, \text{meter} \]
Saka, kukwirira kwakanyanya kunosvikwa nebhora kunosvika mamita 11,48.
Mhedziso
Kukurumidza kwesimba regiravhiti ipfungwa huru mufizikisi inopesvedzera zviitiko zvakasiyana-siyana muchadenga. Nekunzwisisa fomura yekumhanyisa simba regiravhiti uye mashandisirwo aro mumamiriro akasiyana-siyana, tinogona kuverenga simba regiravhiti, nguva yekudonha, kumhanya, uye kukwirira kwechinhu chinodonha kana chakandwa. Mienzaniso yakurukurwa pamusoro apa inopa pfupiso inoshanda yekuti fomura iyi inoshandiswa sei mukuverenga kwezuva nezuva uye zvidzidzo zvesainzi. Nekunzwisisa kwakanaka kwekumhanya kwesimba regiravhiti, tinogona kunzwisisa zviri nani simba rinotonga kufamba kwezvinhu zvakatikomberedza uye muchadenga chose.
