Mohlala oa ho potlaka ha matla a khoheli

Mehlala e 4 ea Mathata a ho Potlakisa Matla a Khoheli

1. Potlako ea matla a khoheli holim'a khoeli e kholo hakae? Boima ba khoeli = 7,35 x 10²² kg, radius ea khoeli = limithara tse 1.740.000, matla a khoheli a bokahohleng (G) = 6,67 x 10^-11 N m² /kg²
Puisano
Foromo ea molao oa bobeli oa Newton:

Tlhaloso: G = matla a khoheli a bokahohleng, M = boima ba lefats'e, m = boima ba ntho, r = sebaka ho tloha bohareng ba lefats'e ho ea nthong. Haeba ntho e le holim'a lefats'e kapa haufi le holim'a lefats'e joale r = radius ea lefats'e.

Sebelisa foromo ena ho bala ho potlaka ka lebaka la matla a khoheli (g) holim'a polanete, moo M = boima ba polanete, sathelaete, naleli jj. le r = radius ea polanete, sathelaete, naleli jj.
Bongata ba lebelo la khoheli holim'a khoeli ke bofe?

2. Potlako e tloaelehileng ea matla a khoheli holim'a Lefatše e lekana le g. Bophahamong ba R (R = radius ea lefats'e) ho tloha holim'a lefats'e, boholo ba lebelo la khoheli la lefats'e bo... bo hlahisoa ho g.
Puisano
Ho potlaka ka lebaka la matla a khoheli ho lekana ka tsela e fapaneng le sekwere sa sebaka:

R = radius ea lefats'e. Bophahamong ba R ho tloha holim'a lefats'e = bophahamong ba 2R ho tloha bohareng ba lefats'e. Haeba R e nkoa e le 1 joale 2R = 2(1) = 2.
Bophahamong ba R ho tloha holim'a lefatše, ho potlaka ho bakoang ke matla a khoheli ho na le boleng ba ¼ g. Haeba g = 9,8 m/s² Kahoo bophahamong ba R ho tloha holim'a lefatše, lebelo le bakoang ke matla a khoheli le na le boleng ba 2,45 m/s².

3. Potlako e tloaelehileng ea matla a khoheli holim'a Lefatše ke g. Bophahamong ba 2D (D = bophara ba lefatshe) ho tloha hodima lefatshe, boholo ba lebelo la matla a kgoheli ke...
A. g
B. 1/2 g
C. 1/4 g
D. 1/8 g
E. 1/16 g
Puisano:

Matla a khoheli a lekana le ho potlaka ka lebaka la matla a khoheli. Matla a khoheli a lekana ka tsela e fapaneng le sekwere sa sebaka, ka hona ho potlaka ka lebaka la matla a khoheli le hona ho lekana ka tsela e fapaneng le sekwere sa sebaka.
Tlhaloso: g = ho potlaka ha matla a khoheli, r = sebaka sa sebaka ho tloha bohareng ba lefats'e.
Bokaholimo ba Lefatše bo hole le R ho tloha bohareng ba Lefatše, moo R = radius ea Lefatše. Haeba R e le 1, joale ho potlaka ka lebaka la matla a khoheli holim'a Lefatše ke:
Sephetho sena se bontša hore holim'a Lefatše, lebelo la khoheli ke g. Lebelo la khoheli bophahamong ba 2D ke eng?
D = 2R. 2D = 2(2R) = 4R. R ke 1 kahoo 4R = 4
Karabo e nepahetseng ke E.

4. Haeba boemo ba ntho A bo le 2R ka hodima lefatshe, ha boemo ba ntho B bo le 3R ka hodima lefatshe (R = radius ya lefatshe), jwale karolelano ya matla a matla a kgoheli a fumanwang ke dintho A le B ke...
K. 1: 8
B. 1: 4
C. 2: 3
D. 4: 9
E. 9: 4
Puisano:
R = radius ea lefats'e. R e na le boleng ba 1 kahoo 2R = 2 le 3R = 3.
Matla a matla a khoheli (g) bophahamong ba 2R ka holim'a lefatše ke:
Matla a matla a khoheli (g) bophahamong ba 3R ka holim'a lefatše ke:

Karolelano ea g bophahamong ba 2R le 3R ke:

Ho potlaka ho bakoang ke matla a khoheli bophahamong ba 2R ho feta ho potlaka ho bakoang ke matla a khoheli bophahamong ba 3R ka makhetlo a 2,25.
Karabo e nepahetseng ke E.

Lipotso tsa ho Potlakisa Matla a Khoheli

1. Bala boholo ba lebelo la khoheli holim'a metsi:
(a) Letsatsi (b) Mercury (c) Venus (d) Mars (e) Jupiter (f) Saturn (g) Uranus (h) Neptune
Lintlha tse hlokahalang:
Khoheli e sa fetoheng ea bokahohle (G) = 6,67 x 10^-11 N m² /kg²
Boima ba letsatsi = 1,99 x 10³⁰ kg, radius ea letsatsi = 2,44 x 10⁶ m
Boima ba Mercury = 3,30 x 10²³ kg, radius ea Mercury = 6,96 x 10⁸ m
Boima ba Venus = 4,87 x 10²⁴ kg, radius ea Venus = 6,05 x 10⁶ m
Boima ba Mars = 6,42 x 10²³ kg, radius ea Mars = 3,40 x 10⁶ m
Boima ba Jupiter = 1,90 x 10²⁷ kg, radius ea Jupiter = 6,91 x 10⁷ m
Boima ba Saturn = 5,69 x 10²⁶ kg, radius ea Saturn = 6,03 x 10⁷ m
Boima ba Uranus = 8,66 x 10²⁵ kg, radius ea Uranus = 2,56 x 10⁷ m
Boima ba Neptune = 1,03 x 10²⁶ kg, radius ea Neptune = 2,48 x 10⁷ m
Mohloli oa data mabapi le boima le radius ea letsatsi le lipolanete

2. Potlako e tloaelehileng ea matla a khoheli holim'a Lefatše e lekana le gFumana lebelo le bakoang ke matla a khoheli bophahamong ba ……. ho tloha holim'a lefatše:
(a) 2R (b) 3R (c) 4R (d) 5R (e) 6R (f) 7R (g) 8R (h) 9R (i) 10 R
Bolela ka hare ho g le lipalo!