Tusaale ahaan dardargelinta cufisjiidadka

4 Tusaalooyin oo ku saabsan Dhibaatooyinka Dardargelinta Cufisjiidadka

1. Intee in le'eg ayuu le'eg yahay xawaaraha cufisjiidadka ee dusha sare ee dayaxa? Cufka dayaxa = 7,35 x 10²² kg, gacanka dayaxa = 1.740.000 mitir, joogto cufisjiidadka guud (G) = 6,67 x 10^-11 N m² /kg²
Dood
Qaacidda sharciga labaad ee Newton:

Sharaxaad: G = joogto cufisjiidadka guud, M = cufnaanta dhulka, m = cufnaanta shayga, r = masaafada laga bilaabo bartamaha dhulka ilaa shayga. Haddii shaygu uu saaran yahay dusha sare ee dhulka ama meel u dhow dusha sare ee dhulka markaas r = radius dhulka.

Isticmaal qaacidadan si aad u xisaabiso dardargelinta cufisjiidadka (g) ee dusha sare ee meeraha, halkaas oo M = cufka meeraha, dayax-gacmeedka, xiddigta iwm. iyo r = radius-ka meeraha, dayax-gacmeedka, xiddigta iwm.
Waa maxay baaxadda dardargelinta cufisjiidadka ee dusha sare ee dayaxa?

2. Celceliska dardargelinta cufisjiidadka ee dusha sare ee Dhulka waxay la mid tahay gDhererka R (R = radius dhulka) marka laga eego dusha sare ee dhulka, baaxadda dardargelinta cufisjiidadka dhulka ayaa lagu muujiyaa... g.
Dood
Dardargelinta cufisjiidadka awgeed waxay si liddi ku ah ugu dhigantaa labajibbaaranaha masaafada:

R = gacanka dhulka. Dhererka R ee dusha sare ee dhulka = dhererkiisu yahay 2R oo ka imanaya bartamaha dhulka. Haddii R loo arko 1 markaas 2R = 2(1) = 2.
Dhererka dhulka marka loo eego R, dardargelinta cufisjiidadka awgeed waxay leedahay qiime dhan ¼ g. Haddii g = 9,8 m/s² Markaa marka uu dhulka korkiisa joogo, xawaaraha uu cufisjiidadka u leeyahay wuxuu leeyahay qiime dhan 2,45 m/s.².

3. Celceliska xawaaraha cufisjiidadka ee dusha sare ee Dhulka waa gDhererka 2D (D = dhexroorka dhulka) marka laga eego dusha sare ee dhulka, baaxadda dardargelinta cufisjiidadka ayaa ah...
A. g
B. 1/2 g
Q. 1/4 g
D. 1/8 g
E. 1/16 g
Dood:

Xoogga cufisjiidadka wuxuu la mid yahay dardargelinta cufisjiidadka awgeed. Xoogga cufisjiidadka wuxuu si liddi ah ugu dhigmaa labajibbaaranaha masaafada, sidaas darteed dardargelinta cufisjiidadka awgeed sidoo kale wuxuu si liddi ah ugu dhigmaa labajibbaaranaha masaafada.
Sharaxaad: g = dardargelinta cufisjiidadka, r = masaafada meel u jirta bartamaha dhulka.
Dusha sare ee dhulku waxay masaafo u jirtaa bartamaha dhulka, halkaas oo R = radius-ka dhulka. Haddii R uu yahay 1, markaa dardargelinta cufisjiidadka dhulka dushiisa waa:
Natiijadani waxay muujinaysaa in dusha sare ee Dhulka, dardargelinta cufisjiidadka ay tahay g. Waa maxay dardargelinta cufisjiidadka ee dhererka 2D?
D = 2R. 2D = 2(2R) = 4R. R waa 1 sidaas darteed 4R = 4
Jawaabta saxda ah waa E.

4. Haddii booska shayga A uu yahay 2R oo ka sarreeya dusha sare ee dhulka, halka booska shayga B uu yahay 3R oo ka sarreeya dusha sare ee dhulka (R = radius dhulka), markaa saamiga xoogga goobta cufisjiidadka ee ay la kulmaan walxaha A iyo B waa...
A. 1: 8
B. 1: 4
C. 2: 3
D. 4: 9
E. 9: 4
Dood:
R = gacanka dhulka. R wuxuu leeyahay qiime ah 1 sidaas darteed 2R = 2 iyo 3R = 3.
Xoogga goobta cufisjiidadka (g) ee dhererka 2R ee ka sarreeya dusha sare ee dhulka waa:
Xoogga goobta cufisjiidadka (g) ee dhererka 3R ee ka sarreeya dusha sare ee dhulka waa:

Saamiga g ee dhererka 2R iyo 3R waa:

Dardargelinta cufisjiidadka ee dhererka 2R waa 2,25 jeer ka weyn dardargelinta oo ay ugu wacan tahay cufisjiidadka ee dhererka 3R.
Jawaabta saxda ah waa E.

Su'aalaha Dardargelinta Cufisjiidadka

1. Xisaabi baaxadda dardargelinta cufisjiidadka ee dusha sare:
(a) Qorraxda (b) Meerkuriga (c) Venus (d) Mars (e) Jupiter (f) Saturn (g) Uranus (h) Neptune
Xogta loo baahan yahay:
Joogtada cufisjiidadka guud (G) = 6,67 x 10^-11 N m² /kg²
Cufka qorraxda = 1,99 x 10³⁰ kg, gacanka qorraxda = 2,44 x 10⁶ m
Cufka Meerkuriga = 3,30 x 10²³ kg, gacanka Meerkuriga = 6,96 x 10⁸ m
Cufka Venus = 4,87 x 10²⁴ kg, gacanka Venus = 6,05 x 10⁶ m
Cufka Mars = 6,42 x 10²³ kg, gacanka Mars = 3,40 x 10⁶ m
Cufka Jupiter = 1,90 x 10²⁷ kg, gacanka Jupiter = 6,91 x 10⁷ m
Cufka Saturn = 5,69 x 10²⁶ kg, gacanka Saturn = 6,03 x 10⁷ m
Cufka Uranus = 8,66 x 10²⁵ kg, gacanka Uranus = 2,56 x 10⁷ m
Cufka Neptune = 1,03 x 10²⁶ kg, gacanka Neptune = 2,48 x 10⁷ m
Isha xogta ku saabsan cufka iyo gacanka qorraxda iyo meerayaasha

2. Celceliska dardargelinta cufisjiidadka ee dusha sare ee Dhulka waxay la mid tahay g. Go'aami dardargelinta cufisjiidadka oo ku salaysan dhererka …… laga bilaabo dusha sare ee dhulka:
(a) 2R (b) 3R (c) 4R (d) 5R (e) 6R (f) 7R (g) 8R (h) 9R (i) 10 R
Gobolka ku yaal g iyo tirooyin!