Dhibaatooyinka lagu xalliyay Dhaqdhaqaaqa Toosan - Dardargelin joogto ah
1. Gaarigu wuxuu xawaareynayaa nasashada ilaa 20 m/s 10 ilbiriqsi gudahood. Go'aami xawaaraha gaariga!
Solution
La yaqaan:
Xawaaraha bilowga ah (vo o ) = 0 (nasasho)
Muddada (t) = 10 ilbiriqsi
Xawaaraha kama dambaysta ah (v t ) = 20 m/s
La Doonayo : Dardargelin (a)
Xalka:
v t = v o + at
20 = 0 + (a)(10)
20 = 10 a
a = 20/10
a = 2 m/s 2
[irp]
2. Gaari ayaa ka gaabinaya 30 m/s si uu u nasto 10 ilbiriqsi gudahood. Go'aami xawaaraha gaariga.
Solution
La yaqaan:
Xawaaraha bilowga ah (vo o ) = 30 m/s
Xawaaraha kama dambaysta ah (v t ) = 0
Muddada (t) = 10 ilbiriqsi
La Doonayo: dardargelinta (a)
Xalka:
v t = v o + at
0 = 30 + (a)(10)
– 30 = 10 a
a = – 30 / 10
a = -3 m/s 2
Calaamadda taban waxay u muuqataa sababtoo ah xawaaraha ugu dambeeya wuxuu ka yar yahay xawaaraha bilowga ah.
[irp]
3. Gaarigu wuxuu bilaabmaa oo uu xawaareeyaa 4 m/s 2 ilbiriqsi gudahood . Go'aami xawaaraha iyo masaafada 10 ilbiriqsi ka dib.
Solution
(a) Xawaaraha
Dardargelinta 4 m/s 2 macnaheedu waa kordhinta xawaaraha 4 m/s 1 ilbiriqsi kasta. 2 ilbiriqsi ka dib, xawaaraha gaarigu waa 8 m/s. 10 ilbiriqsi ka dib, xawaaraha gaarigu waa 40 m/s.
(b) Masaafada
La yaqaan:
Xawaaraha bilowga ah (v o ) = 0
Xawaaraha kama dambaysta ah (v t ) = 40 m/s
Dardargelinta (a) = 4 m/s 2
La Raadinayo: Masaafada
Xalka:
s = vo o t + ½ at 2 = 0 + ½ (4)(10 2 ) = (2)(100) = 200 mitir
[irp]
4. Gaadhigu wuxuu ku socdaa xawaare joogto ah 10 m/s, ka dibna wuxuu hoos u dhacaa xawaare joogto ah 2 m/s 2 ilaa nasasho. Go'aami waqtiga dhaafay iyo masaafada gaariga ka hor nasashada.
La yaqaan:
Xawaaraha bilowga ah (vo o ) = 10 m/s
Dardargelinta (a) = -2 m/s 2 (Calaamadda taban ayaa soo muuqata sababtoo ah xawaaraha kama dambaysta ah wuxuu ka yar yahay xawaaraha bilowga ah)
Xawaaraha kama dambaysta ah (v t ) = 0 (nasasho)
La Doonayo: Waqtiga iyo masaafada
Xalka:
(a) Muddada (t)
v t = v o + at
0 = 10 + (-2)(t)
0 = 10 – 2 t
10 = 2 t
t = 10 / 2 = 5 ilbiriqsi
(b) Masaafada
v t 2 = v o 2 + 2 sida
0 = 10 2 + 2(-2) s
0 = 100 – 4 ilbiriqsi
100 = 4 ilbiriqsi
s = 100 / 4 = 25 mitir
[irp]
5. Gaadhigu wuxuu ku socdaa 40 m/s, wuxuu ku socdaa xawaare joogto ah 4 m/s 2 ilaa uu nasto. Go'aami xawaaraha iyo masaafada ka dib marka uu hoos u dhaco 10 ilbiriqsi gudahood!
Solution
La yaqaan:
Xawaaraha bilowga ah (vo o ) = 40 m/s
Dardargelinta (a) = -4 m/s 2
Muddada (t) = 10 ilbiriqsi
La doonayo: xawaaraha ugu dambeeya (v t ) iyo masaafada (s)
Xalka:
(a) Xawaaraha kama dambaysta ah
v t = v o + at = 40 + (-4)(10) = 40 – 40 = 0 m/s
0 m/s macnaheedu waa nasashada gaariga.
(b) Masaafada
s = vo o t + ½ at 2 = (40)(10) + ½ (-4)(10 2 ) = 400 + (-2)(100) = 400 – 200 = 200 mitir
[irp]
6. Go'aami masaafada 10 ilbiriqsi ka dib!
Solution
Masaafada: s = vt = (10-0)(5-0) = (10)(5) = 50 mitir
7. Go'aami masaafada 4 ilbiriqsi ka dib!
Solution
Masaafada = bedka labajibbaaran + bedka saddexagalka ah
Masaafada = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = 96 mitir
8. Go'aami masaafada gaariga 4 ilbiriqsi ka dib!
Solution
Masaafada = bedka saddex-xagalka ah = ½ (4-0)(8-0) = ½ (4)(8) = 16 mitir
9. Gaari ayaa 90 km/saacaddii ka gudbay gaari booliis ah oo istaagaya wadada dhinaceeda. Daqiiqad ka dib, gaariga booliisku wuxuu ku eryaday 0.8 m/s 2. Intee in le'eg ayuu gaari booliisku gaarigu gaaray?
La yaqaan:
Xawaaraha gaariga (v) = 90 km/saacaddii = 90,000 mitir / 3600 ilbiriqsi = 25 mitir/ilbiriqsi
Muddada (t) = 1 daqiiqo = 60 ilbiriqsi
Dardargelinta gaariga booliiska (a) = 0.8 m/s 2
Xawaaraha bilowga ah ee gaariga booliiska (v o ) = 0 m/s
La Raadinayo: Masaafada uu baabuur booliisku ku safray
Xalka:
Gaarigu wuxuu ku socdaa xawaare joogto ah. Masaafada uu baabuurku ku socdo:
Masaafada bilowga ah:
s = vt = (25)(60) = 1500 mitir
Masaafada kama dambaysta ah:
s = vt = (25)(t)
Wadarta masaafada = 1500 + 25 t
Gaariga booliiska ayaa si joogto ah u socda. Masaafada uu gaarigu maro:
s = vo t + ½ at 2 = (0)(t) + ½ (0.8)(t 2 ) = 0 + 0.4 t 2 = 0.4 t 2
Marka gaariga boolisku gaaro gaariga, masaafada uu gaariga boolisku maro waxay la mid tahay masaafada uu gaarigu maro.
Masaafada uu baabuurku maro = masaafada uu baabuurku maro
1500 + 25 t = 0.4 t 2
0.4 t 2 – 25 t – 1500 = 0
Isticmaal qaacidada labajibbaaran:
Masaafada uu gaarigu ku safray:
s = 0.4 t 2 = (0.4)(100 2 ) = (0.4)(10,000) = 4000 mitir s = 4 km
10. Gaadhigu wuxuu ku socdaa biriigyada 24 m/s oo joogto ah si uu u yeesho hoos u dhac joogto ah oo ah 0.952 m/s 2. Go'aami xawaaraha gaadhiga ka dib masaafada 250 mitir.
La yaqaan:
Xawaaraha bilowga ah (vo o ) = 24 m/s
Dardargelinta (a) = – 0.952 m/s 2 ( taban ayaa lagu calaamadeeyay hoos u dhac )
Masaafada ( d ) = 250 mitir s
La Raadinayo: Xawaaraha gaariga ka dib 250 mitir ilbiriqsi
Xalka:
La yaqaan: xawaaraha bilowga ah (vo), dardargelinta (A), masaafada (d), la rabay: xawaaraha ugu dambeeya (vt) markaa isticmaal isla'egta vt2 =vo2 +2 ah d
v t = xawaaraha kama dambaysta ah , v o = xawaaraha bilowga ah , a = dardargelinta , d = masaafada
v t 2 = (24) 2 + (2)(-0.952)(250)
v t 2 = 576 – 476
v t 2 = 100
v t = √100
v t = 10 m/s
[irp]
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- Masaafada iyo barakaca
- Xawaaraha celceliska iyo xawaaraha celceliska
- Xawaaraha joogtada ah
- Dardargelin joogto ah
- Dhaqdhaqaaq xor ah oo dhaca
- Dhaqdhaqaaqa hoos u dhaca xilliga dayrta xorta ah
- Dhaqdhaqaaqa kor iyo hoos ee dayrta xorta ah
