5 Dhaqdhaqaaqa Parabolic Shaqada iyo tamarta dhaqdhaqaaqa Dhaqdhaqaaqa toosan Dhibaatooyinka iyo Xalalka Dhaqdhaqaaqa toosan iyo kuwa xagasha
1. Kubad ayaa laga soo tuurayaa dusha sare ee dhismaha iyadoo xawaare bilow ah uu yahay 8 m/s xagal 20 o ka hooseeya jiifa. Kubaddu waxay dhulka ku dhacday 3 ilbiriqsi ka dib.
a) Inta ay ka fog tahay salka dhismaha kubbadu dhulka taabato
b) Intee in le'eg ayaa kubadda laga tuuray meesha
c) Inta ay kubbadu gaarto dherer dhan 10 m meesha la tuurayo
vox =vo cs 20o = 8 (0.939) = 7.512 m/s
v oy = v o dembiga 20 o = 8 (0.342) = 2.736 m/s
a) x
Dhaqdhaqaaqyada toosan waxaa lagu falanqeeyaa dhaqdhaqaaq toosan oo siman, sidaas darteed waxaa loo isticmaalay qaacidada dhaqdhaqaaqa toosan ee siman.
x = v ox t
x = (7.512 m/s)(3 ilbiriqsi)
x = 22.536 m
b) y
Dhaqdhaqaaqa jihada toosan waxaa lagu falanqeeyaa dhaqdhaqaaqa xorta ah ee dhicitaanka iyadoo la adeegsanayo qaacidada dhaqdhaqaaqa xorta ah ee dhicitaanka.
Isticmaal qaacidadan y = v o t + ½ gt 2
Dhaqdhaqaaqa dhicitaanka xorta ah, v o = 0 markaa qaaciddu waxay noqotaa : y = ½ gt 2
y = ½ (9.8)(3 2 )
y = (4.9)(9)
y = 44 m
c) y = 10 m
Isticmaal qaacidada y = ½ gt 2
10 = ½ (9,8) t 2
10 = 4.9 t 2
t 2 = 10 / 4.9
t 2 = 2
t = 1.4 s
2. Kooxda tareenka eeydu waxay jiidaan culays dhan 100 kg ilaa 2 km oo ka sarreeya dusha sare ee jiifka ah xawaare joogto ah. Haddii isku-dhafka is-jiidjiidka u dhexeeya tareenka iyo barafka uu yahay 0.15, go'aami:
a) shaqada uu qabtay eygu
Xisaabi is jiidjiid jiinis ah:
F k = µ k N = µ k w = µ k mg = (0.15) (100 kg) (9.8 m/s 2 ) =147 N
Xawaaraha cufku waa mid joogto ah, sidaas darteed, sida waafaqsan sharciga Newton, xoogga ka dhasha = 0. Markaa F k = F = 147 N
Shaqada uu qabtay eygu:
W = F d = (147 N)(2000 m) = 294,000 J
b) Tamarta ay lumiso isku-dhac
Tamarta oo lumisa isku-dhac:
Shaqada = tamarta, sidaas darteed:
W = F k d = (147 N)(2000 m) = 294,000 J
3. Xoogga jiifa ee 150 N waxaa loo isticmaalaa in sanduuqa lagu riixo 6 mitir oo ka sarreeya dusha sare ee qallafsan. Haddii sanduuqu uu ku socdo xawaare joogto ah:
a) Shaqada ay qabteen xoogga 150 N
W = F d = (150 N) (6 m) = 900 J
b) Tamarta oo lumisay is jiidjiid awgeed
Sanduuqu wuxuu ku socdaa xawaare joogto ah si xoogga ka dhasha ee ku shaqeeya sanduuqa = 0.
Markaa, xoogga toosan = 150 N = isjiidjiid kinetic ah.
Tamarta oo lumisay is jiidjiid awgiis:
W = F k s = (150 N)(6 m) = 900 J
c) Isugeynta isku-dhafka dhaqdhaqaaqa
Qaacidada xoogga is-jiidjiidka:
F k = µ k N = µ k w = µ k mg
150 = µ k m (10)
15 = µ km m
µ k = 15/m
m = cufka sanduuqa
µ k = isku-darka is-jiidjiidka
Iska hor imaadka kinetic-ga wuxuu shaqeeyaa marka walxaha ay dhaqaaqaan, iska hor imaadka aan joogtada ahayn wuxuu shaqeeyaa marka walxaha ay weli taagan yihiin.
4. Walaxdu waxay leedahay xawaare (3i-4h) m/s. Go'aami qaybta dhaqdhaqaaqa ee ku taal dhidibka x iyo y iyo baaxadda dhaqdhaqaaqa.
Xawaaraha dhidibka x: 3 m/s
Xawaaraha dhidibka y: 4 m/s
Dhaqdhaqaaq ku yaal dhidibka x: mv = 3 m
xawaaraha dhidibka y: mv = 4 m
Baaxadda xawaaraha:
p 2 = (3 m) 2 + (4 m) 2
p 2 = 9 m 2 + 16 m 2
p 2 = 25 m 2
p = 5 m
p waa calaamad muujinaysa dhaqdhaqaaqa toosan.
5. Gaariga waxaa la dedejinayaa isagoo isku mid ah laga bilaabo 22 m/s ilaa 9 ilbiriqsi. Haddii dhexroorka taayirka uu yahay 58 cm, sheeg:
a) tirada wareegyada taayirada inta lagu jiro dhaqdhaqaaqa (u malaynayso inaysan simbiriirixan lahayn)
Xisaabi dardargelinta gaariga:
v t = v o + at
22 = 0 + a 9
22 = 9a
a = 22/9 = 2.44
Xisaabi masaafada:
d = v o t + ½ marka 2 = 0 + ½ marka 2
d = ½ marka 2 = ½ (2.44)(9 2 ) = (1.22)(81) = 98.82 m
Masaafada gaariga = 98.82 mitir = 9882 cm
Dhexroorka taayirka = 58 cm
Tirada wareegyada = 9882 cm / 58 cm = 170.38 rev
b) Xawaaraha wareegga ugu dambeeya ee taayirka ee dib-u-rogidda/daqiiqaddii
Xawaaraha kama dambaysta ah = 22 mitir/ilbiriqsi = 2200 cm/ ilbiriqsi
1 rev = 1 dhexroor taayir = 58 cm
Tirada kacaannada:
2200 cm / 58 cm = 40 wareeg
Markaa, xawaaraha ugu dambeeya ee kacaanka/daqiiqada
40 dib u celin/ilbiriqsi = 40 dib u celin / 60 ilbiriqsi = 0.67 dib u celin/daqiiqad ama 0.67 dib u celin/daqiiqad
