1. Chipolopolo cha magalamu 30 chomwe chikuyenda pa liwiro la 30 m/s chagundana ndi chipika cha 1-kg pamene chapumula. Dziwani liwiro la chipikacho ngati chipolopolocho ndi chipikacho zalumikizana pamodzi chifukwa cha kugundanako.
Zodziwika:
Kulemera kwa chipolopolo (m 1 ) = magalamu 30 = 0.03 kg
Kulemera kwa chipika (m2 ) = 1 kg
Liwiro loyamba la chipolopolo ( v 1 ) = 30 m/s
liwiro loyambirira la chipika (v 2 ) = 0 ( chipika chili pamalo opumulira )
Kufunidwa : liwiro la chipolopolo ndi chipika pambuyo pa kugundana (v')
Yankho:
m 1 v 1 + m 2 v 2 = (m 1 + m 2 ) v'
(0.03)(30) + (1)(0) = (0.03 + 1) v'
0.9 + 0 = 1.03 v'
0.9 = 1,03 v'
v' = 0.9 / 1,03
v' = 0.87 m/s
[irp]
2. Mpira wa biliyadi A wolemera makilogalamu 2 ukuyenda ndi liwiro v A = 6 ms −1 umagundana ndi mpira B wolemera wofanana. Ngati kugundana kuli kosalala bwino, kodi liwiro la mipira iwiriyo ndi lotani pambuyo pa kugundana?
Zodziwika:
Kulemera A (m A ) = 2 kg
Kulemera B (m B ) = 2 kg
Liwiro loyamba la mpira A (v A ) = -6 m/s
Liwiro loyamba la mpira B (v B ) = 4 m/s
Zizindikiro za kuphatikiza ndi kuchotsera zimasonyeza kuti zinthuzo zimayenda mosiyana.
Ankafuna : liwiro la mipira iwiriyo pambuyo pa kugundana. (v')
Yankho:
m A v A + m B v B = (m A ' + m B ) v'
(2)(-6) + (2)(4) = (2 + 2) v'
-12 + 8 = 4 v'
-4 = 4 v'
v' = -4 / 4
v' = -1 m/s
[irp]
3. m1 = makilogalamu 3 ndi m2 = makilogalamu 4 yandikirana wina ndi mnzake mbali yosiyana ndi liwiro la v1 = 10 m/s ndi v2 = 12 m/s. Ngati kugundana kuli kosalala bwino, kodi liwiro la mipira iwiriyo pambuyo pa kugundana ndi lotani?
Zodziwika:
Chinthu cholemera 1 (m1 ) = 3 kg
Chinthu cholemera 2 (m2 ) = 4 kg
Liwiro la chinthu 1 (v 1 ) = -10 m/s
Liwiro la chinthu 2 (v 2 ) = 12 m/s
Kufunidwa : liwiro pambuyo pa kugundana (v')
Yankho:
m 1 v 1 + m 2 v 2 = (m 1 ' + m 2 ) v'
(3)(-10) + (4)(12) = (3 + 4) v'
-30 + 48 = 7 v'
18 = 7 v'
v' = 18 / 7
v' = 2.6 m/s
[wpdm_package id='1157′]
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