Muenzaniso wekukurumidzisa simba regiravhiti

Mienzaniso mina yeMatambudziko Ekukurumidzira Kwesimba Rekukwevera Simba

1. Kumhanya kwesimba regiravhiti pamusoro pemwedzi kwakakura sei? Huremu hwemwedzi = 7,35 x 10²² kg, nharaunda yemwedzi = 1.740.000 metres, giravhiti risingaperi (G) = 6,67 x 10^-11 N m² /kg²
Kukurukurirana
Fomura yechipiri yemutemo waNewton:

Tsananguro: G = simba regiravhiti risingaperi, M = huremu hwenyika, m = huremu hwechinhu, r = daro kubva pakati penyika kuenda kuchinhu chacho. Kana chinhu chacho chiri pamusoro penyika kana pedyo nepamusoro penyika saka r = nharaunda yenyika.

Shandisa fomura iyi kuverenga kukurumidza kunokonzerwa negiravhiti (g) pamusoro pepuraneti, apo M = huremu hwepuraneti, satellite, nyeredzi nezvimwewo uye r = radius yepuraneti, satellite, nyeredzi nezvimwewo.
Kukurumidza kwesimba regiravhiti pamusoro pemwedzi kwakakura sei?

2. Avhareji yekumhanya kwesimba rinokwevera pasi pamusoro penyika yakaenzana ne g. Pakukwirira kweR (R = radius yenyika) kubva pamusoro penyika, hukuru hwekumhanya kwesimba repasi rinokwevera pasi hunoonekwa mu g.
Kukurukurirana
Kukurumidza kunokonzerwa negiravhiti kwakaenzana zvakanyanya nechikwere chedaro:

R = nharaunda yenyika. Pakukwirira kweR kubva pamusoro penyika = pakukwirira kwe2R kubva pakati penyika. Kana R ichionekwa se1 saka 2R = 2(1) = 2.
Pakukwirira kweR kubva pamusoro penyika, kukurumidza kunokonzerwa negiravhiti kune kukosha kwe ¼ g. Kana g = 9,8 m/s² Saka pakukwirira kweR kubva pamusoro penyika, kukurumidza kunokonzerwa negiravhiti kune kukosha kwe2,45 m/s².

3. Avhareji yekumhanya kwesimba rinokwevera pasi pamusoro penyika ndeye g. Pakukwirira kwe2D (D = dhayamita yepasi) kubva pamusoro penyika, hukuru hwekumhanya kwegiravhiti...
A. g
B. 1/2 g
C. 1/4 g
D. 1/8 g
E. 1/16 g
Kukurukurirana:

Simba rinokwevera zvinhu pasi rinoenderana nekukurumidzisa kunokonzerwa negiravhiti. Simba rinokwevera zvinhu pasi rinoenderana nechikamu chedaro, saka kukurumidzisa kunokonzerwa negiravhiti kunoenderanawo nechikamu chedaro.
Tsananguro: g = kukurumidza kwegiravhiti, r = daro renzvimbo kubva pakati penyika.
Pamusoro peNyika pane R kure nepakati peNyika, uko R = radius yeNyika. Kana R iri 1, saka kukurumidza kunokonzerwa negravity pamusoro peNyika ndekwekuti:
Mhedzisiro iyi inoratidza kuti pamusoro pePasi, kukurumidza kwegiravhiti kuri g. Chii chinonzi kukurumidza kwegiravhiti pakukwirira kwe2D?
D = 2R. 2D = 2(2R) = 4R. R i1 saka 4R = 4
Mhinduro chaiyo ndiE.

4. Kana nzvimbo yechinhu A iri 2R pamusoro penyika, nepo nzvimbo yechinhu B iri 3R pamusoro penyika (R = radius yenyika), saka chiyero chesimba regiravhiti rinowanikwa nezvinhu A naB ndeche...
A. 1: 8
B. 1: 4
C. 2 : 3
D. 4: 9
Chikamu 9: 4
Kukurukurirana:
R = nharaunda yenyika. R ine kukosha kwe1 saka 2R = 2 uye 3R = 3.
Simba regiravhiti (g) pakukwirira kwe2R pamusoro penyika ndeiri:
Simba regiravhiti (g) pakukwirira kwe3R pamusoro penyika ndeiri:

Chiyero che g pakukwirira 2R ne3R ndeichi:

Kukurumidza kunokonzerwa negiravhiti pakukwirira kwe2R kwakakura ka2,25 kupfuura kukurumidza kunokonzerwa negiravhiti pakukwirira kwe3R.
Mhinduro chaiyo ndiE.

Mibvunzo yeKukurumidzisa Simba reKukweva

1. Verenga hukuru hwekumhanya kwesimba regiravhiti pamusoro:
(a) Zuva (b) Mercury (c) Venus (d) Mars (e) Jupiter (f) Saturn (g) Uranus (h) Neptune
Ruzivo runodiwa:
Simba rinokwevera pasi rose (G) = 6,67 x 10^-11 N m² /kg²
Huremu hwezuva = 1,99 x 10³⁰ kg, nharaunda yezuva = 2,44 x 10⁶ m
Huremu hweMercury = 3,30 x 10²³ kg, nharaunda yeMercury = 6,96 x 10⁸ m
Huremu hweVenus = 4,87 x 10²⁴ kg, nharaunda yeVenus = 6,05 x 10⁶ m
Huremu hweMars = 6,42 x 10²³ kg, nharaunda yeMars = 3,40 x 10⁶ m
Huremu hwaJupiter = 1,90 x 10²⁷ kg, nharaunda yeJupiter = 6,91 x 10⁷ m
Huremu hweSaturn = 5,69 x 10²⁶ kg, nharaunda yeSaturn = 6,03 x 10⁷ m
Huremu hweUranus = 8,66 x 10²⁵ kg, nharaunda yeUranus = 2,56 x 10⁷ m
Huremu hweNeptune = 1,03 x 10²⁶ kg, nharaunda yeNeptune = 2,48 x 10⁷ m
Kunobva ruzivo pamusoro pehukuru nehukuru hwezuva nemapuraneti

2. Avhareji yekumhanya kwesimba rinokwevera pasi pamusoro penyika yakaenzana ne gSarudza kukurumidza kunokonzerwa negiravhiti pakukwirira kwe……. kubva pamusoro penyika:
(a) 2R (b) 3R (c) 4R (d) 5R (e) 6R (f) 7R (g) 8R (h) 9R (i) 10 R
Nyika iri mu g uye nhamba!