Fomura yeBhizinesi
Mufizikisi, pfungwa yebasa inyaya huru, inotsanangura kutamiswa kwesimba kunoitika kana simba rikaita kuti chinhu chifambe. Basa rinoita basa rakakosha muzviitiko zvakasiyana-siyana zvechisikigo uye mashandisirwo etekinoroji. Chinyorwa chino chichatsanangura zvakadzama nzira yebasa, mienzaniso, mashandisirwo aro muhupenyu hwezuva nezuva, uye hukama hwaro nesimba.
Tsanangudzo yeBhizinesi
Basa ihuwandu hwe scalar hunogadzirwa kana simba rinoshandiswa pachinhu rikaita kuti chifambe. Basa rinoitwa nesimba rinoita kuti chifambiswe nenzira yakatarisana negwara resimba. Muzvikamu zveSI, basa rinoyerwa mu joules (J), apo joules imwe yakaenzana ne 1 newton meter (N·m).
Fomura yekutanga yekuverenga basa (\(W \)) ndeiyi:
\[ W = F \cdot d \cdot \cos(\theta) \]
di mana:
– \( W \) ibasa,
– \( F \) ndiko kukura kwesimba rinoshanda pachinhu,
– \( d \) ndiko kuchinjika kwechinhu,
– \( \theta \) ndiyo kona iri pakati pegwara resimba negwara rekusuduruka.
Kushanda Nesimba Risingaperi
Kune simba rinoramba richishanda zvakafanana negwara rekutama (\( \theta = 0 \) kuitira kuti \( \cos(0) = 1 \)), fomura yebasa iri nyore kuita:
\[ W = F \cdot d \]
Semuenzaniso, kana bhokisi rikasundidzirwa nesimba risingaperi remaNewton gumi kwemamita mashanu, basa rinoitwa nderekuti:
\[ W = 10 \, \text{N} \times 5 \, \text{m} = 50 \, \text{J} \]
Saka, basa raitwa i50 joules.
Bhizinesi Riri Kuchinja Maitiro
Kana simba rinoshanda pachinhu rikachinja munzira yekutama, basa racho rinoverengerwa uchishandisa chinhu chakakosha:
\[ W = \int_{x_1}^{x_2} F(x) \, dx \]
Iyi integral inopfupikisa basa rinoitwa nemasimba akasiyana-siyana panzvimbo imwe neimwe yekutama kubva pa ( x_1 \) kuenda pa ( x_2 \).
Muenzaniso weKuverenga Basa Nesimba Rinochinja
Ngatitii simba rinoshanda pachinhu rinosiyana ne \( F(x) = 2x \) uye chinhu chacho chinofamba kubva pa \( x = 0 \) kuenda pa \( x = 3 \) mamita. Basa rinoitwa rinogona kuverengwa seizvi:
\[ W = \int_{0}^{3} 2x \, dx \]
\[ W = 2 \int_{0}^{3} x \, dx \]
\[ W = 2 \kuruboshwe[ \frac{x^2}{2} \kurudyi]_{0}^{3} \]
\[ W = \kuruboshwe[ x^2 \kurudyi]_{0}^{3} \]
\[ W = 3^2 – 0^2 \]
\[ W = 9 \, \chinyorwa{J} \]
Saka, basa raitwa i9 joules.
Kuedza Kwakaipa
Basa rinogona kuva risina kunaka kana simba richishanda zvakasiyana nekufamba kwemotokari. Semuenzaniso, kana tikabhurakedza mota iri kufamba, simba rekukweshana riri pakati pematairi nemugwagwa rinoita basa risina kunaka nekuti simba rekukweshana rinopesana negwara rekufamba kwemotokari.
Kushanda nesimba uye simba
Basa rine hukama hwakasimba nesimba. Musimboti wesimba rekushanda unotaura kuti basa rinoitwa nemasimba ese anoshanda pachinhu rakaenzana nekuchinja kwesimba rekufamba kwechinhu. Pamasvomhu:
\[ W = \Delta KE \]
\[ W = \frac{1}{2} m v_f^2 – \frac{1}{2} m v_i^2 \]
di mana:
– \( \Delta KE \) ndiko kuchinja kwesimba rekinetic,
– \( m \) huremu hwechinhu,
– \( v_f \) ndiyo kumhanya kwekupedzisira kwechinhu,
– \( v_i \) ndiyo kumhanya kwekutanga kwechinhu.
Muenzaniso weKuverenga Basa uye Kinetic Energy
Ngatitii mota ine huremu hwe1000 kg iri kutanga kufamba nekumhanya kwe10 m/s. Mushure mekusangana nesimba rekubhureka, mota inomira (kumhanya kwekupedzisira = 0 m/s). Basa rinoitwa neboka rekubhureka nderekuti:
\[ \Delta KE = \frac{1}{2} m v_f^2 – \frac{1}{2} m v_i^2 \]
\[ \Delta KE = \frac{1}{2} \times 1000 \, \text{kg} \times (0 \, \text{m/s})^2 – \frac{1}{2} \times 1000 \, \text{kg} \times (10 \, \text{m/s})^2 \]
\[ \Delta KE = 0 - 5000 \, \ zvinyorwa{J} \]
\[ \Delta KE = -5000 \, \zvinyorwa{J} \]
Saka, basa rinoitwa nechikwata chebhureki i -5000 joules, zvichiratidza kuti simba remuchina wemotokari raderedzwa ne5000 joules.
Basa Nesimba Rinogona Kuwanikwa
Basa rinogonawo kukonzera shanduko musimba rinogona kuitika, kunyanya muminda yesimba inochengetedza zvinhu zvakaita semagiravhiti kana emagetsi. Muminda yegiravhiti, basa rinoitwa rekusimudza chinhu kusvika pakakwirira \( h \) kurwisa simba regiravhiti nderekuti:
\[ W = mgh \]
di mana:
– \( m \) huremu hwechinhu,
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti (9,8 m/s² pamusoro pePasi),
– \( h \) ndiko kureba kwechinhu chacho.
Muenzaniso weKuverenga Basa Mumunda weGravitational
Ngatitii chinhu chine huremu hwe5 kg chasimudzwa kusvika pakakwirira kwemamita maviri. Basa rinoitwa pakusimudza chinhu chacho nderekuti:
\[ W = mgh \]
\[ W = 5 \, \text{kg} \times 9,8 \, \text{m/s}^2 \times 2 \, \text{m} \]
\[ W = 98 \, \chinyorwa{J} \]
Saka, basa rinoitwa pakusimudza chinhu i98 joules.
Zvikumbiro zveBhizinesi muhupenyu hwezuva nezuva
1. Kutakura: Basa rinoitwa neinjini yemotokari kuti ifambise mota kubva panzvimbo imwe kuenda kune imwe. Kunzwisisa basa nesimba kunobatsira pakugadzira mainjini anoshanda zvakanaka.
2. Mitambo: Vatambi vanoedza nesimba pavanenge vachikanda bhora, vachisvetuka, kana kumhanya. Varairidzi vanoshandisa pfungwa yekuedza nesimba kuvandudza mashandiro evatambi.
3. Kuvaka: Mainjiniya vanoshandisa pfungwa yekuedza kugadzira masisitimu ekusimudza nemidziyo inorema inoshandiswa mukuvaka zvivakwa nezvivakwa.
4. Simba Rinodzokororwa: Mumichina yesimba rinowanikwazve, yakadai sematurbine emhepo nemapaneru ezuva, pfungwa dzebasa nesimba zvinoshandiswa kushandura simba rechisikigo kuita simba remagetsi.
Mhedziso
Basa ipfungwa huru mufizikisi inotsanangura kutamiswa kwesimba kuburikidza nesimba rinokonzeresa kutama. Tichishandisa fomura yekutanga \( W = F \cdot d \cdot \cos(\theta) \), tinogona kuverenga basa rinoitwa nesimba risingaperi kana simba rinochinja. Basa rine hukama hwakasimba nesimba rekinetic uye potential, uye rine mashandisirwo akawanda akakosha muhupenyu hwezuva nezuva uye tekinoroji. Kunzwisisa basa zvakanaka kunotibvumira kugadzira masisitimu anoshanda zvakanaka uye kunzwisisa zviitiko zvakasiyana-siyana zvemuviri zvinoitika zvakatikomberedza.
