3 Izibonelo zokushayisana okunwebeka kancane
1. Into engamagremu angu-500 ihamba ngesivinini esingu-10 m/s kanti into engamagremu angu-200 ihamba ngesivinini esingu-12 m/s. Lezi zinto ezimbili ziyasondelana bese zishayisana. Uma ngemva kokushayisana, isivinini sento engamagremu angu-500 singama-6 m/s, khona-ke isivinini sento engamagremu angu-200…
Ingxoxo
I-Diketahui :
Isisindo sento 1 (m1) = amagremu angu-500 = 0,5 kg
Isisindo sento 2 (m2) = amagremu angu-200 = 0,2 kg
Ijubane lokuqala lento 1 (v)1) = -10 m/s
Ijubane lokuqala lento 2 (v)2) = 12 m/s
Ijubane lokugcina lento 1 (v)1') = 6 m/s
v1 uphawu olungalungile kanye no-v2 kuyinto enhle ngoba isiqondiso sezinto ezimbili siphambene.
Kubuziwe : isivinini sokugcina sento 2 (v2')
Jawab :
Ekungqubuzaneni okungaphelele kwe-elastic, okubizwa nangokuthi ukushayisana okunwebeka kancane, umthetho wokulondolozwa kwamandla e-kinetic awusebenzi futhi kuphela umthetho wokulondolozwa komfutho esebenzayo.
m1 v1 +m2 v2 = m1 v1' + m2 v2'
(0,5)(-10) + (0,2)(12) = (0,5)(6) + (0,2)(v2')
-5 + 2,4 = 3 + 0,2 v2'
-2,6 = 3 + 0,2 v2'
-2,6 – 3 = 0,2 v2'
-5,6 = 0,2 v2'
v2' = -5,6 / 0,2
v2' = -28 m/s
Isivinini sento 2 ngemva kokushayisana (v2') ingu-28 m/s.
v1' inhle futhi i-v2' i-negative ngoba ngemva kokushayisana, izikhombisi-ndlela zezinto ezimbili ziphambene. Izimpawu ezingezinhle nezingezinhle zibonisa kuphela ukuthi izinto ezimbili zihamba ngezindlela eziphambene.
2. Izinto ezimbili ezinobunzima obufanayo ziyahamba ziqonde komunye nomunye ngendlela eqondile, lapho ijubane lento 1 lingu-6 m/s kanti ijubane lento 2 lingu-8 m/s. Uma ngemva kokushayisana, into 2 iya ngakwesobunxele ngesivinini esingu-5 m/s, khona-ke ubukhulu kanye nesiqondiso sejubane lento 1 ngemva kokushayisana...
Ingxoxo
I-Diketahui :
Isisindo sento 1 (m1) = m
Isisindo sento 2 (m2) = m
Ijubane lokuqala lento 1 (v)1) = -6 m/s
Ijubane lokuqala lento 2 (v)2) = 8 m/s
Ijubane lokugcina lento 2 (v)2') = 5 m/s
Kubuziwe : ubukhulu kanye nesiqondiso sejubane lento 1 ngemva kokushayisana
Jawab :
Ifomula yomthetho wokulondolozwa komfutho :
m1 v1 +m2 v2 = m1 v1' + m2 v2'
mv1 + mv2 = mv1' + mv2'
m (v1 +v2) = m (v1' + v2')
Ubuningi bezinto zombili buyafana ngakho u-m ususiwe kulesi sibalo:
v1 +v2 =v1' + v2'
-6 + 8 = v1' + 5
2 – 5 = v1'
v1' = -3 m/s
Isivinini sento 1 ngemva kokushayisana (v1') ingu-3 m/s. Uphawu olunegethivu lubonisa ukuthi isiqondiso sokunyakaza kwento 1 siphambene nesiqondiso sokunyakaza kwento 2. Uma ngemva kokushayisana kwento 2 isiya kwesokudla, khona-ke into 1 iya ngakwesobunxele. Ngokufanayo, uma ngaphambi kokushayisana kwento 2 iya ngakwesobunxele, khona-ke into 1 iya kwesokudla.
3. Ibhola 1 elinesisindo esingu-1 kg kanye nebhola 2 elinesisindo esingu-2 kg lihamba ngendlela efanayo bese lishayisana ngendlela enwebeka kancane. Ngaphambi kokushayisana, ibhola 1 lihamba ngesivinini esingu-10 m/s kanye nebhola 2 lihamba ngesivinini esingu-5 m/s. Thola isivinini sebhola 1 ngemva kokushayisana uma isivinini sebhola 2 ngemva kokushayisana singama-4 m/s.
Ingxoxo
I-Diketahui :
Isisindo sebhola 1 (m1) = 1 kg
Isisindo sebhola 2 (m2) = 2 kg
Ijubane lokuqala lebhola 1 (v)1) = 10 m/s
Ijubane lokuqala lebhola 2 (v)2) = 5 m/s
Ijubane lokugcina lebhola 2 (v)2') = 4 m/s
Zombili izinto zihamba ngendlela efanayo ukuze ijubane libe nophawu olufanayo (okukhethiwe okuhle).
Kubuziwe : isivinini sokugcina sebhola 1 (v1')
Jawab :
m1 v1 +m2 v2 = m1 v1' + m2 v2'
(1)(10) + (2)(5) = (1)(v)1') + (2)(4)
10 + 10 = v1' + 8
20 – 8 = v1'
v1' = 12 m/s
Ijubane lebhola 1 ngemva kokushayisana liyi-12 m/s.
