Mibvunzo yemuenzaniso wekufamba kweMatsutso Yemahara

16 Mibvunzo Yemuenzaniso Kufamba Kwemahara Kwemwaka weKudonha.

1. Muchero wekokonati unobuda padzinde wosvika pasi mushure memasekonzi matatu. Kokonati inomhanyisa sei kana yasvika pasi? g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
t = masekondi maviri
g = 10 m/s²
Akabvunzwa :
Kumhanya kwekupedzisira (v)_t)?
Jawab :
Pasina fomura.
Kana muchero wacho wadonha zvakasununguka, unowana simba rekukwevera pasi re10 m/s² kana 10 m/s pasekondi imwe chete. Izvi zvinoreva kuti kumhanya kwemuchero kunowedzera ne10 m/s pasekondi imwe chete yega yega.
Mushure memasekonzi maviri, kumhanya kwemuchero = 10 m/s
Mushure memasekonzi maviri, kumhanya kwemuchero = 20 m/s
Mushure memasekonzi matatu, kumhanya kwemuchero = 30 m/s.
Kushandisa fomura.
Fomura yeGLBB :
v_t =v_o + gt
h = v_o t + ½ gt²
v_t² =v_o² + 2 gh
Mukuwa kwakasununguka, chinhu chacho hachina kumhanya kwekutanga (v)_o = 0). Saka fomura iri pamusoro inoshanduka kuita:
Fomura yeGJB :
v_t = gt
h = ½ gt²
v_t² = 2 gh
Tsananguro: v_t = kumhanya kwekupedzisira, g = kumhanyisa nekuda kwegiravhiti, t = nguva yekusvika, h = kukwirira.
Apiwa g na t, akabvunza v_t saka shandisa fomura yekutanga.
v_t = gt
v_t = (10)(3)
v_t = 30 m/s
Kumhanya kwekupedzisira kwemuchero = 30 m/s

2. Chinhu chinodonha zvakasununguka kubva pakakwirira kwemamita makumi maviri kubva pasi. Sarudza (a) kumhanya kwekokonati painorova pasi (b) Nguva iyo muchero unodonha kusvika wasvika pasi.
g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
h = mamita 5
g = 10 m/s²
Akabvunzwa :
(a) Kumhanya kwekupedzisira (v)_t)?
(b) Nguva yasara (t)?
Jawab :
Fomura yeGJB :
v_t = gt
h = ½ gt²
v_t² = 2 gh
(a) Kumhanya kwekupedzisira (v)_t)
Vapiwa h na g, vakabvunza v_t saka shandisa fomura yechitatu.
v_t² = 2 gh = 2(10)(5) = 100
v_t = 10 m/s
(b) Nguva (t)
Zvichipiwa h na g, mubvunzo ndewekuti t, saka shandisa fomura yechipiri.
h = ½ gt²
5 = ½ (10) t²
5 = 5 t²
t² = 5/5 = 1
t = masekondi maviri
Nguva yasara = sekondi imwe chete

3. Bhora rinodonhedzwa kubva pakakwirira. Sarudza (a) kukurumidza kwechinhu (b) daro rakafambwa mumasekonzi mashanu (c) nguva yekuti chinhu chisvike kumhanya kwe20 m/s
g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
g = 10 m/s²
Akabvunzwa :
(a) Kukurumidza (a) ?
(b) Kureba kwakafambwa (h) kana t = masekondi matatu?
(c) Nguva (t) kana v_t = 20 m/s ?
Jawab :
Fomura yeGJB
v_t = gt
h = ½ gt²
v_t² = 2 gh
(a) Kukurumidza (a) ?
Kukurumidza kwechinhu = kukurumidza nekuda kwegiravhiti = 10 m/s²Izvi zvinoreva kuti kumhanya kwechinhu chacho kunowedzera ne10 m/s pasekondi imwe chete.
(b) Kureba kwakafambwa (h) kana t = masekondi matatu?
Kana wapiwa g = 10 uye t = 3, kuti uwane h, shandisa fomura yechipiri.
h = ½ gt² = ½ (10)(3) = (5)(3)²) = (5)(9) = 45 mamita
(c) Nguva (t) kana v_t = 20 m/s ?
Zvapiwa g = 10 uye v_t = 20, akabvunza t saka shandisa fomura yekutanga.
v_t = gt
20 = (10) t
t = 20 / 10 = masekondi mashanu

4. Dombo rinodonhedzwa kubva pamusoro peshongwe yakareba mamita makumi masere. Kana kukwira kwesimba nekuda kwegiravhiti kuri 10 m/s², kumhanya kwedombo parinorova pasi ndiko…
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
E. 50 m/s
Kukurukurirana
Zvinozivikanwa kuti:
h = mamita 80
g = 10 m/s²
Akabvunzwa:
Kumhanya kwekupedzisira (v)_t) dombo?
Mhinduro:

Mhinduro chaiyo ndiD.

5. Chinhu chinodonhedzwa kubva muchivako chine nhurikidzwa dzakawanda pasina kumhanya kwekutanga. Mushure memasekonzi maviri chinhu chinosvika pasi (g = 10 m/s²Kureba uko chinhu chinodonhedzwa kubva pachiri...
A. 10 mamita
B. 20 mamita
C. 30 mamita
D. 40 mamita
E. 50 mamita
Kukurukurirana
Zvinozivikanwa kuti:
t = masekondi maviri
g = 10 m/s²
Akabvunzwa:
Kureba (h)?
Mhinduro:

Mhinduro chaiyo ndeiyi B.

6. Bhora rinodonhedzwa kubva pakakwirira X sezvakaratidzwa mumufananidzo unotevera. Kana kureba kwebhora panguva yekusvetuka kwekutanga kuri 50 cm uye kusvetuka kwechipiri kuri 20 cm, saka hukuru hwa x ndi….
A. 60 cm
B. 70 cm
C. 100 cm
Kureba 125 cm
E. 150 cm
Kukurukurirana

Mhinduro chaiyo ndiD.

7. Tarisa mufananidzo unotevera! Pakutanga bhora rinoburitswa kubva panzvimbo (1) uye mushure mekubata pasi, bhora rinosvetuka. Kana g = 10 ms^-2, saka kukwirira h ndiko….
A. 74 cm
B. 70 cm
C. 66 cm
Kureba 64 cm
E. 60 cm
Kukurukurirana

Mhinduro chaiyo ndiD.

8. Dombo rinodonhedzwa kubva pamusoro peshongwe yakareba mamita makumi mana nemashanu. Kana kukurumidza nekuda kwegiravhiti pasi 10 ms^-2, kumhanya kwedombo parinorova pasi ndiko…

A. 25 ms^-1
B. 30 ms^-1
C. 35 ms^-1
D. 40 ms^-1
E. 45 ms^-1

Kukurukurirana
Zvinozivikanwa :
Kureba (h) = mamita makumi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : Kumhanya kwedombo kana rikarova pasi (v)_t)
Jawab :
Fomura kufamba kwemahara kwekudonha :
v_t² = 2 gh
Kumhanya kwedombo kana rarova pasi :
v_t² = 2 (10)(45) = 900
v_t = √900 = 30 m/s²
Mhinduro chaiyo ndeiyi B.

9. Chinhu chinodonha kubva pamusoro peshongwe pasina kumhanya kwekutanga, mushure memasekonzi maviri chinhu chinosvika pasi. Kana g = 10 ms^-2, ipapo kukwirira kweshongwe ndiko...

A. 40 m
B. 25 m
C. 20 m
D. 10 m
E. 5 m

Kukurukurirana
Zvinozivikanwa :
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : Kureba kweshongwe (h)

Jawab :
Fomura yekufamba kwemahara yekudonha :
h = ½ gt²
Kureba kweshongwe :
h = ½ (10)(2)² = (5)(4) = mamita makumi maviri
Mhinduro chaiyo ndiC.

10. Chinhu chinorema 2 kg chinodonha zvakasununguka kubva pakakwirira kwemamita makumi maviri kubva pasi. Zvinotora nguva yakareba sei kuti chinhu chisvike pasi? (g = 10 ms^-2)
A. Masekondi 20
B. Masekondi 18
C. Masekondi mazana matanhatu nemakumi matatu
D. Masekondi mazana mashanu nemakumi manomwe
E. Masekondi maviri
Kukurukurirana
Huremu hwechinhu hahuna kutariswa mukugadzirisa matambudziko ekudonha kwemahara.
Zvinozivikanwa :
Kureba (h) = mamita makumi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa Nguva yekuti chinhu chisvike pasi (t)
Jawab :
Fomura yekufamba kwemahara yekudonha :
h = ½ gt²
Nguva yekuti chinhu chisvike pasi :
20 = ½ (10)(t)²)
20= (5)(t)²)
20/5 = t²
4 = t²
t = √4
t = masekondi maviri
Mhinduro chaiyo ndiE.

11. Dombo rinodonhedzwa kubva pamusoro peshongwe yakareba mamita 45. Kana kukwira kwesimba nekuda kwegiravhiti kuri 10 m/s^-2, kumhanya kwedombo parinorova pasi ndiko…
A. 25 ms^-1
B. 30 ms^-1
C. 35 ms^-1
D. 40 ms^-1
E. 45 ms^-1
Kukurukurirana

12. Chinhu chinodonha kubva pamusoro peshongwe pasina kumhanya kwekutanga, mushure memasekonzi maviri chinhu chinosvika pasi. Kana g = 10 ms^-2, ipapo kukwirira kweshongwe ndiko...
A. 40 m
B. 25 m
C. 20 m
D. 10 m
E. 5 m
Kukurukurirana

13. Chinhu chinorema 2 kg chinodonha zvakasununguka kubva pakakwirira kwemamita makumi maviri kubva pasi. Zvinotora nguva yakareba sei kuti chinhu chisvike pasi? (g = 10 ms^-2)
A. Masekondi 20
B. Masekondi 18
C. Masekondi mazana matanhatu nemakumi matatu
D. Masekondi mazana mashanu nemakumi manomwe
E. Masekondi maviri
Kukurukurirana
Huremu hwechinhu hahuna kutariswa mukugadzirisa matambudziko ekudonha kwemahara.

14. Makokonati nemango zvinowira pamwe chete zvichibva pakukwirira kwe h₁ uye h₂Kana h₁ :h₂ = 2 : 1, saka chiyero chenguva inowira pakati pekokonati nemango ndeche...
A. 1: 2
B. 1 : 2√2
C. √2 : 1
D. 2: 1
E. 2√2 : 1
Kukurukurirana
Zvinozivikanwa kuti:
Makokonati anodonha kubva pakukwirira kwe h₁ = 2
Mango yakadonha kubva pakakwirira kusvika h₂ = 1
Kukurumidza kunokonzerwa negiravhiti = g
Mubvunzo: Kuenzanisa nguva yekudonha pakati pekokonati nemango (t₁ : t₂)
Mhinduro:
Zvichienderana nekukwirira (h) nenguva (t), fomura yekufamba kwemahara inowa inoshandiswa ndeye h = 1/2 gt²

Mhinduro chaiyo ndiD.

15. Chinhu chinodonhedzwa kubva pakakwirira h pamusoro pevhu. Kana chasvika pasi, kumhanya kwacho i10 m/s.^-1, ipapo nguva inodiwa kuti usvike pakakwirira kwehafu yeawa kubva pasi (g = 10 ms^-2) iri…
A. 1/2 √ 2 masekonzi
B. Masekondi 1
C. √ Masekondi matatu
D. Masekondi mazana mashanu nemakumi manomwe
E. Masekondi 5√2
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya kwekupedzisira (v)_t) = 10 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Mubvunzo: Nguva inodiwa kuti munhu asvike pakakwirira kwehafu yeawa kubva pasi
Mhinduro:
Verenga kukwirira h:
Zvinozivikanwa kuti v_t uye g, akabvunza h saka shandisa fomura yekufamba kwemahara yekudonha v_t² = 2 g h.

Kureba 1/2 awa = 1/2 (mamita mashanu) = mamita 2,5. Nguva inodiwa kuti usvike pakukwirira kwemamita 2,5 kubva pasi ndeiyi:

16. Tarisa mufananidzo unotevera!
Kufamba kwekokonati inodonha (mufananidzo I) uye kufamba kwebhora rakakandwa rakamira kumusoro kusvika panzvimbo yakakwirira nemudzidzi (mufananidzo II) zvine rudzi rwekufamba….
Kukurukurirana
Mufananidzo 1 = kufamba kwemahara kwekudonha = kufamba kwakarongeka kwakafanana (GLBB)
Mufananidzo 2 = kufamba kwakamira kumusoro = kufamba kwakasimba kwemutsara (GLBB) kwakaderera
Mhinduro chaiyo ndiA.

Mibvunzo yemahara yekufamba kwemwaka wekudonha
1. Muchero wekokonati unobuda padzinde wosvika pasi mushure memasekonzi maviri. Kokonati inomhanyisa sei kana yasvika pasi? g = 10 m/s²
Mhinduro:
20 m / s
2. Chinhu chinodonha zvakasununguka kubva pakakwirira kwemamita makumi maviri kubva pasi. Sarudza (a) kumhanya kwekokonati painorova pasi (b) Nguva iyo muchero unodonha kusvika wasvika pasi.
g = 10 m/s²
Mhinduro:
(a) = 20 m/s, (b) = masekondi maviri
3. Bhora rinodonhedzwa kubva pakakwirira. Sarudza (a) kukurumidza kwechinhu (b) daro rakafambwa mumasekonzi mashanu (c) nguva yekuti chinhu chisvike kumhanya kwe10 m/s
g = 10 m/s²
Mhinduro:
(a) = 10 m/s², (b) = mamita 125, (c) sekondi imwe

[Chirungu : Kufamba kwemahara kwemwaka wechando - matambudziko nemhinduro]