Izinkinga ezixazululiwe ekunyakazeni kwe-projectile - nquma isikhathi sokuphumula
1. Ibhola elikhahlelwayo lishiya umhlabathi nge-engeli engu-θ = 30 o liye endaweni evundlile ngesivinini sokuqala esingu-10 m/s. Bala isikhathi sokuphumula ukuze ufinyelele ukuphakama okuphezulu! Ukusheshisa kwamandla adonsela phansi kungu-10 m/s 2.
Kwaziwa:
I-engeli (θ) = 3 0 o
Ijubane lokuqala (v o ) = 10 m/s
Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s 2
Okufunwayo: Isikhathi sokufinyelela ukuphakama okuphezulu
Isixazululo:
Ingxenye eqondile yejubane lokuqala:
v oy = v o isono θ = (10 m/s)(isono 30 o ) = (10 m/s)(0.5) = 5 m/s
Isikhathi sokufinyelela ukuphakama okuphezulu sinqunywa yi- equation yokunyakaza okuqondile . Khetha isiqondiso saphezulu njengesihle kanye nesiqondiso saphansi njengesibi.
Kwaziwa:
Ijubane lokuqala (v o ) = 5 m/s (elihle phezulu)
Ukusheshisa kwamandla adonsela phansi (g) = – 10 m/s 2 (ukwehla okungekuhle)
Ijubane lokugcina ekuphakameni okuphezulu (v t ) = 0
Okufunwayo: isikhathi sokuphumula (t)
Isixazululo:
v t = vo o + g t
0 = 5 + (-10)t
0 = 5 – 10 t
5 = 10 t
t = 5/10 = 0.5 imizuzwana
2. Umzimba uphakanyiswa phezulu nge-engeli engu-30 o uye endaweni evundlile ngesivinini sokuqala esingu-30 m/s. Bala isikhathi sokundiza! Ukusheshisa kwamandla adonsela phansi kungu-10 m/s 2.
Kwaziwa:
I-engeli (θ) = 3 0 o
Ijubane lokuqala (v o ) = 8 m/s
Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s 2
Kufunwa: Isikhathi esinqunyiwe ngaphambi kokuba umzimba ushaye phansi
Isixazululo:
Ingxenye eqondile yejubane lokuqala:
v oy = v o isono θ = (8 m/s)(isono 30 o ) = (8 m/s)(0.5) = 4 m/s
Siqala ngokubala isikhathi esiphakathi ukuze sifinyelele ukuphakama okuphezulu sisebenzisa i-equation yokunyakaza okuqondile.
Khetha indlela eya phezulu njengeyakhayo kanye nendlela eya phansi njengeyakhayo.
Kwaziwa:
Ijubane lokuqala (v o ) = 4 m/s (elihle phezulu)
Ukusheshisa kwamandla adonsela phansi (g) = – 10 m/s 2 (ukwehla okungekuhle)
Ijubane lokugcina ekuphakameni okuphezulu (v t ) = 0
Okufunwayo: Isikhathi esiphakathi (t)
Isixazululo:
v t = vo o + g t
0 = 4 + (-10)t
0 = 4 – 10 t
4 = 10 t
t = 4/10 = 0,4 imizuzwana
Isikhathi sokufinyelela ukuphakama okuphezulu singamasekhondi angu-0.4.
Isikhathi emoyeni singamasekhondi angu-2 x 0.4 = 0.8.
3. Umzimba uphakanyiswa ubheke phezulu nge-engeli engu-30 o kanti ukuphakama kwawo kungama-10 metres ukusuka esakhiweni. Ijubane lawo lokuqala lingu-40 m/s. Kuthatha isikhathi esingakanani ukuthi umzimba ufike phansi? Ukusheshisa kwamandla adonsela phansi kungu-10 m/s 2.
Kwaziwa:
I-engeli (θ) = 3 0 o
Ukuphakama kokuqala (h o ) = amamitha ayi-10
Ijubane lokuqala (v o ) = 40 m/s
Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s 2
Kufunwa: Isikhathi emoyeni (t)
Isixazululo:
Ingxenye eqondile yejubane lokuqala:
v oy = v o isono θ = (40 m/s)(isono 30 o ) = (40 m/s)(0.5) = 20 m/s
Siqala ngokubala isikhathi esiphakathi ukuze sifinyelele ukuphakama okuphezulu sisebenzisa i-equation yokunyakaza okuqondile.
Khetha indlela eya phezulu njengeyakhayo kanye nendlela eya phansi njengeyakhayo.
Kwaziwa:
Ijubane lokuqala (v o ) = 20 m/s (elihle phezulu)
Ukusheshisa kwamandla adonsela phansi (g) = – 10 m/s 2 (ukwehla okungekuhle)
Ijubane lokugcina esicongweni (v t ) = 0
Okufunwayo: Isikhathi esiphakathi (t)
Isixazululo:
v t = vo o + g t
0 = 20 + (-10)t
0 = 20 – 10 t
20 = 10 t
t = 20/10 = imizuzwana emi-2
Isikhathi emoyeni = 2 x 2 imizuzwana = 4 imizuzwana.
Into ingamamitha ayi-10 ngaphezu komhlabathi. Imizuzwana emi-4 yisikhathi sokufinyelela endaweni ehambisana nendawo yokuqala. Ibhola lisahamba liye phansi.
Isikhathi sokufinyelela phansi sibalwa kusetshenziswa i-equation yokunyakaza kokuwa okukhululekile.
Kwaziwa:
Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s 2
Ukuphakama (h) = amamitha ayi-10
Okufunwayo: Isikhathi esiphakathi (t)
Isixazululo:
h = 1/2 gt 2
10 = 1/2 (10) t 2
10 = 5 t 2
t 2 = 10/5 = 2
t = √2 = 1.4 imizuzwana
Isikhawu sesikhathi = imizuzwana eyi-1.4.
Isikhawu sesikhathi esiphelele = imizuzwana emi-4 + imizuzwana eyi-1.4 = imizuzwana emi-5.4.
4. Ibhola elincane liphakanyiswa ngokuvundlile ngesivinini sokuqala v o = 15 m/s ukusuka esakhiweni esingamamitha ama-5 ukuphakama. Bala isikhathi emoyeni ! Ukusheshisa kwamandla adonsela phansi kungu-10 m/s 2
Kwaziwa:
Ukuphakama (h) = amamitha ayi-5
Ijubane lokuqala (v o ) = 15 m/s
Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s 2
Kufunwa: Isikhathi emoyeni (t)
Isixazululo:
Isikhathi emoyeni sibalwa kusetshenziswa isibalo sokunyakaza okuwa ngokukhululeka.
Kwaziwa:
Ukuphakama (h) = amamitha ayi-5
Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s 2
Okufunwayo: Isikhathi esiphakathi (t)
Isixazululo:
h = 1/2 gt 2
5 = 1/2 (10) t 2
5 = 5 t 2
t 2 = 5/5 = 1
t = √1 = 1 umzuzwana
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- Xazulula ijubane lokuqala libe izingxenye ezivundlile neziqondile
- Nquma ukufuduka okuvundlile
- Nquma ukuphakama okuphezulu
- Nquma isikhathi esinqunyiwe
- Nquma indawo yezinto
- Nquma ijubane lokugcina