Misali na karo mai laushi daidai

Misalai 8 na karo mai laushi

1. Ball A da Ball B, kowannensu yana da nauyin gram 200, sun yi karo da juna cikin tsari mai laushi. Idan kafin karo, ball A yana motsi da gudun m 10/s kuma ball B yana hutawa, to saurin ball A da ball B bayan karo shine...

Tattaunawa
An sani :
Nauyin ƙwallon A (m)_A) = 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
An tambaya : saurin ƙwallon A (v)_A') da ƙwallon B (v)_B') bayan hatsarin
Jawab :

Kunnawa karo mai laushi daidai, idan kafin karo abu B har yanzu yana nan (v_B = 0) to bayan karo abu A har yanzu yana nan (v_A' = 0) kuma abu B yana motsawa tare da gudu wanda yayi daidai da saurin abu A kafin karo (v)_B' = v_A).
v_A' = v_B = 0
v_B' = v_A = 10m/s

2. Marmara A da B suna da nauyi iri ɗaya, suna motsawa zuwa ga juna kuma suna karo da juna ta hanyar roba. Kafin karo, marmara A tana tafiya da sauri na 8 m/s, yayin da marmara B ke tafiya da sauri na 12 m/s. Girma da alkiblar saurin marmara A da B bayan karo sune…

Tattaunawa
An sani :
Nauyin marmara A (m)_A) = m
Nauyin marmara B (m)_B) = m
Gudun marmara A kafin karo (v)_A) = -8 m/s
Gudun marmara B kafin karo (v)_B) = 12 m/s
Gudun duwatsun biyu an yi musu alama mai kyau da mara kyau, wanda ke nuna cewa alkiblar motsi ko alkiblar saurin abubuwa biyu akasin haka ne.
An tambaya : girma da alkiblar saurin marmara A (v_A') da marmara B (v)_B') bayan hatsarin
Jawab :
A cikin karo mai laushi, idan tarin abubuwan biyu da suka haɗu iri ɗaya ne, to saurin abu A bayan karo (v)_A') = saurin abu B kafin karo (v)_B) da kuma saurin abu B bayan karo (v_B') = saurin abu A kafin karo (v)_A).
Yaya batun alkiblar motsi ko alkiblar saurin abubuwan? Idan kafin karo abu A ya koma dama kuma abu B ya koma hagu, to bayan karo abu A ya koma hagu (v)_A' = – v_B) kuma abu B yana motsawa zuwa dama (v_B' = v_A).

Dukansu duwatsun suna da nauyi iri ɗaya kuma suna karo daidai da roba don haka duwatsun biyu suna musayar gudu.
v_A' = -v_B = -12 m/s
v_B' = v_A = 8m/s
Alamun da suka dace da marasa kyau sun nuna cewa bayan karo, alkiblar saurin marmara A ta saba wa alkiblar saurin marmara B.

3. Abu A mai nauyin kilogiram 2 da abu B mai nauyin kilogiram 4 suna tafiya zuwa ga juna, inda saurin abu A shine m/s 10 kuma gudun abu B shine m/s 20. Idan abubuwa biyu suka yi karo da juna cikin tsari mai laushi, to saurin abu A da abu B bayan karo shine…
Tattaunawa
An sani :
Nauyin abu A (m)_A) = 2 kg
Nauyin abu 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
An tambaya : saurin abu A (v)_A') da abu B (v)_B') bayan hatsarin
Jawab :
Idan abubuwan da suka yi karo da juna ta hanyar roba suna da nau'i daban-daban kuma abubuwa biyu suna tafiya zuwa ga juna a wani takamaiman gudu, to ana ƙididdige saurin abubuwa biyu bayan karo ta amfani da wannan lissafi:
Gudun abu A bayan karo shine:

Bayan sun yi karo, abubuwa biyu suna motsawa daga juna.

4. Wani abu mai nauyin gram 100 yana tafiya a gudun mita 20/s ya yi karo da bango cikin tsari mai laushi. Girma da alkiblar saurin abin bayan karo sune...
Tattaunawa
An sani :
Nauyin abu (m)_A) = gram 100 = 0,1 kg
Girman bango (m)_B) = marar iyaka (an ɗauki bangon a matsayin yana da nauyi mara iyaka)
Saurin abin kafin karo (v)_A) = 20 m/s
Gudun bangon kafin karo (v)_B) = 0
An tambaya : girma da alkiblar saurin abin bayan karo
Jawab :
Idan v_B = 0, m_A ƙanƙanta sosai kuma m₂ yana da girma sosai, to ta hanyar warware lissafin da ke sama za mu sami v_A' = -v_A kuma v₂' = 0. Alamomi masu kyau da marasa kyau suna nuna akasin alkiblar motsi na abu.

Don haka girman gudun abin bayan karo (v _A ') shine -20 m/s kuma girman gudun bango bayan karo shine 0. Alkiblar saurin abin bayan karo yana akasin alkiblar saurin abin kafin karo. Idan kafin karo abu ya koma dama to bayan karo abu ya koma hagu ko kuma kafin karo abu ya koma hagu to bayan karo abu ya koma dama.

5. Abu A da abu B suna tafiya zuwa ga juna. Idan m_A = m_B a_A = 4 m/s, v_B = 3 m/s kuma ƙasan yana zamewa, menene saurin A da B bayan karo mai laushi?
A. 3 m/s a hagu da kuma 4 m/s a dama
B. 3 m/s a dama da kuma 4 m/s a dama
C. 3 m/s a hagu da kuma 4 m/s a hagu
D. 3 m/s a hagu da 3 m/s a dama
E. 4 m/s a hagu da 4 m/s a dama
Tattaunawa:
An sani :
v_A = 4 m/s, v_B = 3m/s
An tambaya :
v_A'da kuma v_B'?
Jawab :
Kunnawa karo mai laushi daidaiIdan nauyin dukkan abubuwa biyu iri ɗaya ne, to idan suka yi karo, sai abubuwa biyu su yi musayar gudu.
v_A' = 3 m/s da v_B' = 4 m/s
Idan kafin karo, abu A yana motsawa zuwa hagu, sannan bayan karo, abu A yana motsawa zuwa dama. Haka nan, idan kafin karo, abu B yana motsawa zuwa dama, to bayan karo, abu B yana motsawa zuwa hagu. Kafin karo da kuma bayan karo, abu biyu suna motsawa a akasin haka.
Amsar da ta dace ita ce A.

6. m_A = 2 kg da m_B = 1 kg yana motsawa zuwa ga juna a gudun v_A = 2 m/s da v_B = 3 m/s. Dukansu sun yi karo daidai da roba. Menene saurin ƙwallon A nan da nan bayan karo?
A. 1/2 m/s
B. 2/3 m/s
C. 1 m/s
D. 3/2 m/s
E. 2 m/s
Tattaunawa:
An sani :
m_A = 2 kg, m_B = 1 kg, v_A = 2 m/s, v_B = 3m/s
An tambaya :
v_A'?
Jawab :

Idan abubuwan suna da alaƙa da juna karo mai laushi daidai suna da nau'i daban-daban, don haka abubuwa biyu ba sa musayar gudu da juna.
Ana ƙididdige saurin kowane abu bayan karo ta amfani da dabarar:

Amsar da ta dace ita ce B.

7. Kwallo A tana tafiya a layi madaidaiciya a daidai gwargwado zuwa dama tare da saurin farko na 1 m/s da kuma saurin gudu na 1 m/s.²Bayan an yi motsi na daƙiƙa 2, ƙwallon A ta yi karo da ƙwallon B da ba ta tsayawa. Idan karo ya yi daidai kuma yawan ƙwallon biyu iri ɗaya ne, to saurin ƙwallon A da B bayan karo shine...
A. v_A` = 0 da v<sub>B</sub>` = 3 m/s
B. v_A` = 2 m/s da v<sub>B</sub>` = 3 m/s
C. v_A` = 3 m/s da v<sub>B</sub>` = 0 m/s
D. v_A` = 3 m/s da v<sub>B</sub>` = 2 m/s
E. v_A` = 4 m/s da v<sub>B</sub>` = 2 m/s
Tattaunawa:
An sani :
Bayanan motsin ƙwallon A:
v_o = 1 m/s, a = 1 m/s², t = daƙiƙa 2, v_t = ?
Bayanan karo:
v_A =?, v_B = 0, m_A = m_B
An tambaya :
v_A'da kuma v_B'
Jawab :
Gudun ƙwallon A jim kaɗan kafin karo (v)_A):
v_t = v_o + a = 1 + (1)(2) = 1 + 2 = 3 m/s
Don haka v_A = 3m/s
Nauyin kwallayen biyu iri ɗaya ne don haka kwallayen biyu suna musayar gudu da juna.
v_A' = 0 da v_B' = 3 m/s
Kafin karo, ball A yana motsawa zuwa dama, bayan karo, ball A yana nan. Kafin karo, ball B yana nan, bayan karo, ball B yana tafiya zuwa dama.

Amsar da ta dace ita ce A.

8. Idan duwatsu biyu masu kama da juna suka yi karo da juna a kan hanya madaidaiciya suka yi karo, ɗaya daga cikin duwatsun zai fitar da wani ɓangare na makamashinsa, ɗayan kuma zai sami irin ƙarfin.

Domin kuwa

Dokar kiyaye makamashi tana tabbatar da cewa jimlar kuzarin motsi na marmara biyu ba ta canzawa ba.

Tattaunawa

Maganar da ke sama gaskiya ne idan nau'in karo ya yi daidai da na roba.

Tushen tambaya:

Tambayoyin Nazarin Fizik na Ƙasa ga Makarantar Sakandare ta Babbar Sakandare/Makarantar Sakandare ta Sana'a

Tambayoyin Kimiyyar Kimiyyar SBMPTN