An warware matsalolin motsi na harsashi - ƙayyade matsakaicin tsayi
1. Kwallon kafa da aka harba ta bar ƙasa a kusurwa θ = 60o tare da kwance yana da saurin farko na m 10/s. Lissafa matsakaicin tsayi! Haɓaka nauyi shine 10 m/s2.
An sani:
Kusurwoyi (θ) = 60o
Saurin farko (v)o) = 10 m/s
Ana so: Tsawon mafi girma (h)
Magani:
Bangaren tsaye na saurin farko:
ba 60o = voy /vo
voy = vo ba 60o = (10)(zunubi 60o) = (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/s2 (mara kyau zuwa ƙasa)
Bangaren tsaye na saurin farko (v)oy) = +5√3 m / s (tabbatacce sama)
Saurin ƙarshe a matsakaicin tsayi (v)ty) = 0
Ana so: Tsawon mafi girma (h)
Magani:
vt2 = vo2 + 2 gh
02 = (5√3)2 + 2 (-10) h
0 = 25(3) – awanni 20
0 = 75 – awanni 20
75 = 20 pm
h = 75/20
h = mita 3.75
Tsawon mafi girma shine mita 3.75.
2. An haska jiki sama a kusurwar 30o tare da kwance daga gini mai tsayin mita 20. Saurin farko shine m4/s. Lissafa matsakaicin tsayi! Saurin nauyi shine m10/s2.
An sani:
Kusurwoyi (θ) = 30o
Tsawon farko (h) = mita 20
Saurin farko (vo) = 4 m/s
Saurin nauyi (g) = 10 m/s2
Ana so: Matsakaicin tsayi (h)
Magani:
Bangaren tsaye na saurin farko:
ba 30o = voy /vo
voy = vo ba 30o = (4)(zunubi 30o) = (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/s2 (mara kyau zuwa ƙasa)
Bangaren tsaye na saurin farko (v)oy) = +2 m / s (tabbatacce sama)
Saurin ƙarshe a matsakaicin tsayi (v)ty) = 0
Ana so: Matsakaicin tsayi
Magani:
Matsakaicin tsayi:
vt2 = vo2 + 2 gh
02 = 22 + 2 (-10) h
0 = 4 – awanni 20
4 = 20 pm
h = 4/20
h = mita 0.2
Tsawonsa mafi girma shine mita 0.2 + mita 20 = mita 20.2.
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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
