1. Kwallo mai nauyin gram 200, A, tana tafiya da sauri na m/s 10 ta bugi ƙwallon gram 200, B, a lokacin hutu. Menene saurin ƙwallon A da ƙwallon B bayan karo?
An sani:
Nauyin ƙwallon A (mA ) = gram 200 = 0.2 kg
Nauyin ƙwallon B (m B ) = gram 200 = 0.2 kg
Gudun ƙwallon A kafin karo (v A ) = 10 m/s
Gudun ƙwallon B kafin karo (v B ) = 0
Ana nema: saurin ƙwallon A (v A ') da saurin ƙwallon B (v B ') bayan karo
Magani:
v A ' = v B = 0
v B ' = v A = 10 m/s
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2. Abubuwa biyu masu girman daidai gwargwado sun kusanci juna, suka yi karo sannan suka yi tsalle. Gudun nauyin A kafin karo shine 8 m/s kuma gudun nauyin B kafin karo shine 12 m/s. Menene girma da alkiblar saurin nauyin A da nauyin B bayan karo!
An sani:
Girman A (m A ) = m
Nauyin B (m B ) = m
Gudun nauyin A kafin karo (v A ) = -8 m/s
Gudun nauyin B kafin karo (v B ) = 12 m/s
Alamomin ƙari da raguwa suna nuna cewa abubuwan suna motsawa a akasin alkibla.
Ana so: girma da alkiblar saurin taro A (v A ') da taro B (v B ') bayan karo
Magani:
A cikin karo mai laushi, idan abubuwan da suka yi daidai da nauyi, to saurin A bayan karo (v A ') = saurin B kafin karo (v B ) da kuma saurin B bayan karo (v B ') = gudun A kafin karo (v A ).
Idan kafin karo, A yana tafiya zuwa dama, B kuma yana tafiya zuwa hagu, to, bayan karo, A yana tafiya zuwa hagu, B kuma yana tafiya zuwa dama.
Abubuwan suna da nauyin daidai gwargwado kuma karo yana da cikakkiyar roba don haka duka abubuwan biyu sun yi musayar gudu.
v A ' = -v B = -12 m/s
v B ' = v A = 8 m/s
Alamomin ƙari da raguwa suna nuna cewa abubuwan suna motsawa a akasin alkibla.
[irp]
3. Abu mai nauyin kilogiram 2, A, yana tafiya a gudun mita 10/s zai bugi ƙwallo mai nauyin kilogiram 4, B, yana tafiya a gudun mita 20/s. Idan karo ya yi daidai da na roba, menene saurin abu A da abu B bayan karo?
An sani:
Nauyin A (mA ) = 2 kg
Nauyin B (m B ) = 4 kg
Gudun abu A kafin karo (v A ) = 10 m/s
Gudun abu B kafin karo (v B ) = 20 m/s
Ana so : saurin abu A (v A ') da saurin abu B (v B ') bayan karo
Mafita :
A cikin karo mai laushi , idan abubuwan suna da nauyi iri ɗaya kuma suna kusantar juna, ana ƙididdige saurin abu bayan karo ta amfani da wannan dabarar:
Saurin abu A bayan karo:
[irp]
4. Motsawa mai nauyin gram 100 a gudun mita 20/s zai iya kaiwa ga karo mai laushi a bango. Menene girman da alkiblar gudu da abin ya fuskanta bayan karo.
An sani:
Nauyi (mA ) = gram 100 = 0.1 kg
Nauyin bango (m B ) = rashin iyaka
Saurin nauyi kafin karo (v A ) = 20 m/s
Saurin nauyi bayan karo (v B ) = 0
Ana so : girma da alkiblar gudu bayan karo
Magani:
Idan v B = 0, m A ƙarami ne kuma m 2 babba ne sosai to v A ' = -v A da v 2 ' = 0.
Alamomin ƙari da raguwa suna nuna cewa abubuwan suna motsawa a akasin alkibla.
5. Kwallaye biyu, A mai nauyin kilogiram 2 da ball B mai nauyin kilogiram 5, an nuna su a cikin hoton da ke ƙasa. Idan karo ya yi daidai da roba, menene saurin ball A kafin karo?
An sani:
Yawan ƙwallon A (m)A) = 2 kg
Nauyin ƙwallon B (m B ) = 5 kg
Gudun ƙwallon B kafin karo (v B ) = 2 m/s
Gudun ƙwallon A bayan karo (v A ') = 5 m/s
Gudun ƙwallon B bayan karo (v B ') = 4 m/s
Kwallayen biyu suna tafiya zuwa dama don haka saurinsu ya nuna alamun nasara.
Ana nema: Saurin ƙwallon A kafin karo (v A )
Magani:
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. Abubuwa A da B suna tafiya a kan jirgin sama na kwance, kamar yadda aka nuna a cikin hoton da ke ƙasa. Idan karo yana da cikakkiyar roba kuma saurin abu B bayan karo shine 15 m/s 1 , menene saurin abu A bayan karo.
An sani:
Nauyin abu A (m)A) = 5 kg
Nauyin abu B (m B ) = 2 kg
Gudun abu A kafin karo (v A ) = 12 m/s
Gudun abu B kafin karo (v B ) = 10 m/s
Gudun abu B bayan karo (v B ') = 15 m/s
Duk abubuwa, kafin da kuma bayan karo, suna matsawa zuwa dama don haka saurinsu ya nuna alama mai kyau.
Ana nema: Saurin abu A bayan karo (v A ')
Magani:
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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- Cikakkun matsaloli da mafita masu rikitarwa a cikin girma ɗaya
- Matsaloli da mafita na karo-karo a cikin girma ɗaya
