Imibuzo yesibonelo yethiyori kaTorricelli

Izibonelo ezi-5 zeTheorem kaTorricelli

1. Ibhavu elikhulu linamanzi futhi linompompi njengoba kuboniswe esithombeni. Uma g = 10 ms^-2,maka isivinini isifutho samanzi esivela empompini…

A. 3 ms^-1
B. 8 ms^-1
C. 9 ms^-1
D. 30 ms^-1
E. 900 ms^-1

Ingxoxo
I-Diketahui :
Ukuphakama (h) = 85 cm – 40 cm = 45 cm = 0,45 amamitha
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : Isivinini sokufafaza amanzi sisuka empompini (v)
Jawab :

Ithiyori kaTorricelli ithi ijubane lokufafaza kwamanzi ngembobo ekude h ukusuka ebusweni bamanzi lifana nejubane lamanzi ehla ngokukhululeka esuka ekuphakameni h.
Ijubane lesifutho samanzi libalwa kusetshenziswa ifomula yokunyakaza kokuwa kwamahhala. v_t² = 2 gh
v_t² = 2 gh = 2(10)(0,45) = 9
v_t = √9 = 3 m/s
Impendulo efanele ngu-A.

2. Ithangi lamanzi liqukethe amanzi futhi kukhona imbobo odongeni (bheka isithombe). Isivinini samanzi uma ephuma emgodini… (g = 10 ms^-2)

A. 12 ms^-1
B. 10 ms^-1
C. 6 ms^-1
D. 5 ms^-1
E. 2 ms^-1

Ingxoxo
I-Diketahui :
Ukuphakama (h) = 1,5 m – 0,25 m = 1,25 amamitha
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : Isivinini samanzi uma ephuma emgodini (v)
Jawab :
v_t² = 2 gh = 2(10)(1,25) = 25
v_t = √25 = 5 m/s
Impendulo efanele ngu-D.

3. Idamu liqukethe amanzi amamitha angu-1 ukuphakama (g = 10 ms)^-2) futhi odongeni kukhona imbobo evuzayo (bheka isithombe). Isivinini samanzi aphuma emgodini...
A. 1 ms^-1
B. 2 ms^-1
C. 4 ms^-1
D. 8 ms^-1
E. 10 ms^-1
Ingxoxo
I-Diketahui :
Ukuphakama (h) = 1 m – 0,20 m = 0,8 amamitha
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe : Isivinini samanzi uma ephuma emgodini (v)
Jawab :
v_t² = 2 gh = 2(10)(0,8) = 16
v_t = √16 = 4 m/s
Impendulo efanele ngu-D.

4. Ithangi lamanzi linomgodi omncane ohlangothini lwesokudla. Izinga lokugeleza kwamanzi emgodini liyi…
A. Kuqhathaniswa no-h
B. Kuqhathaniswa no-h₁
C. Kuqhathaniswa no-√h
D. Kuqhathaniswa no-h₂
E. Kuqhathaniswa no (h₁ - h₂)
Ingxoxo:
Ifomula yesilinganiso sokugeleza kwamanzi okuphuma emgodini:
v² = 2 gh
Incazelo: v = ijubane lamanzi, g = ukusheshisa kwamandla adonsela phansi, h = ibanga lomgodi ukusuka ebusweni bamanzi.
Ngokusekelwe kufomula engenhla, kuphethwa ngokuthi izinga lokugeleza kwamanzi lilingana nomsuka we-h.
Impendulo efanele ngu-C.

5. Isitsha esiqukethe uketshezi sinezimbobo ezimbili ezinhlangothini zombili njengoba kusesithombeni esingezansi. Imbobo engakwesobunxele inkulu ngokuphindwe kathathu kunembobo engakwesokudla. Izinga lokugeleza kwamanzi emgodini ongakwesobunxele = v₁ futhi izinga lokugeleza kwamanzi emgodini ongakwesokudla lingu-v₂Uma ibanga eliphakathi kwezimbobo ezimbili ukusuka ebusweni boketshezi lifana khona-ke…
A. v₁ = 1/2 v₂
B. v₁ =v₂
C. v₁ = 2 v₂
D. v₁ = 1/4 v₂
E. v₁ = 4 v₂

Ingxoxo:
I-Diketahui :
A₁ = 3, A₂ = 1, v₁ =v₁e₂ =v₂
Kubuziwe :
v₁ kanye no-v₂ ?
Jawab :
Ifomula yesilinganiso sokugeleza kwamanzi okuphuma emgodini:
v²= 2 gh
Izinga lokugeleza kwamanzi emgodini lincike kuphela ekusheshiseni ngenxa yamandla adonsela phansi kanye nokuphakama. Zombili izimbobo zinokuphakama okufanayo (h) ngakho-ke v₁ =v₂.
Impendulo efanele ingu-B.