Zitsanzo za mafunso a Torricelli a theorem

Zitsanzo 5 za Chiphunzitso cha Torricelli

1. Bafa lalikulu lili ndi madzi ndipo lili ndi pompo monga momwe zasonyezedwera pachithunzichi. Ngati g = 10 ms^-2,maka liwiro Madzi opopera kuchokera pampopi ndi…

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

Zokambirana
Ndizodziwika kuti :
Kutalika (h) = 85 cm – 40 cm = 45 cm = 0,45 metres
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²
Anafunsa : Liwiro la kupopera madzi kuchokera pampopi (v)
Yankhani :

Chiphunzitso cha Torricelli amanena kuti liwiro la kupopera madzi kudzera m'bowo lomwe lili patali ndi h kuchokera pamwamba pa madzi ndi lofanana ndi liwiro la madzi kugwa momasuka kuchokera kutalika ndi h.
Liwiro la kupopera madzi limawerengedwa pogwiritsa ntchito njira yoyendetsera madzi ogwa mwaulere. v_t² = 2 gh
v_t² = 2 gh = 2(10)(0,45) = 9
v_t = √9 = 3 m/s
Yankho lolondola ndi A.

2. Thanki yamadzi ili ndi madzi ndipo pali dzenje pakhoma (onani chithunzi). Liwiro la madzi akamatuluka m'dzenje ndi… (g = 10 ms^-2)

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

Zokambirana
Ndizodziwika kuti :
Kutalika (h) = 1,5 m – 0,25 m = 1,25 mamita
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²
Anafunsa Liwiro la madzi akatuluka m'dzenje (v)
Yankhani :
v_t² = 2 gh = 2(10)(1,25) = 25
v_t = √25 = 5 m/s
Yankho lolondola ndi D.

3. Posungira madzi muli madzi otalika mita imodzi (g = 10 ms)^-2) ndipo pakhoma pali dzenje lotayikira madzi (onani chithunzi). Liwiro la madzi otuluka m'dzenjemo ndi...
A. 1 ms^-1
B. 2 ms^-1
C. 4 ms^-1
D. 8 ms^-1
E. 10 ms^-1
Zokambirana
Ndizodziwika kuti :
Kutalika (h) = 1 m – 0,20 m = 0,8 mamita
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²
Anafunsa Liwiro la madzi akatuluka m'dzenje (v)
Yankhani :
v_t² = 2 gh = 2(10)(0,8) = 16
v_t = √16 = 4 m/s
Yankho lolondola ndi D.

4. Thanki yamadzi ili ndi dzenje laling'ono kumanja. Kuthamanga kwa madzi kutuluka m'dzenje ndi…
A. Yofanana ndi h
B. Yofanana ndi h₁
C. Yofanana ndi √h
D. Yofanana ndi h₂
E. Yofanana ndi (h₁ - h₂)
Kukambirana:
Njira yodziwira kuchuluka kwa madzi omwe amatuluka m'dzenje:
v² = 2 gh
Kufotokozera: v = liwiro la madzi, g = kuthamanga kwa mphamvu yokoka, h = mtunda wa dzenje kuchokera pamwamba pa madzi.
Kutengera ndi njira yomwe ili pamwambapa, zatsimikiziridwa kuti kuchuluka kwa madzi omwe amatuluka kumagwirizana ndi muzu wa h.
Yankho lolondola ndi C.

5. Chidebe chokhala ndi madzi chili ndi mabowo awiri mbali zonse ziwiri monga momwe zilili pachithunzi chili pansipa. Bowo lomwe lili kumanzere ndi lalikulu katatu kuposa bowo lomwe lili kumanja. Kuthamanga kwa madzi m'bowo lomwe lili kumanzere = v₁ ndipo kuchuluka kwa madzi omwe ali mu dzenje lomwe lili kumanja ndi v₂Ngati mtunda pakati pa mabowo awiri kuchokera pamwamba pa madziwo ndi womwewo ndiye kuti…
A. v₁ = 1/2 v₂
B. v₁ =v₂
CV₁ = 2 v₂
D. v₁ = 1/4 v₂
E. v₁ = 4 v₂

Kukambirana:
Ndizodziwika kuti :
A₁ = 3, A₂ = 1, v₁ =v₁mu₂ =v₂
Anafunsa :
v₁ ndi v₂ ?
Yankhani :
Njira yodziwira kuchuluka kwa madzi omwe amatuluka m'dzenje:
v²= 2 gh
Kuthamanga kwa madzi m'dzenje kumadalira kokha kuthamanga kwa madzi chifukwa cha mphamvu yokoka ndi kutalika kwake. Mabowo onse awiri ali ndi kutalika kofanana (h) kotero v₁ =v₂.
Yankho lolondola ndi B.