1. Mpira wa magalamu 200, A, womwe ukuyenda pa liwiro la 10 m/s, umagunda mpira wa magalamu 200, B, pamene ukupuma. Kodi liwiro la mpira A ndi mpira B ndi lotani pambuyo pa kugundana?
Zodziwika:
Kulemera kwa mpira A (m A ) = magalamu 200 = 0.2 kg
Kulemera kwa mpira B (m B ) = magalamu 200 = 0.2 kg
Liwiro la mpira A musanagunde (v A ) = 10 m/s
Liwiro la mpira B musanagunde (v B ) = 0
Kufunidwa: liwiro la mpira A (v A ') ndi liwiro la mpira B (v B ') pambuyo pa kugundana
Yankho:
v A ' = v B = 0
v B ' = v A = 10 m/s
[irp]
2. Zinthu ziwiri zofanana zimayandikirana, zimagundana kenako zimadumphadumpha. Liwiro la kulemera kwa A musanagundane ndi 8 m/s ndipo liwiro la kulemera kwa B musanagundane ndi 12 m/s. Kodi kukula ndi njira ya liwiro la kulemera kwa A ndi kulemera kwa B pambuyo pa kugundana ndi kotani?
Zodziwika:
Uzito A (m A ) = m
Uzito B (m B ) = m
Liwiro la kulemera A musanagunde (v A ) = -8 m/s
Liwiro la kulemera kwa B musanagunde (v B ) = 12 m/s
Zizindikiro za kuphatikiza ndi kuchotsera zimasonyeza kuti zinthuzo zimayenda mosiyana.
Kufunidwa: kukula ndi malangizo a liwiro la kulemera A (v A ') ndi kulemera B (v B ') pambuyo pa kugundana
Yankho:
Mu kugundana kosalala bwino, ngati zinthu zofanana ndi kulemera, ndiye kuti liwiro la A pambuyo pa kugundana (v A ') = liwiro la B isanafike kugundana (v B ) ndi liwiro la B pambuyo pa kugundana (v B ') = liwiro la A isanafike kugundana (v A ).
Ngati A isanagunde, ipita kumanja ndipo B ipita kumanzere, ndiye kuti, ikagunda, A ipita kumanzere ndipo B ipita kumanja.
Zinthuzo zili ndi kulemera kofanana ndipo kugundana kwake kumakhala kosalala bwino kotero zinthu zonse ziwiri zimasinthasintha liwiro.
v A ' = -v B = -12 m/s
v B ' = v A = 8 m/s
Zizindikiro za kuphatikiza ndi kuchotsera zimasonyeza kuti zinthuzo zimayenda mosiyana.
[irp]
3. Chinthu cha 2-kg, A, chomwe chikuyenda pa liwiro la 10 m/s chikugunda mpira wa 4-kg, B, chikuyenda pa liwiro la 20 m/s. Ngati kugundana kuli kotambasuka bwino, kodi liwiro la chinthu A ndi chinthu B ndi lotani pambuyo pa kugundana?
Zodziwika:
Kulemera A (m A ) = 2 kg
Kulemera B (m B ) = 4 kg
Liwiro la chinthu A musanagunde (v A ) = 10 m/s
Liwiro la chinthu B musanagunde (v B ) = 20 m/s
Kufunidwa : liwiro la chinthu A (v A ') ndi liwiro la chinthu B (v B ') pambuyo pa kugundana
Yankho :
Mu kugundana kosalala bwino , ngati zinthuzo zili ndi kulemera kofanana ndipo zikuyandikirana, liwiro la chinthucho pambuyo pa kugundana limawerengedwa pogwiritsa ntchito njira iyi:
Liwiro la chinthu A pambuyo pa kugundana:
[irp]
4. Kuyenda kwa magalamu 100 pa liwiro la 20 m/s kumagunda khoma lomwe limagundana bwino kwambiri. Kodi kukula ndi komwe limayenda ndi liwiro la chinthu pambuyo pa kugundana ndi chiyani?
Zodziwika:
Kulemera (m A ) = magalamu 100 = 0.1 kg
Kulemera kwa khoma (m B ) = kosatha
Liwiro la kulemera musanagunde (v A ) = 20 m/s
Liwiro la kulemera pambuyo pa kugundana (v B ) = 0
Kufunidwa : kukula ndi komwe liwiro la kugundana likupita
Yankho:
Ngati v B = 0, m A yaying'ono kwambiri ndipo m 2 yayikulu kwambiri ndiye v A ' = -v A ndi v 2 ' = 0.
Zizindikiro za kuphatikiza ndi kuchotsera zimasonyeza kuti zinthuzo zimayenda mosiyana.
5. Mipira iwiri, A yokhala ndi kulemera kwa 2-kg ndi mpira B yokhala ndi kulemera kwa 5-kg, isanayambe komanso itatha kugundana ikuwonetsedwa pachithunzi chili pansipa. Ngati kugundanako kuli kotambasuka bwino, kodi liwiro la mpira A limakhala lotani isanafike kugundana?
Zodziwika:
Unyinji wa mpira A (mA) = 2 kg
Kulemera kwa mpira B (m B ) = 5 kg
Liwiro la mpira B musanagunde (v B ) = 2 m/s
Liwiro la mpira A pambuyo pa kugundana (v A ') = 5 m/s
Liwiro la mpira B pambuyo pa kugundana (v B ') = 4 m/s
Mipira yonse ikupita kumanja kotero liwiro lawo lasainidwa kuti ndi labwino.
Kufunidwa: Liwiro la mpira A musanagunde (v A )
Yankho:
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
[irp]
6. Zinthu A ndi B zimayenda mopingasa, monga momwe chithunzi chili pansipa chikusonyezera. Ngati kugundana kuli kosalala bwino ndipo liwiro la chinthu B pambuyo pa kugundana ndi 15 m/s 1 , kodi liwiro la chinthu A pambuyo pa kugundana ndi lotani?
Zodziwika:
Unyinji wa chinthu A (mA) = 5 kg
Kulemera kwa chinthu B (m B ) = 2 kg
Liwiro la chinthu A musanagunde (v A ) = 12 m/s
Liwiro la chinthu B musanagunde (v B ) = 10 m/s
Liwiro la chinthu B pambuyo pa kugundana (v B ') = 15 m/s
Zinthu zonse ziwiri, zisanachitike komanso zitachitika, zimapita kumanja kotero kuti liwiro lawo likhala ndi chizindikiro chabwino.
Kufunidwa: Liwiro la chinthu A pambuyo pa kugundana (v A ')
Yankho:
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
[wpdm_package id='1156′]
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