Zitsanzo 4 za Mavuto a Kusinthasintha kwa Madzi
1. Gawo limodzi la chitoliro lili ndi mainchesi 20 ndipo gawo lina lili ndi mainchesi 10. Ngati kuchuluka kwa madzi m'chitoliro chachikulu cha chitoliro ndi 30 cm/s, ndiye kuti kuchuluka kwa madzi m'chitoliro chaching'ono cha chitoliro ndi...
A. 80 cm/s
B. 100 cm/s
C. 120 cm/s
D. 130 cm/s
E. 140 cm/s
Kukambirana:
Ndizodziwika kuti :
r1 = 10 cm, r2 = 5 masentimita
v1 = 30 cm/s
Anafunsa :
v2 ?
Yankhani :
Chiyerekezo cha kupitirira kwa madzi:
A1 v1 =A2 v2
Zambiri:
A1 = gawo lopingasa la chitoliro 1, v1 = kuchuluka kwa madzi mu chitoliro 1
A2 = gawo lopingasa la chitoliro 2, v2 = kuchuluka kwa madzi mu chitoliro 2
Malo otsetsereka a chitoliro:
A1 = phi r12 = (3,14)(10 cm)2 = (3,14)(100 cm2)
A2 = phi r22 = (3,14)(5 cm)2 = (3,14)(25 cm2)
Kuchuluka kwa madzi mu chitoliro 2:
A1 v1 =A2 v2
(3,14)(100 cm)2)(30 cm/s) = (3,14)(25 cm2)(v2)
(100)(30 cm/s) = (25)(v)2)
3000 / 25 = v2
v2 = 120 cm/s
Yankho lolondola ndi C.
2. Mafuta amayenda kuchokera ku chitoliro A kupita ku chitoliro B kenako kupita ku chitoliro C. Chiŵerengero cha dera lozungulira la chitoliro A ndi dera lozungulira la chitoliro C ndi 5:3. Ngati kuchuluka kwa mafuta mu chitoliro A kuli kofanana ndi 2v, ndiye kuti kuchuluka kwa mafuta omwe amalowa mu chitoliro C ndi...
A. (3/10)v
B. 2v
C. (10/3)v
D. 5v
9v
Kukambirana:
Ndizodziwika kuti :
A1 = 5, A2 = 3, v1 = 2v
Anafunsa :
v2 ?
Yankhani :
A1 v1 =A2 v2
(5)(2v) = (3)(v)2)
10v = 3(v)2)
v2 = (10/3)v
Kuchuluka kwa mafuta mu chitoliro C ndi (10/3)v
Yankho lolondola ndi C.
3. Madzi amayenda kudzera mu chitoliro monga momwe zasonyezedwera pachithunzi chotsatirachi. Ngati dera lopingasa A1 = 8 cm2 , A2 = 2 cm2 ndi liwiro la madzi v2 = 2 m/s ndiye kuti kukula kwa v1 ndi …
A. 0,5 ms-1
B. 1,0 ms-1
C. 1,5 ms-1
D. 2,0 ms-1
E. 2,5 ms-1
Zokambirana
Ndizodziwika kuti :
Malo ozungulira 1 (A)1) = 8 cm2
Malo ozungulira 2 (A)2) = 2 cm2
Liwiro lamadzimadzi pa gawo lachiwiri (v)2) = 2 m/s
Anafunsa : liwiro la madzi pa gawo 1 (v1)
Yankhani :
Chiyerekezo cha kupitirira kwa madzi :
A1 v1 =A2 v2
8 v1 = (2)(2)
8 v1 = 4
v1 = 4 / 8 = 0,5 m/s
Yankho lolondola ndi A.
4. Yang'anani chithunzichi! Ngati kukula kwa gawo lalikulu kuli kawiri kukula kwa gawo laling'ono, liwiro la kuyenda kwa madzi mu chitoliro chaching'ono ndi...
A. 01 ms-1
B. 04 ms-1
C. 08 ms-1
D. 16 ms-1
E. 20 ms-1
Zokambirana
Ndizodziwika kuti :
Chigawo chachikulu cha m'mimba mwake (d)1= = 2
Ulalo waukulu wopingasa (r)1) = ½ tsiku1 = ½ (2) = 1
Malo akuluakulu odutsa (A1) = π r12 = π (1)2 = π (1) = π
M'mimba mwake waung'ono (d)2= = 1
Ulalo wocheperako pang'ono (r)2) = ½ tsiku2 = ½ (1) = ½
Malo ang'onoang'ono odutsa (A2) = π r22 = π (1/2)2 = π (1/4) = ¼ π
Liwiro la kuyenda kwa madzi m'gawo lalikulu (v1) = 4 m/s
Anafunsa : liwiro la kuyenda kwa madzi pa gawo laling'ono v2)
Yankhani :
Chiyerekezo cha kupitirira kwa madzi :
A1 v1 =A2 v2
π 4 = ¼ π (v2)
4 = ¼ (v2)
v2 = 8 m/s
Yankho lolondola ndi C.
