Kufamba kwemutsetse kusingaenzaniswi - matambudziko nemhinduro

Kufamba kwemutsetse kusingaenzaniswi - matambudziko nemhinduro

1.

Tafura iri pamusoro inoratidza data rezvinhu zvitatu zvinofamba daro rakafanana nekumhanya kwakasimba.

Ndeipi kumhanya kwekupedzisira kwechinhu P uye kumhanya kwekutanga kwechinhu Q?

Solution:

Kutanga, sarudza daro rakafambwa nechinhu 3.

Kureba kwakafambwa nechinhu 3 :

Zvinozivikanwa :

Kumhanya kwekutanga (vo ₎ = 0 m/s

Kumhanya kwekupedzisira (v _t ) = 30 m/s

Kukurumidzisa (a) = 3 m/s ²

Kudiwa : Kure

Solution:

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 gumi

Kumhanya kwekupedzisira kwechinhu 1 :

Zvinozivikanwa:

Kumhanya kwekutanga (vo ₎ = 20 m/s

Kukurumidzisa (a) = 4 m/s ²

Nhambwe (s) = mamita zana nemakumi mashanu

Zvinodiwa: Kumhanya kwekupedzisira (v _t )

Solution:

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 2:

Zvinozivikanwa:

Kumhanya kwekupedzisira (v _t ) = 50 m/s

Kukurumidzisa (a) = 3 m/s ²

Nhambwe (s) = mamita zana nemakumi mashanu

Zvinodiwa: Kumhanya kwekutanga (v _o )

Solution:

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

2. Zvinhu zvitatu zvinofamba nendege yakatwasuka nekumhanya nguva dzose. Zvinhu zvitatu zvine kumhanya kwakafanana. Ruzivo rwezvinhu zvitatu pakufamba mumasekonzi gumi, rwunoratidzwa mumufananidzo uri pazasi.

Sarudza P na Q.

Solution:

Kutanga, sarudza kukurumidza kwechinhu 1.

Kukurumidzisa kwechinhu 1:

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 2 m/s

Kumhanya kwekupedzisira (v _t ) = 22 m/s

Nhambwe (s) = mamita zana nemakumi mashanu

Zvinodiwa: Kure

Solution:

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:

Kukurumidzisa (a) = 2 m/s ²

Kumhanya kwekupedzisira (v _t ) = 24 m/s

Nhambwe (s) = mamita zana nemakumi mashanu

Zvinodiwa: Kumhanya kwekutanga (v _o )

Solution:

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:

Kumhanya kwekutanga (vo ₎ = 0 m/s

Kumhanya kwekupedzisira (v _t ) = 20 m/s

Kukurumidzisa (a) = 2 m/s ²

Zvinodiwa : Kureba (s)

Solution:

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 s

3. Sarudza daro rakafambwa nechinhu mumasekonzi makumi mana.

Solution:

Nzvimbo 1 = nzvimbo yerectangle = (20-0)(8-0) = (20)(8) = mamita 160

Nzvimbo 2 = nzvimbo yetriangle = ½ (25-20)(8-0) = ½ (5)(8) = (5)(4) = mamita makumi maviri

Nzvimbo 3 = nzvimbo yetriangle = ½ (30-25)(8-0) = ½ (5)(8) = (5)(4) = mamita makumi maviri

Nzvimbo 4 = nzvimbo yerectangle = (40-30)(8-0) = (10)(8) = mamita 80

Nhambwe yakafambwa mumasekonzi makumi mana = 160 + 20 + 20 + 80 = 280 metres

4. Kuchinja kwekumhanya kwechinhu mumasekonzi maviri kwataurwa negirafu iri pazasi. Sarudza daro rakafambwa nechinhu chacho.

Solution:

Nzvimbo 1 = nzvimbo yetriangle = ½ (5-0)(20-0) = ½ (5)(20) = (5)(10) = mamita makumi maviri

Nzvimbo 2 = nzvimbo yerectangle = (15-5)(20-0) = (10)(20) = mamita 200

Nzvimbo 3 = nzvimbo yetriangle = ½ (20-15)(20-0) = ½ (5)(20) = (5)(10) = mamita makumi maviri

Kufamba kwedaro remasekonzi makumi maviri = 50 + 200 + 50 = mamita mazana matatu

1. Chii chinosiyanisa kufamba kwemutsara kusina kufanana nekufamba kwemutsara kwakafanana?
   • Pindura: Kufamba kwemutsara kusina kufanana kunosanganisira kuchinja kwekukurumidza nekufamba kwenguva, zvichireva kuti pane kukurumidza. Kusiyana neizvi, kufamba kwemutsara kwakafanana zvinoreva kuti chinhu chinofamba nekumhanya kwakasimba uye pasina kukurumidza.
2. Nhambwe inofambiswa nechinhu chisina kuenzana mukufamba kwemutsara inoenderana sei nenzvimbo iri pasi pegirafu yayo yekukurumidza-nguva?
   • Pindura: Nhambwe inofambiswa nechinhu chisina kuenzana mukufamba kwemutsara yakaenzana nenzvimbo iri pasi pegirafu yayo yekukurumidza-nguva.
3. Kana girafu yekuwedzera nguva yechinhu iri mutsetse wakatwasuka wakatwasuka pamusoro penguva, inoratidzei nezvekufamba kwechinhu chacho?
   • Pindura: Zvinoratidza kuti chinhu chiri kuenderera mberi nekumhanya zvakanaka. Kumhanya kwechinhu kuri kuramba kuchiwedzera nekukurumidza.
4. Sei avhareji yekukurumidza isingangoverengerwi seavhareji yekukurumidza kwekutanga nekwekupedzisira mukufamba kusingaenderane?
   • Pindura: Pakufamba kusingaenderane, kumhanya hakusi kwakafanana, saka kufamba chaiko kunogona kuva kwakawanda kana kushoma pane zvinofanotaurwa nekungoenzanisa kumhanya kwekutanga nekwekupedzisira. Nzira chaiyo yekufamba kusingaenderane ndeyekubatanidza kumhanya panguva yakatarwa kana kushandisa kinematic equations inotsanangura kukurumidza.
5. Ungatsanangura sei kufamba kwechinhu chine girafu yekukurumidza-nguva iri mutsetse wakatwasuka unotsvedza pasi?
   • Pindura: Mutsetse wakatwasuka unotsvedza pasi pagirafu yevelocity-time unoratidza kuti chinhu chiri kufamba ne negative acceleration inoramba ichienderera mberi, kureva kuti, chiri kudzikamisa kana kunonoka kana pakutanga chaive ne positive velocity.
6. Mukufamba kusingaenderane, kumhanya kwepakarepo panguva imwe chete kunoenderana sei nekutsetseka kwegirafu yenguva yekutama panguva iyoyo?
   • Pindura: Kumhanya kwepakarepo panguva yakati mukufamba kusingaenderane kunopiwa nekutsvedza kana gradient yegirafu yenguva yekutama panzvimbo iyoyo chaiyo.
7. Ko curve iri pagirafu yenguva yekutama inoratidza chii nezvehunhu hwekufamba kwechinhu?
   • Pindura: Mutsetse uri pagirafu yekufamba-famba unoratidza kufamba kusingaenderane, zvichireva kuti kumhanya kwechinhu kuri kuchinja (kungave kuri kuwedzera kana kuderera) nekufamba kwenguva.
8. Kana girafu yenguva yekutama kwechinhu iri parabolic uye ichivhurika kumusoro, ungati chii nezvekumhanya kwayo?
   • Pindura: Kana girafu yenguva yekutama iri parabola inovhurika kumusoro, zvinoreva kuti chinhu chiri kufamba nekukurumidza nguva dzose.
9. Kukurumidza kwechinhu chiri kufamba nenzira isingaenderane kunoenderana sei nenzvimbo iri pasi pegirafu yayo yekukurumidza-nguva?
   • Pindura: Kuchinja kwevelocity (iyo kana yakawedzerwa nehuremu inopa shanduko mumomentum) yechinhu chiri mukufamba kusingaenderane kwakaenzana nenzvimbo iri pasi pegirafu yayo yekumhanyisa-nguva. Zvakakosha kuziva kuti girafu yekumhanyisa-nguva inopa shanduko muvelocity, kwete kukurumidza zvakananga.
10. Chii chinokanganisa kukurumidza kwechinhu chisina kufamba kwakafanana (negative acceleration)?

• Pindura: Kukurumidza kunonoka, kunowanzonzi kuderera kwesimba, kunokonzera kudzikira kwesimba rechinhu. Kana chinhu pakutanga chikava nespeed yakanaka uye chikamhanya nespeed yakaipa, kumhanya kwacho kunoderera, uye kana kuderera kukaramba kuripo, chinhu chinogona kuchinja mafambiro acho.