An warware matsalolin da ke cikin motsin harsashi - ƙayyade matsakaicin tsayi
1. Ƙwallon ƙafa da aka harba ta bar ƙasa a kusurwa θ = 60 o tare da kwance yana da saurin farko na 10 m/s. Lissafa matsakaicin tsayi! Saurin nauyi shine 10 m/s 2.
An sani:
Kusurwoyi (θ) = 60 o
Saurin farko (v o ) = 10 m/s
Ana so: Matsakaicin tsayi (h)
Magani:
Bangaren tsaye na saurin farko:
zunubi 60 o = v oy / v o
v oy = v o zunubi 60 o = (10)(zunubi 60 o ) = (10)(0.5 √ 3 ) = 5 √ 3 m/s
Zaɓi hanyar sama a matsayin mai kyau, kuma hanyar ƙasa a matsayin mara kyau.
An sani:
Saurin nauyi (g) = -10 m/s 2 (ƙasa ta ƙasa)
Bangaren tsaye na saurin farko (v oy ) = + 5 √ 3 m/s (mai kyau sama)
Gudu na ƙarshe a matsakaicin tsayi (v ty ) = 0
Ana so: Matsakaicin tsayi (h)
Magani:
v t 2 = v o 2 + 2 gh
0 2 = ( 5 √ 3) 2 + 2 (-10) h
0 = 2 5 ( 3) – awanni 20
0 = 75 – 20 hours
75 = awanni 20
h = 75/20
h = mita 3.75
Tsawon mafi girma shine mita 3.75.
[irp]
2. An haska jiki sama a kusurwar 30 o , tsayin ginin da ke kwance mita 20. Saurin farko nasa shine m4/s. A ƙididdige matsakaicin tsayin! Saurin nauyi shine m10/s 2.
An sani:
Kusurwoyi (θ) = 30 o
Tsawon farko (h) = mita 20
Saurin farko (v o ) = 4 m/s
Saurin nauyi (g) = 10 m/s 2
Ana so: Matsakaicin tsayi (h)
Magani:
Bangaren tsaye na saurin farko:
zunubi 30 o = v oy / v o
v oy = v o zunubi 30 o = (4)(zunubi 30 o ) = (4) (0.5) = 2 m/s
Zaɓi hanyar sama a matsayin mai kyau, kuma hanyar ƙasa a matsayin mara kyau.
An sani:
Saurin nauyi (g) = -10 m/s 2 (ƙasa ta ƙasa)
Bangaren tsaye na saurin farko (v oy ) = +2 m/s (mai kyau sama)
Gudu na ƙarshe a matsakaicin tsayi (v ty ) = 0
Ana so: Matsakaicin tsayi
Magani:
Matsakaicin tsayi:
v t 2 = v o 2 + 2 gh
0 2 = 2 2 + 2 (-10) h
0 = 4 – 20 hours
4 = awanni 20
h = 4/20
h = mita 0.2
Tsawonsa mafi girma shine mita 0.2 + mita 20 = mita 20.2.
[irp]
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- Warware saurin farko zuwa sassan kwance da a tsaye
- Ƙayyade ƙaura a kwance
- Ƙayyade matsakaicin tsayi
- Ƙayyade tazarar lokaci
- Ƙayyade matsayin abubuwa
- Ƙayyade saurin ƙarshe
