5 Culayska Cuf-jiidadka - Dhibaatooyinka iyo Xalalka
1. Waa maxay xoogga cufisjiidadka ee ku shaqeeya shay ku yaal dusha sare ee Dhulka? Cufnaanta Dhulka = 5.98 x 10 24 kg, cufnaanta shayga = 1000 kg, radius-ka Dhulku waa 6.38 x 10 6 m.
La yaqaan:
Cufka Dhulka (m E ) = 5.98 x 10 24 kg
Cufka walaxda (m o ) = 1000 kg
Gacanka Dhulka (r E ) = 6.38 x 10 6 m
Joogtada guud (G) = 6.67 x 10 -11 N m 2 / kg 2
Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s 2
La Doonayo: Xoogga Cufisjiidadka
Xalka:
w = miisaan, F = xoog, G = joogto caalami ah, m E = cufnaanta Dhulka , m o = cufnaanta shayga , r = masaafada u dhaxaysa bartamaha Dhulka iyo shayga.
Shayga wuxuu ku yaal dusha sare ee Dhulka, sidaas darteed r = gacanka Dhulka
Miisaanka Walxaha ( sharciga labaad ee dhaqdhaqaaqa Newton ):
w = mg
w = (1000 kg)(9.8 m/s 2 )
w = 9800 N
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2. Waa maxay xoogga cufisjiidadka ee ku shaqeeya shay 10,000 mitir ka sarreeya dusha sare ee Dhulka? Cufnaanta Dhulka = 5.98 x 10 24 kg, cufnaanta shayga = 1000 kg, radius-ka Dhulku waa 6.38 x 10 6 m.
Xalka:
3. Miisaanka dayax-gacmeedku waa w. Haddii D = dhexroorka Dhulka, go'aami miisaanka dayax-gacmeedka marka dayax-gacmeedku uu 2D ka sarreeyo dusha sare ee Dhulka.
La yaqaan:
D = Dhexroorka dhulka,
R = gacanka Dhulka
1 D = 2 R, 2 D = 4 R
Ma la rabaa: miisaanka dayax-gacmeedka oo 2D ka sarreeya dusha sare ee dhulka?
Xalka:
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4. Saamiga cufnaanta meeraha A iyo meeraha B waa 2: 3, halka saamiga gacanka meeraha A iyo meeraha B uu yahay 1: 2. Haddii miisaanka walaxda meeraha A uu yahay w, waa maxay miisaanka walaxda meeraha B.
La yaqaan:
Cufka meeraha A (m A ) = 2
Cufka meeraha B (m B ) = 3
Gacanka meeraha A (r A ) = 1
Gacanka meeraha B (r B ) = 2
Cufka walaxda = m
Miisaanka walaxda ee meeraha A = w
La Doonayo: Miisaanka walaxda ee meeraha B
Xalka:
Isle'egta xoogga miisaanka ee ka timid sharciga cufisjiidadka ee Newton:
w = miisaan, G = joogto ah oo cufisjiidadka ah, M = cufnaanta meeraha, m = cufnaanta walaxda, r = masaafada u dhaxaysa walaxda iyo meeraha. Haddii walaxda meeraha ku taal ay dul saaran tahay r = radius-ka meeraha.
Miisaanka walaxda ee meeraha A:
Miisaanka walaxda ee meeraha B:
Cufka shayga waa isku mid sidaa darteed m-ka lagu beddelayo w/2G.
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5. Gantaal culeyskiisu yahay w ayaa si toosan looga soo tuurayaa dusha sare ee Dhulka. D waa dhexroorka Dhulka. Marka gantaalku uu gaaro dhererka 0.5 D oo ka sarreeya dusha sare ee Dhulka, markaas waa maxay miisaanka gantaalka.
La yaqaan:
Miisaanka gantaalka = w
Gacanka Dhulka = masaafada u jirta bartamaha Dhulka = R
Dhexroorka Dhulka = D = 2R
La Doonayo: Miisaanka gantaalka marka gantaalku uu joogo meel sare oo ah 0.5 D oo ka sarreysa dusha sare ee Dhulka.
Xalka:
0.5 D = 0.5 (2R) = R
Masaafada gantaalku u jiro bartamaha dhulka = gacanka dhulka + gacanka gantaalku u jiro dusha sare ee dhulka = R + R = 2R
Miisaanku waa xoogga cufisjiidadka ee ku shaqeeya shay. Xoogga cufisjiidadka (F) wuxuu si liddi ah ugu dhigmaa labajibbaaranaha masaafada ka jirta bartamaha dhulka (R) si miisaanku uu ugu dhigmaa labajibbaaranaha masaafada.
- Sharciga Newton ee dhibaatooyinka cufisjiidadka guud iyo xalalka
- Xoogga cuf-isjiidadka, dhibaatooyinka miisaanka, iyo xalalka
- Dardargelinta dhibaatooyinka cufisjiidadka iyo xalalka
- Dhibaatooyinka iyo xalalka dayax-gacmeedka geosynchronous
- Dhibaatooyinka sharciga Kepler iyo xalalka dhibaatooyinka iyo xalalka
