Muenzaniso wekufamba kwakarongeka kwakafanana

Mienzaniso gumi yekufamba kwakarongeka kwakafanana

1. Mota inotanga yakamira. Mushure memasekonzi mashanu, kumhanya kwemota kunowedzera kusvika 20 m/s. Sarudza kuti mota yacho inomhanya zvakadii!
Kukurukurirana
Hapana fomura (shandisa pfungwa) :
Kumhanya kwemotokari kunochinja kuita 20 m/s mushure memasekonzi gumi. Izvi zvinoreva kuti kumhanya kwemotokari kunowedzera ne2 m/s sekondi yega yega. Saka, kumhanya kwemotokari kuri 2 m/s pasekondi = 2 m/s pasekondi = 2 m/s².
Kushandisa fomura :
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 0 (mota haichinji)
Nguva yepakati (t) = masekondi maviri
Kumhanya kwekupedzisira (v)_t) = 20 m/s
Akabvunzwa: kumhanyisa mota (a)
Mhinduro:
Nekuti zvinozivikanwa v_omu_t, t ndokubvunza a wobva washandisa fomura yeGLBB v_t = vo + pa
v_t =v_o + pa
20 = 0 + (a)(10)
20 = 10 a
a = 20 / 10
a = 2 m/s²
Kukura kwekumhanya kwemotokari ndeye 2 m/s²Izvi zvinoreva kuti kumhanya kwemotokari kunowedzera ne2 m/s pasekondi imwe chete yega yega.

2. Mota inotanga kufamba nekumhanya kwe30 m/s ichideredza kumhanya kwayo kusvika yamira mushure memasekonzi matatu. Kukura kwekuderera kwemota kuri...
Kukurukurirana
Pasina fomura (shandisa pfungwa):
Kumhanya kwemotokari kunodzikira kubva pa30 m/s kusvika pa0 m/s mumasekonzi gumi. Izvi zvinoreva kuti kumhanya kwemotokari kunodzikira ne3 m/s sekondi yega yega. Saka, kudzika kwemota kuri 2 m/s pasekondi = 3 m/s.².
Kushandisa fomura:
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 30 m/s
Kumhanya kwekupedzisira (v)_t= = 0
Nguva yepakati (t) = masekondi maviri
Akabvunzwa: kudzikira kwedanho (a)?
Mhinduro:
Nekuti zvinozivikanwa v_omu_t, t ndokubvunza a wobva washandisa fomura yeGLBB v_t = vo + pa
v_t =v_o + pa
0 = 30 + (a)(10)
– 30 = 10 a
a = – 30/10
a = 3 m/s²
Kukura kwekumhanya kwemotokari kuri -3 m/s²Izvi zvinoreva kuti kumhanya kwemotokari kunodzikira ne3 m/s sekondi yega yega. Chiratidzo che negative chinoratidza kuti kumhanya kwemotokari kunodzikira.

3. Chinhu chinotanga chakazorora chinofamba nekumhanya kwakasimba kwe4 m/s.²Sarudza kumhanya uye daro rakafambwa mushure memasekonzi gumi.
Kukurukurirana
(a) Kumhanya
Kukurumidza 4 m/s² Izvi zvinoreva kuti kumhanya kwechinhu kunowedzera ne4 m/s pasekondi imwe chete. Mushure memasekonzi maviri, kumhanya kwechinhu kunosvika 8 m/s. Mushure memasekonzi gumi, kumhanya kwechinhu kunosvika 40 m/s.
(b) Kufamba kure
Kumhanya kwekutanga (v)_o= = 0
Kumhanya kwekupedzisira (v)_t) = 40 m/s
a = 4 m/s²

Makiromita:
s = v_o t + ½ pa² = 0 + ½ (4)(10²) = (2)(100) = 200 mamita
4. Chinhu chinotanga kufamba nekumhanya kwakafanana kwe10 m/s chinova nekuderera kwakafanana kwe2 m/s.² kusvika yamira. Sarudza nguva uye daro rinofambwa nemotokari usati wamira.
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 10 m/s
Kukurumidzisa (a) = -2 m/s² (kana iri kunonoka saka inopiwa chiratidzo chekusaita zvakanaka)
Kumhanya kwekupedzisira (v)_t) = 0 (chinhu chinomira kufamba)
Mubvunzo: nguva uye daro rakafambwa mota isati yamira.
Mhinduro:
(a) Nguva yasara
Nekuti zvinozivikanwa v_omu_t, a ndokubvunzwa t wobva washandisa fomura yeGLBB v_t =v_o + pa
v_t =v_o + pa
0 = 10 + (-2)(t)
0 = 10 – 2 t
10 = 2 t
t = 10 / 2 = masekondi mashanu
Nguva yekumira isati yasvika = masekondi mashanu.
(b) Kufamba kure
v_t² =v_o² + maekisero maviri
0 = 10² + 2(-2) s
0 = 100 – 4 masekondi
100 = masekondi mana
s = 100 / 4 = mamita makumi maviri nemashanu
Nhambwe yakafambwa nemota isati yamira yaive mamita makumi maviri nemashanu

5. Mota inotanga kufamba nekumhanya kwe40 m/s inosangana nekudzikama kwenguva dzose kwe4 m/s.²Sarudza kumhanya uye daro rakafambwa nemota mushure mekuderera kwemota kwemasekonzi mashanu.
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 40 m/s
Kukurumidzisa (a) = -4 m/s²
Nguva yepakati (t) = masekondi maviri
Akabvunzwa: kumhanya (v)_t) uye daro (s) mushure mekudzikira kwemhepo kwemasekondi gumi
Mhinduro:
(a) Kumhanya kwekupedzisira
v_t =v_o + pa = 40 + (-4)(10) = 40 – 40 = 0 m/s
Mushure mekudzikamisa mota kwemasekonzi gumi, kumhanya kwemotokari kunochinja kuita 0 kana kuti mota inomira.
(b) Kufamba kure
s = v_o t + ½ pa² = (40)(10) + ½ (-4)(10)²) = 400 + (-2)(100) = 400 – 200 = mamita mazana maviri
Nhambwe inofamba nemota mushure mekudzikamisa mota kwemasekonzi gumi kusvika yamira ndeyemamita mazana maviri.
6. Kumhanya (v) kwechinhu chinofamba mumutsara wakatwasuka uchipesana nenguva (t) kwakaratidzwa mugirafu yev-t. Nhambwe yakafambwa nechinhu ichi mumasekondi gumi ndeye…

Kukurukurirana
Kureba kwatakafamba (s) = vt = (10-0)(5-0) = (10)(5) = mamita makumi mashanu
7. Girafu riri padivi rinoratidza kufamba kwemotokari yakatwasuka nepamwero usingachinji. Nhambwe inofambiswa nemotokari mumasekonzi mana ndeye….

Kukurukurirana
Kufamba kure = nzvimbo yesikweya + nzvimbo yetriangle
Kureba kwatakafamba = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = 96 mamita
8. Girafu iri padivi rinoratidza mota iri kufamba yakatwasuka nekumhanya kwakasimba. Nhanho yakafambwa nemotokari mumasekonzi mana ndeye….

Kukurukurirana
Kureba kwakafambwa = nzvimbo yetriangle = ½ (4-0) (8-0) = ½ (4) (8) = mamita gumi nematanhatu

9. Tarisa tafura inotevera!

Tafura iri pamusoro inoratidza zvinhu zvitatu zviri kufamba mumutsara wakatwasuka nemwero wakafanana zvichifukidza daro rakafanana. Velocity yekupedzisira P uye velocity yekutanga Q yezvinhu izvi….

A. 20 ms ^-1 uye 20 ms ^-1

B. 20 ms ^-1 uye 28 ms ^-1

C. 20 ms ^-1 uye 40 ms ^-1

D. 40 ms ^-1 uye 20 ms ^-1

E. 40 ms ^-1 uye 40 ms ^-1

Kukurukurirana

Nhambwe yakafambwa yakafanana, saka tanga waverenga daro rakafambwa nechinhu nhamba 3.

Kureba kwakafambwa nechinhu nhamba 3:

Zvinozivikanwa kuti:

Kumhanya kwekutanga (vo ₎ = 0 m/s

Kumhanya kwekupedzisira (v _t ) = 30 m/s

Kukurumidzisa (a) = 3 m/s ²

Akabvunzwa : Kure

Mhinduro:

v _t ² = v _o ² + 2 se

v _t ² – v _o ² = 2 se

30 ² – 0 ² = 2 (3) s

900 – 0 = masekondi matanhatu

900 = masekondi mana

s = 900 / 6

s = mamita zana

Kumhanya kwekupedzisira kwechinhu nhamba 1:

Zvinozivikanwa kuti:

Kumhanya kwekutanga (vo ₎ = 20 m/s

Kukurumidzisa (a) = 4 m/s ²

Nhambwe (s) = mamita zana nemakumi mashanu

Mubvunzo : Kumhanya kwekupedzisira (v _t )

Mhinduro:

v _t ² = v _o ² + 2 se

v _t ² = 20 ² + 2 (4)(150)

v _t ² = 400 + 1200

v _t ² = 1600

v _t = 40 m/s

Kumhanya kwekutanga kwechinhu nhamba 2:

Zvinozivikanwa kuti:

Kumhanya kwekupedzisira (v _t ) = 50 m/s

Kukurumidzisa (a) = 3 m/s ²

Nhambwe (s) = mamita zana nemakumi mashanu

Mubvunzo : Kumhanya kwekutanga (v _o )

Mhinduro:

v _t ² = v _o ² + 2 se

v _t ² – 2 se = v _o ²

50 ² – 2(3)(150) = v _o ²

2500 – 900 = _vhoriyamu ²

1600 ⁼ vhoriyamu ₂

v _o = 40 m/s

Mhinduro chaiyo ndiE.

10. Zvinhu zvitatu zvinofamba zvakananga nepamwero wakafanana panzvimbo yakati sandara. Zvinhu zvose zvitatu zvinofamba nekukurumidzira kwakafanana. Hukuru hwezvinhu zvitatu mushure mekufamba kwemasekonzi gumi hunoratidzwa mutafura inotevera:

Data reP neQ riri mutafura rine kukosha kwaro….

A. 6 ne140

B. 6 ne120

C. 4 ne120

D. 4 ne100

Chikamu 1 ne100

Kukurukurirana

Kukurumidzisa kwezvinhu zvitatu kwakafanana, saka tanga waverenga kukurumidzisa kwechinhu 1.

Kukurumidzisa kwechinhu 1:

Zvinozivikanwa kuti:

Kumhanya kwekutanga (vo ₎ = 2 m/s

Kumhanya kwekupedzisira (v _t ) = 22 m/s

Nhambwe (s) = mamita zana nemakumi mashanu

Akabvunzwa : Kure

Mhinduro:

v _t ² = v _o ² + 2 se

v _t ² – v _o ² = 2 se

22 ² – 2 ² = 2 a (120)

484 – 4 = 240 a

480 = 240 a

a = 480/240

a = 2 m/s ²

Kumhanya kwekutanga kwechinhu 2:

Zvinozivikanwa kuti:

Kukurumidzisa (a) = 2 m/s ²

Kumhanya kwekupedzisira (v _t ) = 24 m/s

Nhambwe (s) = mamita zana nemakumi mashanu

Mubvunzo : Kumhanya kwekutanga (v _o )

Mhinduro:

v _t ² = v _o ² + 2 se

24 ² = vo ₂ ⁺ 2 (2)(140)

576 = vho ₂ ⁺ 560

576 – 560 = _vhoriyamu ²

16 = _vhoriyamu ²

v _o = 4 m/s

Kureba kwechinhu 3:

Zvinozivikanwa kuti:

Kumhanya kwekutanga (vo ₎ = 0 m/s

Kumhanya kwekupedzisira (v _t ) = 20 m/s

Kukurumidzisa (a) = 2 m/s ²

Akabvunzwa : Kureba ( s )

Mhinduro:

v _t ² = v _o ² + 2 se

20 ² = 0 ² + 2 (2) s

20 ² = 2 (2) s

400 = masekondi mana

s = 400/4

s = mamita zana

Mhinduro chaiyo ndiD.

Mibvunzo pamusoro pekufamba kwakarongeka kwakafanana

1. Mota inotanga yakamira. Mushure memasekonzi mashanu, kumhanya kwemota kunowedzera kusvika 15 m/s. Sarudza kuti mota yacho inomhanya zvakadii!
2. Mota inotanga kufamba nekumhanya kwe24 m/s ichideredza kumhanya kwayo kusvika yamira mushure memasekonzi matatu. Kukura kwekuderera kwemota kuri...
3. Chinhu chinotanga chakazorora chinofamba nekumhanya kwakasimba kwe5 m/s.²Sarudza kumhanya uye daro rakafambwa mushure memasekonzi gumi.
4. Chinhu chinotanga kufamba nekumhanya kwakafanana kwe5 m/s chinova nekuderera kwakafanana kwe5 m/s.² kusvika yamira. Sarudza nguva uye daro rinofambwa nemotokari usati wamira.
5. Mota inotanga kufamba nekumhanya kwe30 m/s inosangana nekudzikama kwenguva dzose kwe5 m/s.²Sarudza kumhanya uye daro rakafambwa nemota mushure mekuderera kwemota kwemasekonzi mashanu.
6. Kumhanya (v) kwechinhu chinofamba mumutsara wakatwasuka uchipesana nenguva (t) kwakaratidzwa mugirafu yev-t. Nhambwe yakafambwa nechinhu ichi mumasekondi gumi ndeye…

7. Girafu riri padivi rinoratidza kufamba kwemotokari yakatwasuka nepamwero usingachinji. Nhambwe inofambiswa nemotokari mumasekonzi mana ndeye….

8. Girafu iri padivi rinoratidza mota iri kufamba yakatwasuka nekumhanya kwakasimba. Nhanho yakafambwa nemotokari mumasekonzi mana ndeye….

[Chirungu: Kukurumidza nguva dzose - matambudziko nemhinduro ]