Mienzaniso yemibvunzo yekukurumidza uye yekukurumidza

Mienzaniso gumi nerimwe yeMibvunzo yeMomentum nePulse

1. Bhora rine huremu hwe 0,2 kg rinokandwa rakatwasuka nekumhanya kwe 10 m/s robva rarova madziro, bhora robva radzokera shure nekumhanya kumwe chete. Kuchinja kwesimba rebhora kuri...
Kukurukurirana

2. Bhora rine huremu hwemagiramu gumi kudonha kwakasununguka kubva pakukwirira kwakati, inorova pasi nekumhanya kwe15 m/s uye yobva yasvetuka-svetuka mudenga nekumhanya kwe10 m/s. Sarudza kuti chii chinopa simba!
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = magiramu mashanu = 0,01 kg
Kumhanya kwekutanga kwebhora (v)_o) = -15 m/s
Kumhanya kwekupedzisira kwebhora (v)_t) = 10 m/s
Akabvunzwa : Kufungidzira (I)
Jawab :
Fomura yedzidziso kukurumidza-kwepfungwa :
Hukuru hwepfungwa iyi ndeinotevera:
Ini = 0,01 (10 – (-15)) = 0,01 (10 + 15)
Ini = 0,01 (25)
I = 0,25 kg m/s

3. Bhora remagiramu mazana maviri rinokandwa rakatwasuka nekumhanya kwe4 m/s, bhora robva rarohwa nenzira imwecheteyo nebhora rekutanga kurovera. Nguva yekubata kwebhora nebat i2 milliseconds, uye kumhanya kwebhora mushure mekubuda mubat i12 m/s. Hukuru hwesimba rinoitwa nebat pabhora i…
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = magiramu mashanu = 0,2 kg
Kumhanya kwekutanga kwebhora (v)_o) = 4 m/s
Kumhanya kwekupedzisira kwebhora (v)_t) = 12 m/s
Nguva yekubatana (t) = 2 milliseconds = (2/1000) masekondi = 0,002 masekondi
Akabvunzwa : Hukuru hwesimba (F)
Jawab :
Fomura yepfungwa:
Ini = F t
Fomura yekuchinja kwekukurumidza:
mv_t - mv_o = m (v)_t - v_o)
Fomura yedzidziso yeImpulse-momentum theorem :
Simba rinoitwa nebat riri pabhora i800 Newtons.

4. Bhora rine huremu hwemagiramu makumi maviri rinokandwa nespeed ye v₁ = 4 ms^-1 kuruboshwe. Mushure mekurova rusvingo bhora rinosvetuka nekumhanya kwev₂ = 2 ms^-1 kurudyi. Hukuru hwepfungwa inoburitswa ndi….

A. 0,24 Ns
B. 0,12 Ns
C. 0,08 Ns
D. 0,06 Ns
E. 0,04 Ns

Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora (m) = magiramu mashanu = 0,020 kg
Kumhanya kwebhora risati raroverana (v)_o) = -4 m/s (kuruboshwe)
Kumhanya kwebhora mushure mekurovera (v)_t) = +2 m/s (kurudyi)
v_o inopiwa chiratidzo chekuramba kuti isiyanise divi rayo kubva pavt.
Akabvunzwa: Kuvhunduka
Mhinduro:
Kukurumidza (I) = kuchinja kwesimba (Δp) = mv_t - mv_o
Kufungidzira (I) = m (v)_t - v_o) = 0,02 (2 – (-4))
Kufungidzira (I) = 0,02 (2 + 4) = 0,02 (6)
Kufungidzira (I) = 0,12 masekondi eNewton.
Mhinduro chaiyo ndeiyi B.

5. Mufananidzo unotevera unoratidza mabhora maviri A (huremu = 2 kg) uye bhora B (huremu = 5 kg) pamberi uye mushure mekuroverana. Kana kuroverana kwacho kwakanyatsopfava, saka kumhanya kwebhora A pamberi pekuroverana ndekwe….

A. 12 ms^-1

B. 10 ms ^-1

C. 5 ms ^-1

D. 4 ms ^-1

E. 2 ms ^-1

Kukurukurirana

Zvinozivikanwa kuti:

Huremu hwebhora A (m _A ) = 2 kg

Huremu hwebhora B (m _B ) = 5 kg

Kumhanya kwebhora B risati rasangana (v)_B) = 2 m/s

Kumhanya kwebhora A mushure mekuroverana (v)_A') = 5 m/s

Kumhanya kwebhora B mushure mekuroverana (v)_B') = 4 m/s

Mabhora ese ari maviri asati aroverana uye mushure mekuroverana anoenda kurudyi saka kumhanya kunopiwa chiratidzo chakanaka.

Akabvunzwa: Kumhanya kwebhora A pamberi pekurovera (v)_A)

Mhinduro:

Verenga kumhanya kwebhora A usati waroverana (v)_A) uchishandisa mutemo wekuchengetedza momentum formula:

m_A v_A +m_B v_B = m_A v_A' + m_B v_B'

2(v _A ) + (5)(2) = (2)(5) + (5)(4)

2(v _A ) + 10 = 10 + 20

2(v _A ) + 10 = 30

2(v _A ) = 30 – 10

2(v _A ) = 20

v _A = 20/2

v_A = 10 m/s

Mhinduro chaiyo ndeiyi B.

6. Zvinhu A naB zvinofamba sezvakaratidzwa mumufananidzo. Kana zvikaitika kuti pave nekuroverana kwakanyatsopfava, kumhanya kwechinhu B mushure mekuroverana kunosvika 15 m/s.^-1, zvino kumhanya kwechinhu A mushure mekubonderana ndiko...

A. 2 ms^-1

B. 4 ms ^-1

C. 8 ms ^-1

D. 10 ms ^-1

E. 12 ms ^-1

Kukurukurirana

Zvinozivikanwa kuti:

Huremu hwechinhu A (m _A ) = 5 kg

Huremu hwechinhu B (m _B ) = 2 kg

Kumhanya kwechinhu A chisati chasangana (v _A ) = 12 m/s

Kumhanya kwechinhu B chisati chasangana (v)_B) = 10 m/s

Kumhanya kwechinhu B mushure mekuroverana (v)_B') = 15 m/s

Zvinhu zvese zviri zviviri zvisati zvaitika uye zvapera zvinoenda kurudyi saka kumhanya kunopiwa chiratidzo chakanaka.

Akabvunzwa: Kumhanya kwechinhu A mushure mekuroverana (v)_A')

Mhinduro:

Verenga kumhanya kwebhora A usati waroverana (v)_A) uchishandisa mutemo wekuchengetedza momentum formula:

m_A v_A +m_B v_B = m_A v_A' + m_B v_B'

(5)(12) + (2)(10) = (5)v _A ' + (2)(15)

60 + 20 = (5)v _A ' + 30

80 = (5)v _A ' + 30

80 – 30 = (5)v _A '

50 = (5)v _A '

v _A ' = 50/5

v _A ' = 10 m/s

Mhinduro chaiyo ndiD.

7. Bhora reping pong rine huremu hwemagiramu mashanu kudonha kwakasununguka kubva pakukwirira kwakati (g = 10 ms^-2). Paunenge uchirova pasi speed bhora re 6 ms^-1 uye pakarepo mushure mekurovera pasi bhora rinosvetuka kumusoro nekumhanya kwe4 ms^-1Hombe impulse Chinoshanda pabhora ndechekuti...

A. 0,50 Ns
B. 0,25 Ns
C. 0,10 Ns
D. 0,05 Ns
E. 0,01 Ns

Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = magiramu mashanu = 0,005 kg
Kumhanya kwebhora nguva pfupi isati yasvika pasi (v)_o) = -6 m/s
Kumhanya kwebhora mushure mekunge rarova pasi (v)_t) = 4 m/s
Kumhanya kwakanaka uye kusina kunaka zvinoreva kuti bhora rakananga kumhanya kwaro kana kuti bhora rakananga kufamba kwaro risati rasangana kunopesana nekwakananga kufamba kwaro mushure mekusangana.
Akabvunzwa : Kufungidzira (I)
Jawab :

Dzidziso yeImpulse-momentum Inotaura izvozvo impulse (I) zvakafanana ne shanduko mukufambira mberi (Δp).
I = Δp = mv_t - mv_o = m (v)_t - v_o)
Ini = (0,005)(4 – (-6)) = (0,005)(4 + 6) = (0,005)(10) = 0,05 Newton second
Mhinduro chaiyo ndiD.

8. Bhora rine huremu hwe 0,5 kg rinodonha zvakasununguka kubva pakukwirira kwe h.₁ = 7,2 m pamusoro pepasi uye inosvetuka kusvika pakukwirira kwe h₂ = 3,2 m. Kana kukurumidza kunokonzerwa nekukweva kwenyika = 10 ms^-2, chido chekubata bhora ndicho...
A. 2,0 Ns
B. 3,0 Ns
C. 10 Ns
D. 40 Ns
E. 80 Ns
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = 0,5 kg
Kureba kwebhora remahara rinodonha (h)₁) = 7,2 mamita
Kureba kwebhora rinosvetuka (h)₂) = 3,2 mamita
Kukurumidza kwesimba regiravhiti repasi (g) = 10 m/s²
Akabvunzwa : Kufungidzira kuri kuita bhora
Jawab :
Kumhanya kwebhora nguva pfupi isati yarova (v)_o)
Verenga kumhanya kwebhora usati warova uchishandisa fomura yekudonha yakasununguka. Zvichienderana nekukwirira (h) = 7,2 metres, kumhanyisa nekuda kwegiravhiti (g) = 10 m/s² uye ndakakumbira kumhanya kwekupedzisira nguva pfupi isati yasvika pasi, saka shandisa fomura yacho v² = 2 gh
v_o² = 2(10)(7,2) = 144
v_o = 2(10)(7,2) = 12 m/s
Kumhanya kwebhora risati rarova (v)_o) iri -12 m/s. Chiratidzo chekuramba chiripo chinongoratidza gwara chete.
Kumhanya kwebhora mushure mekuroverana (v)_t)
Verenga kumhanya kwebhora mushure mekurovera uchishandisa fomura yekufamba wakamira uchikwira. Zvichienderana nekukwirira (h) = 3,2 metres, kumhanyisa nekuda kwegiravhiti (g) = -10 m/s², kumhanya kwekupedzisira pakukwirira kwakanyanya (v)_t²) = 0 uye kumhanya kwekutanga kunobvunzwa pakarepo mushure mekudonha pasi, saka shandisa fomura v_t² =v_o² + 2 gh
v_t² =v_o² + 2 gh
0 = v_o² + 2 (-10)(3,2)
v_o² = 64
v_o = √64 = 8 m/s
Kumhanya kwebhora mushure mekuroverana (v)_t) iri 8 m/s
Kufungidzira kuri kuita bhora (I)
Impulse inoverengwa uchishandisa fomura ye impulse-momentum theorem.
Kukurumidza (I) = kuchinja kwesimba (Δp)
Ini = m (v)_t - v_o) = (0,5)(8-(-12)) = (0,5)(8 + 12) = 0,5(20) = 10 Masekondi eNewton
Mhinduro chaiyo ndiC.

9. Bhora remagiramu zana rinokandwa rakatwasuka nekumhanya kwe5 m/s. Bhora rinozorohwa nenzira imwecheteyo neyaro rekutanga. Kana bhora rikaramba rakabata nebat kwe2 ms uye kumhanya kwebhora mushure mekubuda mubat kuri 10 m/s, hukuru hwesimba rinoitwa nebat hu...
A. 200 N
B. 250 N
C. 300 N
D. 350 N
E. 400 N
Kukurukurirana:

Zvinozivikanwa :
m = magiramu zana = 0,1 kg
v_o = +5 m/s
t = 2 milliseconds = 2 x 10^-3 chepiri
v_t = +10 m/s
Akabvunzwa :
Simba rinoitwa nemunhu anorova bhora (F)?
Jawab :
Fomura yepfungwa :
Ini = F t
Fomura yekuchinja kwekukurumidza :
Dzidziso yeImpulse-momentum :
Kusundidzira = kuchinja kwesimba

Mhinduro chaiyo ndeiyi B.

10. Bhora rine huremu hwe 0,1 kg rinokandwa rakatarisa kurudyi nekumhanya kwe 20 m/s. Mushure mekurohwa, bhora rinoenda kuruboshwe nekumhanya kwe 30 m/s. Simba rinopihwa nebat kubhora nderiri….
A. 4 Ns
B. –4 Ns
C. 5 Ns
D. –5 Ns
E. 10 Ns
Kukurukurirana:
Zvinozivikanwa :
m = 0,1 kg, v_o = +20 m/s, v_t = -30 m/s
Akabvunzwa :
Kuvhunduka (I)?
Jawab :
Kusundidzira = kuchinja kwesimba
Ini = m (v)_t - v_o) = (0,1)(-30 – 20) = (0,1)(-50) = -5 Ns
Mhinduro chaiyo ndiD.

11. Baseball ine 0,5 kg inotanga yaenda kuruboshwe nekumhanya kwe2 m/s. Zvadaro bhora rinorohwa nesimba F rakapesana nekufamba kwebhora, saka kumhanya kwebhora kunoshanduka kuita 5 m/s. Kana bhora rikasangana nebat kwesekondi 0,01, kuchinja kwesimba kuno...
A. 8,0 kg m/s
B. 6,5 kg m/s
C. 5,5 kg m/s
D. 3,5 kg m/s
E. 2,5 kg m/s
Kukurukurirana:
Zvinozivikanwa :
m = 0,5 kg, v_o = -2 m/s, v_t = 5 m/s, t = 0,01 masekondi
Akabvunzwa :
Kuchinja kwekufambira mberi?
Jawab :
Kuchinja kwesimba = m (v)_t - v_o) = (0,5)(5 – (-2)) = (0,5)(7) = 3,5 kg m/s = 3,5 N s
Mhinduro chaiyo ndiD.