Chitsanzo cha kugundana pang'ono

Zitsanzo zitatu za kugundana pang'ono

1. Chinthu cha magalamu 500 chimayenda pa liwiro la 10 m/s ndipo chinthu cha magalamu 200 chimayenda pa liwiro la 12 m/s. Zinthu ziwirizi zimayenda moyandikana ndipo zigundana. Ngati pambuyo pa kugundana, liwiro la chinthu cha magalamu 500 ndi 6 m/s, ndiye kuti liwiro la chinthu cha magalamu 200 ndi…

Zokambirana
Ndizodziwika kuti :
Kulemera kwa chinthu 1 (m1) = magalamu 500 = 0,5 kg
Kulemera kwa chinthu 2 (m2) = magalamu 200 = 0,2 kg
Liwiro loyambirira la chinthu 1 (v)1) = -10 m/s
Liwiro loyambirira la chinthu 2 (v)2) = 12 m/s
Liwiro lomaliza la chinthu 1 (v)1') = 6 m/s
v1 chizindikiro choipa ndi v2 ndi zabwino chifukwa mbali ya zinthu ziwirizo ndi yosiyana.
Anafunsa : liwiro lomaliza la chinthu 2 (v2')
Yankhani :
Mu kugundana kopanda ungwiro kwa elastic, komwe kumatchedwanso kugundana pang'ono, lamulo losunga mphamvu ya kinetic siligwira ntchito ndipo limangogwira ntchito lamulo losunga mphamvu zoyenera.
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
Liwiro la chinthu 2 pambuyo pa kugundana (v2') ndi 28 m/s.
v1' ndi wabwino ndipo v2' ndi negative chifukwa pambuyo pa kugundana, malangizo a zinthu ziwirizi amakhala moyang'anizana. Zizindikiro zoipa ndi zabwino zimangosonyeza kuti zinthu ziwirizi zimayenda mosiyana.

2. Zinthu ziwiri zofanana zimayenderana molunjika, pomwe liwiro la chinthu 1 ndi 6 m/s ndipo liwiro la chinthu 2 ndi 8 m/s. Ngati pambuyo pa kugundana, chinthu 2 chisuntha kumanzere pa liwiro la 5 m/s, ndiye kuti kukula ndi njira ya liwiro la chinthu 1 pambuyo pa kugundana ndi...
Zokambirana
Ndizodziwika kuti :
Kulemera kwa chinthu 1 (m1) = m
Kulemera kwa chinthu 2 (m2) = m
Liwiro loyambirira la chinthu 1 (v)1) = -6 m/s
Liwiro loyambirira la chinthu 2 (v)2) = 8 m/s
Liwiro lomaliza la chinthu 2 (v)2') = 5 m/s
Anafunsa : kukula ndi malangizo a liwiro la chinthu 1 pambuyo pa kugundana
Yankhani :
Njira ya lamulo losunga mphamvu :
m1 v1 +m2 v2 = m1 v1' + m2 v2'
mv1 + mv2 = mv1' + mv2'
m (v)1 +v2) = m (v1' + v2')
Unyinji wa zinthu zonse ziwiri ndi womwewo kotero m imachotsedwa mu equation:
v1 +v2 =v1' + v2'
-6 + 8 = v1' + 5
2 – 5 = v1'
v1' = -3 m/s
Liwiro la chinthu 1 pambuyo pa kugundana (v1') ndi 3 m/s. Chizindikiro chotsutsa chimasonyeza kuti njira yoyendetsera chinthu 1 ndi yosiyana ndi njira yoyendetsera chinthu 2. Ngati chinthu 2 chikatha kugundana, ndiye kuti chinthu 1 chikatha kusuntha kumanzere. Mofananamo, ngati chinthu 2 chikatha kugundana, ndiye kuti chinthu 1 chikatha kusuntha kumanja.

3. Mpira 1 wolemera makilogalamu 1 ndi mpira 2 wolemera makilogalamu 2 umasuntha mbali imodzi ndikugundana pang'ono. Mpira 1 usanagunde, umayenda pa liwiro la 10 m/s ndipo mpira 2 umayenda pa liwiro la 5 m/s. Dziwani liwiro la mpira 1 mutagundana ngati liwiro la mpira 2 mutagundana ndi 4 m/s.
Zokambirana
Ndizodziwika kuti :
Kulemera kwa mpira 1 (m1) = 1 kg
Kulemera kwa mpira 2 (m2) = 2 kg
Liwiro loyamba la mpira 1 (v)1) = 10 m/s
Liwiro loyamba la mpira 2 (v)2) = 5 m/s
Liwiro lomaliza la mpira 2 (v)2') = 4 m/s
Zinthu zonse ziwiri zimayenda mbali imodzi kotero kuti liwiro limakhala ndi chizindikiro chomwecho (chosankhidwa kukhala chabwino).
Anafunsa : liwiro lomaliza la mpira 1 (v)1')
Yankhani :
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
Liwiro la mpira 1 pambuyo pa kugundana ndi 12 m/s.

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