Mienzaniso 8 yeMibvunzo yeKurovana
Kubonderana kwakanyatsonaka
1. Zvinhu zviviri A (3 kg) naB (5 kg) zvinofamba nenzira imwe chete nekumhanya kwe8 m/s chimwe nechimwe.-1 uye 4 ms-1 Kana chinhu A chikarova chinhu B nekusimba kwakakwana, ipapo kumhanya kwechinhu chimwe nechimwe mushure mekubonderana...
A. 3 ms -1 uye 7 ms -1
B. 6 ms -1 uye 10 ms -1
C. 4,25 ms -1 uye 10 ms -1
D. 5,5 ms -1 uye 5,5 ms -1
E. 8 ms -1 uye 4 ms -1
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwechinhu A (m)1) = 3 kg
Huremu hwechinhu B (m2) = 5 kg
Kumhanya kwechinhu A (v)1) = 8 ms-1
Kumhanya kwechinhu B (v)2) = 4 ms-1
Kubonderana kwakanyatsonaka
Akabvunzwa: v1' uye v2'
Mhinduro:
Kana zvinhu zvinobonderana zvine huremu hwakasiyana uye kumhanya kwezvinhu zviviri mushure mekubonderana kusingazivikanwe, saka kumhanya mushure mekubonderana kunoverengerwa uchishandisa equation inotevera:
Kana zvinhu zvese zviri kufamba nenzira imwe chete, kumhanya kwazvo kunova kwakanaka. Kana zvinhu zvese zviri kufamba nenzira dzakasiyana, kumhanya kwechimwe chinhu kunova kwakanaka uye kumhanya kwechimwe chinhu kunova kure.
Saka kumhanya kwechinhu A (v)1') mushure mekuroverana kuri 3 m/s uye kumhanya kwechinhu B (v2') mushure mekuroverana kwemotokari, 7 m/s.
Mhinduro chaiyo ndiA.
2. Bhora rine simba P rinorova madziro robva rasvetuka-svetuka. Kuroverana kwacho kwakanyatsosimba uye divi rakananga rakamira. Kuchinja kwesimba rebhora kuri...
A. zero
B. p/4
C. p/4
D.P
E. 2P
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora = m
Kumhanya kwebhora risati rarova = v
Kumhanya kwebhora mushure mekurovera = -v (bhora rinosvetuka kuruboshwe)
Kumhanya kwebhora risati rasangana (po) = mv
Kumhanya kwebhora mushure mekuroverana (pt) = m (-v) = – mv
Akabvunzwa: Kukura kwekuchinja kwesimba rebhora
Mhinduro:
Kuchinja kwesimba:
Δp = pt - po
Δp = – mv – mv
Δp = – 2 mv
Δp = -2p
Hukuru hwekuchinja kwesimba rebhora i2p. Chiratidzo chekuramba chiripo chinoratidza divi.
Mhinduro chaiyo ndiE.
3. Zvinhu zviviri A naB zvine huremu hwakaenzana zvinofamba zvichipfuura. A inofamba kumabvazuva uye B inofamba kumadokero, nespeed V na 2V, zvichiteerana. Kana zvinhu zvikasangana nekubonderana kwakanyatsosimba, ipapo mushure mekubonderana,...
A. VA = V kuenda kuMadokero, VB = V kuenda kuMabvazuva
B. VA = 2V kuenda kuMadokero, VB = 2V kuMabvazuva
C. VA = 2V kuenda kuMadokero, VB = V kuenda kuMabvazuva
D.VA = V kuenda kuMadokero, VB = 2V kuMabvazuva
E.VA = 2V kuMabvazuva, VB = V kuenda kumadokero
Kukurukurirana
Zvinozivikanwa kuti:
Zvinhu zvose zvine huremu hwakafanana.
A inofamba ichienda kumabvazuva nekumhanya kweV
B inofamba kumadokero ichimhanya ne2V
Akabvunzwa: Kumhanya kweA neB mushure mekubonderana
Mhinduro:
Kana huwandu hwezvinhu zvese zviri zviviri hwakafanana uye kuroverana kwacho kwakapfava zvakakwana, saka zvinhu zviviri zvinochinjana kumhanya mushure mekuroverana.
Saka mushure mekuroverana, A inoenda kumadokero ine kumhanya kwe2V uye B inoenda kumabvazuva ine kumhanya kweV.
Mhinduro chaiyo ndiC.
Kubonderana Kwekusimba Zvishoma
4. Zvinhu zviviri zvine huremu hwakafanana zvinofamba zvakananga zvichienda kune mumwe nemumwe sezvakaratidzwa mumufananidzo!
Kana v2' inomhanya kwechinhu (2) mushure mekurovera kurudyi nechiyero che5 ms-1, ipapo hukuru hwekukurumidza v1 ' (1) mushure mekuroverana kwacho…..
A. 7 ms-1
B. 9 ms-1
C. 13 ms-1
D. 15 ms-1
E. 17 ms-1
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwezvinhu zvose zviri zviviri hwakafanana = m
Kumhanya kwechinhu 1 chisati chasangana (v)1) = 8 m/s
Kumhanya kwechinhu 2 chisati chasangana (v)2) = 10 m/s
Kumhanya kwechinhu 2 mushure mekuroverana (v)2') = 5 m/s
Akabvunzwa: Kumhanya kwechinhu 1 mushure mekuroverana (v)1')
Mhinduro:
Uku kugongana kwe elastic kusina kukwana. v1' inoverengerwa uchishandisa mutemo wekuchengetedza simba:
m1 v1+m2 v2 = m1 v1' + m2 v2'
m (v)1 + v2) = m (v1' + v2')
v1 + v2 =v1' + v2'
8 + 10 = v1' + 5
18 = v1' + 5
v1' = 13 m/s
Mhinduro chaiyo ndiC.
Kubonderana kweInelastic
5. Bhara remagiramu gumi rinoburitswa nekumhanya kwe100 m/s.-1 , inorovera nebhuroko rehuni risingamire yobva yagara mukati maro. Kana huremu hwebhuroko rehuni huri magiramu mazana mana nemakumi mapfumbamwe, kumhanya kwebhuroko rehuni nebara mushure mekurovera...
B. 2,0 ms-1
C. 2,5 ms-1
D. 4,0 ms-1
E. 5,0 ms-1
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebara (m1) = magiramu 10
Kumhanya kwepfuti (v)1) = 100 ms-1
Huremu hwebhuroko (m2) = magiramu 490
Kumhanya kwebhuroko (v)2) = 0 m/s (block pakuzorora)
Akabvunzwa: Kumhanya kwebhuroko rehuni uye bara mushure mekurovera
Mhinduro:
Bara rinorova danda risingamire robva rapinda mukati maro, saka uku kugongana kusina kusimba. Nzira yekugongana kusina kusimba ndeiyi:
Kumhanya kusati kwaitika tsaona = kumhanya mushure mekuitika tsaona
m1 v1 +m2 v2 = (m1 +m2) v'
(10)(100) + (490)(0) = (10 + 490) v'
1000 + 0 = 500 v'
1000 = 500 v'
v' = 1000 / 500
v' = 2 m/s = 2 ms-1
Mhinduro chaiyo ndeiyi B.
6. Rori iri kufamba nekumhanya kwe10 m/s-1 yakarohwa nemota ichifamba nekumhanya kwe20 ms-1Mushure mekuroverana, mota mbiri idzi dzakaroverana. Kana huremu hwerori huri 1400 kg uye huremu hwemota huri 600 kg, kumhanya kwemotokari mbiri mushure mekuroverana...
A. 6 ms-1
B. 9 ms-1
C. 11 ms-1
D. 13 ms-1
E. 17 ms-1
Kukurukurirana
Mushure mekuroverana kwemotokari mbiri idzi dzakanamatirana, zvikaita kuti pave nekuroverana kusina kusimba.
Zvinozivikanwa kuti:
Kumhanya kwerori (v)1) = 10 m/s
Kumhanya kwemotokari (v)2) = 20 m/s
Huremu hwerori (m1) = 1400 kg
Huremu hwemota (m2) = 600 kg
Akabvunzwa: kumhanya kwemotokari mbiri mushure mekuroverana (v)
Mhinduro:
Fomura yekurovera inelastic:
m1 v1 +m2 v2 = (m1 +m2) muri
(1400)(10) + (600)(20) = (1400 + 600) v
26000 = 2000 v
v = 13 m/s
Mhinduro chaiyo ndiD.
7.Sbhora remagiramu makumi maviri rinofamba nekumhanya kwe10 ms-1 Nzira yakatwasuka inorova bhokisi rine huremu hwemagiramu makumi matanhatu riri pasi. Kana bara rakanamira mubhokisi, saka kumhanya kwebhokisi kwacho kuri….
A. 1,0 ms-1
B. 1,5 ms-1
C. 2,0 ms-1
D. 2,5 ms-1
E. 3,0 ms-1
Kukurukurirana
Zvinozivikanwa :
Huremu hwebara (mP) = magiramu mazana mashanu = 0,02 kg
Huremu hwebhuroko (mB) = magiramu mazana mashanu = 0,06 kg
Kumhanya kwekutanga kwebara (v)P) = 10 m/s
Kumhanya kwekutanga kweblock (v)B= = 0
Akabvunzwa : kumhanya kwebara uye block mushure mekubonderana (v')
Jawab :
Fomura mutemo wekuchengetedza simba kana zvinhu zviviri zvikabatana mushure mekubonderana:
mP vP +mB vB = (mP +mB) v'
(0,02)(10) + (0,06)(0) = (0,02 + 0,06) v'
0,2 + 0 = 0,08 v'
0,2 = 0,08 v'
v' = 0,2 / 0,08
v' = 2,5 m/s
Mhinduro chaiyo ndiD.
8. Matrolley maviri A neB, rimwe nerimwe richirema 1,5 kg, anofambirana nekumhanya v.A = 4 ms-1 uye vB = 5 ms-1 sezviri mumufananidzo. Kana matrolley maviri akaroverana nenzira isina kusimba, saka kumhanya kwematrolley maviri mushure mekuroverana kwacho...
A. 4,5 ms-1 kurudyi
B. 4,5 ms-1 kuruboshwe
C. 1,0 ms-1 kuruboshwe
D. 0,5 ms-1 kuruboshwe
E. 0,5 ms-1 kurudyi
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwetrolley A (m)A) = 1,5 kg
Huremu hwetrolley B (m)B) = 1,5 kg
Kumhanya kwetrolley A isati yarovera (v)A) = 4 m/s (yakanaka kurudyi)
Kumhanya kwetrolley B isati yarovera (v)B) = -5 m/s (kurudyi kuri negative)
Akabvunzwa: Kana tsaona yacho isina kusimba, sarudza kumhanya kwematrolley ese ari maviri mushure mekutsaona.
Mhinduro:
Mutemo wekuchengetedza simba:
mAvA +mBvB = (mA +mB) v'
(1,5)(4) + (1,5)(-5) = (1,5 + 1,5) v'
6 – 7,5 = (3) v'
-1,5 = (3) v'
v' = -1,5 / 3
v' = -0,5 m/s
Chiratidzo chekuramba chinoreva kuti mushure mekuroverana kwemotokari dzese dzinoenda kuruboshwe, nenzira imwechete netrolley B. Izvi zvine musoro nekuti simba retrolley B rakakura kupfuura simba retrolley A.
Kwakabva mubvunzo:
Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa
