Mienzaniso 8 yeMibvunzo yeKurovana
Kubonderana kwakanyatsonaka
1. Zvinhu zviviri A (3 kg) naB (5 kg) zvinofamba nenzira imwe chete nekumhanya kwe8 ms -1 uye 4 ms -1 zvichiteerana . Kana chinhu A chikarova chinhu B nekusimba kwakakwana, saka kumhanya kwechinhu chimwe nechimwe mushure mekuroverana kuno...
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 (m1 ) = 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: v 1 ' uye v 2 '
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 (v 2 ') mushure mekuroverana kuri 7 m/s.
Mhinduro chaiyo ndiA.
2. Bhora rine simba P rinorova madziro robva rasvetuka. 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 (p t ) = m (-v) = – mv
Mubvunzo: Kuchinja kukuru kwesimba rebhora kwakadii?
Mhinduro:
Kuchinja kwesimba:
Δp = p t – 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 hwakafanana zvinofamba zvichipfuura. A inoenda kuMabvazuva uye B inoenda kuMadokero, nemafambiro V na2V zvichiteerana. Kana zvinhu zvikasangana nekubonderana kwakanyatsosimba, ipapo mushure mekubonderana...
A. V A = V kuMadokero, V B = V kuMabvazuva
B. V A = 2V kuMadokero, V B = 2V kuMabvazuva
C. V A = 2V kuMadokero, V B = V kuMabvazuva
D. V A = V kuMadokero, V B = 2V kuMabvazuva
E. V A = 2V kuenda kuMabvazuva, V B = V kuenda kuMadokero
Kukurukurirana
Zvinozivikanwa kuti:
Zvinhu zvose zvine huremu hwakafanana.
A inofamba ichienda kumabvazuva nekumhanya kweV
B inofamba kumadokero ichimhanya ne2V
Mubvunzo: 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 v 2 ' iri kumhanya kwechinhu (2) mushure mekuroverana kurudyi nekumhanya kwe5 ms -1 , saka hukuru hwekumhanya v 1 ' (1) mushure mekuroverana nde…..
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
Mubvunzo: Kumhanya kwechinhu 1 mushure mekuroverana (v 1 ')
Mhinduro:
Uku kugongana kwe elastic kusina kukwana. v 1 ' inoverengerwa uchishandisa mutemo wekuchengetedza simba:
m 1 v 1 + m 2 v 2 = m 1 v 1 ' + m 2 v 2 '
m (v 1 + v 2 ) = m (v 1 ' + v 2 ')
v 1 + v 2 = v 1 ' + v 2 '
8 + 10 = v 1 ' + 5
18 = v 1 ' + 5
v 1 ' = 18-5
v 1 ' = 13 m/s
Mhinduro chaiyo ndiC.
Kubonderana kweInelastic
5. Bara remagiramu gumi richifamba nekumhanya kwe100 m/s -1 rinorova danda risingamire robva ragara mariri. Kana huremu hwedanda huri magiramu mazana mana nemakumi mapfumbamwe, kumhanya kwedanda redanda nebara mushure mekurovera...
A. 1,0 ms -1
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 (m 1 ) = 10 magiramu
Kumhanya kwepfuti (v 1 ) = 100 ms -1
Huremu hwebhuroko (m2 ) = 490 magiramu
Kumhanya kwebhuroko (v 2 ) = 0 m/s (bhuroko pakuzorora)
Mubvunzo: 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
m 1 v 1 + m 2 v 2 = (m 1 + m 2 ) 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 inorohwa nemota iri kufamba nekumhanya kwe20 m/ s . Mushure mekuroverana, mota mbiri idzi dzinoroverana. 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
Mubvunzo: kumhanya kwemotokari dzese mbiri mushure mekuroverana (v)
Mhinduro:
Fomura yekurovera inelastic:
m 1 v 1 + m 2 v 2 = (m 1 + m 2 ) v
(1400)(10) + (600)(20) = (1400 + 600) v
26000 = 2000 v
v = 13 m/s
Mhinduro chaiyo ndiD.
7. Bara remagiramu makumi maviri richifamba nekumhanya kwe10 m/s - rimwe rakatwasuka rinorova bhora remagiramu makumi matanhatu rakamira pasi. Kana bara rakanamirwa mukati mebara, saka kumhanya kwebara remagiramu ndiko….
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 kuti :
Huremu hwebara (m P ) = magiramu makumi maviri = 0,02 kg
Huremu hwemabhuroko (m B ) = magiramu makumi matanhatu = 0,06 kg
Kumhanya kwekutanga kwebara (v P ) = 10 m/s
Kumhanya kwekutanga kwebhokisi (v B ) = 0
Mubvunzo : kumhanya kwebara uye block mushure mekurovera (v')
Mhinduro :
Nzira yemutemo wekuchengetedza simba kana zvinhu zviviri zvikabatana mushure mekubonderana:
m P v P + m B v B = (m P + m B ) 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 naB, rimwe nerimwe richirema 1,5 kg, anofambirana ne v A = 4 ms -1 uye v B = 5 ms -1 sezvakaratidzwa mumufananidzo. Kana matrolley maviri akabonderana nenzira isina kusimba, saka kumhanya kwematrolley maviri mushure mekubonderana...
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 (negative kuruboshwe)
Mubvunzo: Kana tsaona isina kusimba, sarudza kumhanya kwematrolley maviri mushure mekutsaona.
Mhinduro:
Mutemo wekuchengetedza simba:
m A v A + m B v B = (m A + m B ) 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
