1. Harsashi mai nauyin gram 30 yana tafiya a gudun mita 30/s ya yi karo da toshe mai nauyin kilogiram 1 a lokacin hutu. Kayyade saurin toshe idan harsashin da toshen sun hadu sakamakon karo.
An sani:
Nauyin harsashi (m 1 ) = gram 30 = 0.03 kg
Nauyin tubali (m 2 ) = 1 kg
Saurin farko na harsashi ( v 1 ) = 30 m/s
saurin toshewa na farko (v 2 ) = 0 ( toshewa a lokacin hutawa )
Ana nema : saurin harsashi da toshewa bayan karo (v')
Magani:
m 1 v 1 + m 2 v 2 = (m 1 + m 2 ) v'
(0.03) (30) + (1) (0) = (0.03 + 1) v'
0.9 + 0 = 1.03 v'
0.9 = 1,03 v'
v' = 0.9/1,03
v' = 0.87 m/s
[irp]
2. Kwallon Billiard A na nauyi 2 kg yana motsawa tare da gudu v A = 6 ms −1 ya yi karo da ball B na nauyi daidai. Idan karo ba shi da cikakkiyar sassauci, menene saurin ball ɗin biyu bayan karo.
An sani:
Nauyin A (mA ) = 2 kg
Nauyin B (m B ) = 2 kg
Saurin farko na ƙwallon A (v A ) = -6 m/s
Saurin farko na ƙwallon B (v B ) = 4 m/s
Alamomin ƙari da raguwa suna nuna cewa abubuwan suna motsawa a akasin alkibla.
Ana so : saurin ƙwallo biyu bayan karo. (v')
Magani:
m A v A + m B v B = (m A ' + m B ) v'
(2) (-6) + (2) (4) = (2 + 2) v'
-12 + 8 = 4 v'
-4 = 4 v'
v' = -4 / 4
v' = -1 m/s
[irp]
3. m1 = 3kg da kuma m2 = 4kg kusanci juna a akasin alkibla tare da saurin v1 = 10m/s da kuma v2 = 12 m/s. Idan karo ba shi da cikakkiyar sassauci, menene saurin ƙwallo biyu bayan karo.
An sani:
Nauyin abu 1 (m 1 ) = 3 kg
Nauyin abu 2 (m 2 ) = 4 kg
Gudun abu 1 (v 1 ) = -10 m/s
Gudun abu na 2 (v 2 ) = 12 m/s
Ana so : gudun bayan karo (v')
Magani:
m 1 v 1 + m 2 v 2 = (m 1 ' + m 2 ) v'
(3) (-10) + (4) (12) = (3 + 4) v'
-30 + 48 = 7 v'
18 = 7 v'
v' = 18/7
v' = 2.6 m/s
[wpdm_package id='1157′]
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