Ukushayisana okunwebeka ngokuphelele ngobukhulu obulodwa - izinkinga nezixazululo

1. Ibhola elingamagremu angu-200, u-A, elihamba ngesivinini esingama-10 m/s lishaya ibhola elingamagremu angu-200, u-B, lapho liphumule. Liyini ijubane lebhola u-A nebhola u-B ngemva kokushayisana?

Kwaziwa:

Isisindo sebhola A (m A ) = 200 amagremu = 0.2 kg

Isisindo sebhola B (m B ) = 200 amagremu = 0.2 kg

Isivinini sebhola A ngaphambi kokushayisana (v A ) = 10 m/s

Isivinini sebhola B ngaphambi kokushayisana (v B ) = 0

Okufunwayo: isivinini sebhola A (v A ') kanye nesivinini sebhola B (v B ') ngemva kokushayisana

Isixazululo:

v A ' = v B = 0

v B ' = v A = 10 m/s

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2. Izinto ezimbili ezilingana ngobuningi ziyasondelana, zishayisane bese zigxumagxuma. Ijubane lesisindo u-A ngaphambi kokushayisana lingu-8 m/s kanti ijubane lesisindo u-B ngaphambi kokushayisana lingu-12 m/s. Ubukhulu kanye nesiqondiso sejubane lesisindo u-A kanye nesisindo u-B ngemva kokushayisana kuyini!

Kwaziwa:

Isisindo A (m A ) = m

Isisindo B (m B ) = m

Isivinini sesisindo A ngaphambi kokushayisana (v A ) = -8 m/s

Isivinini sesisindo B ngaphambi kokushayisana (v B ) = 12 m/s

Izimpawu zokuhlanganisa kanye nokususa zibonisa ukuthi izinto zihamba ngendlela ehlukile.

Okufunwayo: ubukhulu kanye nesiqondiso sejubane lesisindo u-A (v A ') kanye nesisindo u-B (v B ') ngemva kokushayisana

Isixazululo:

Ekushayisaneni okunwebeka ngokuphelele, uma izinto zinobunzima obulinganayo khona-ke ijubane lika-A ngemva kokushayisana (v A ') = ijubane lika-B ngaphambi kokushayisana (v B ) kanye nejubane lika-B ngemva kokushayisana (v B ') = ijubane lika-A ngaphambi kokushayisana (v A ).

Uma ngaphambi kokushayisana, u-A uya kwesokudla kanti u-B uya ngakwesobunxele, khona-ke, ngemva kokushayisana, u-A uya ngakwesobunxele kanti u-B uya kwesokudla.

Izinto zinesisindo esilinganayo futhi ukushayisana kunwebeka ngokuphelele ngakho zombili izinto zishintshana ngesivinini.

v A ' = -v B = -12 m/s

v B ' = v A = 8 m/s

Izimpawu zokuhlanganisa kanye nokususa zibonisa ukuthi izinto zihamba ngendlela ehlukile.

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3. Into engamakhilogremu amabili, u-A, ehamba ngesivinini esingama-10 m/s ishaya ibhola elingamakhilogremu angu-4, u-B, ihamba ngesivinini esingama-20 m/s. Uma ukushayisana kunwebeka ngokuphelele, liyini ijubane lento u-A kanye nento u-B ngemva kokushayisana?

Kwaziwa:

Isisindo A (m A ) = 2 kg

Isisindo B (m B ) = 4 kg

Isivinini sento A ngaphambi kokushayisana (v A ) = 10 m/s

Isivinini sento B ngaphambi kokushayisana (v B ) = 20 m/s

Okufunwayo : isivinini sento A (v A ') kanye nesivinini sento B (v B ') ngemva kokushayisana

Isixazululo :

Ekushayiseni okunwebeka ngokuphelele , uma izinto zinesisindo esilinganayo futhi zisondelana, ijubane lento ngemva kokushayisana libalwa kusetshenziswa le fomula:

Ukushayisana okunwebeka ngokuphelele ngobukhulu obulodwa - izinkinga nezixazululo 1

Isivinini sento A ngemva kokushayisana:

Ukushayisana okunwebeka ngokuphelele ngobukhulu obulodwa - izinkinga nezixazululo 2

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4. Ukuhamba ngesivinini esingamagremu ayi-100 ngesivinini esingama-20 m/s kushaya ukushayisana kodonga okunwebeka ngokuphelele. Kuyini ubukhulu kanye nesiqondiso sejubane lento ngemva kokushayisana.

Kwaziwa:

Isisindo (m A ) = amagremu ayi-100 = 0.1 kg

Isisindo sodonga (m B ) = okungapheli

Isivinini sobunzima ngaphambi kokushayisana (v A ) = 20 m/s

Isivinini sobunzima ngemva kokushayisana (v B ) = 0

Okufunwayo : ubukhulu kanye nesiqondiso sejubane ngemva kokushayisana

Isixazululo:

Uma u-v B = 0, u-m A omncane kakhulu futhi u-m 2 mkhulu kakhulu khona-ke u-v A ' = -v A kanye no-v 2 ' = 0.

Izimpawu zokuhlanganisa kanye nokususa zibonisa ukuthi izinto zihamba ngendlela ehlukile.

5. Amabhola amabili, u-A onesisindo esingu- 2-kg kanye nebhola u-B onesisindo esingu- 5-kg, ngaphambi nangemva kokushayisana aboniswe esithombeni esingezansi. Uma ukushayisana kunwebeka ngokuphelele, lingakanani ijubane lebhola u-A ngaphambi kokushayisana?

Kwaziwa:

Isisindo sebhola A (mA) = 2 kgUkushayisana okunwebeka ngokuphelele - izinkinga nezixazululo 1

Isisindo sebhola B (m B ) = 5 kg

Isivinini sebhola B ngaphambi kokushayisana (v B ) = 2 m/s

Isivinini sebhola A ngemva kokushayisana (v A ') = 5 m/s

Isivinini sebhola B ngemva kokushayisana (v B ') = 4 m/s

Womabili amabhola aya ngakwesokudla ngakho ijubane lawo lisayinwe lihle.

Okufunwayo: Isivinini sebhola A ngaphambi kokushayisana (v A )

Isixazululo:

mA vA +mB vB = mA vA' + mB vB'

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

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6. Izinto A no-B zihamba ngendiza evundlile, njengoba kuboniswe esithombeni esingezansi. Uma ukushayisana kunwebeka ngokuphelele futhi ijubane lento B ngemva kokushayisana lingu- 15 m/s 1 , liyini ijubane lento A ngemva kokushayisana.

Kwaziwa:

Isisindo sento A (mA) = 5 kgUkushayisana okunwebeka ngokuphelele - izinkinga nezixazululo 2

Isisindo sento B (m B ) = 2 kg

Isivinini sento A ngaphambi kokushayisana (v A ) = 12 m/s

Isivinini sento B ngaphambi kokushayisana (v B ) = 10 m/s

Isivinini sento B ngemva kokushayisana (v B ') = 15 m/s

Zombili izinto, ngaphambi nangemva kokushayisana, ziya kwesokudla ukuze ijubane lazo libonakale lihle.

Okufunwayo: Isivinini sento A ngemva kokushayisana (v A ')

Isixazululo:

mA vA +mB vB = mA vA' + mB vB'

(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

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  1. Izinkinga zomugqa wejubane kanye nezixazululo
  2. Izinkinga zejubane kanye nezixazululo zomfutho
  3. Ukushayisana okunwebeka ngokuphelele ezinkingeni nezixazululo zobukhulu obubodwa
  4. Ukushayisana okune-elastic ngokuphelele ezinkingeni nezixazululo zobukhulu obubodwa
  5. Ukushayisana kwe-inelastic ezinkingeni nezixazululo zobukhulu obubodwa

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