Misalai 3 na tambayoyin motsi na tsaye zuwa ƙasa
1. Ana jefa ƙwallon a tsaye ƙasa daga ginin bene mai hawa da yawa tare da saurin farko na m10/s kuma ya isa ƙasa bayan daƙiƙa 2. Menene saurin ƙwallon lokacin da ya bugi ƙasa? g = m10/s2
Tattaunawa
An san cewa:
vo = 10m/s
t = daƙiƙa 2
g = 10 m/s2
An tambaya:
Saurin ƙarshe (v)t)?
Amsa:
Ba tare da dabara ba
Kwallan yana fara motsawa da gudun m10/s kuma yayin da yake motsa ƙwallon yana fuskantar saurin nauyi na m10/s2Wannan yana nufin saurin ƙwallon yana ƙaruwa da m10/s a kowace daƙiƙa. Bayan daƙiƙa 3, saurin ƙwallon yana ƙaruwa da m30/s.
Saurin ƙarshe na ƙwallon = saurin farko + ƙaruwa a cikin gudu = 10 m/s + 30 m/s = 40 m/s.
Amfani da dabarar
Tsarin GLBB :
vt = vo + a
h = vo t + ½ a2
vt2 = vo2 + 2 ah
A cikin motsi na tsaye zuwa ƙasa, abu yana da saurin farko (v)o). Tsarin GLBB da ke sama an daidaita shi da manufar motsi na tsaye zuwa ƙasa kuma an canza shi zuwa dabarar motsi na tsaye zuwa ƙasa.
Tsarin Motsi Mai Tsaye na Ƙasa :
An san cewa vo, g da t, sun tambayi vt, saboda haka yi amfani da dabarar farko.
2. An jefa dutse a cikin rijiya mai saurin farko na mita 5/s kuma ya bugi saman ruwan rijiyar bayan daƙiƙa 2. Yaya zurfin rijiyar yake?
Tattaunawa
An san cewa:
vo = 5m/s
t = daƙiƙa 2
g = 10 m/s2
An tambaya:
Zurfin rijiya (h)?
Amsa:
An san cewa vo, t da g, sun nemi h, don haka yi amfani da dabara ta biyu.
3. Daga ginin da tsayinsa ya kai mita 80, ana jefa fakitin a tsaye ƙasa da gudun mita 10/s. A ƙayyade (a) tazarar lokacin da fakitin zai isa ƙasa (b) Saurin fakitin lokacin da ya faɗi ƙasa
Tattaunawa
An san cewa:
h = mita 80
vo = 10m/s
g = 10 m/s2
An tambaya:
(a) Tazarar lokaci (t)?
(b) Saurin ƙarshe (v)t)?
Amsa:
(a) Tazarar lokaci (t)?
Da aka ba da h, vo da g, idan aka ba da t, don haka yi amfani da dabara ta uku don tantance saurin ƙarshe (vt), sannan a yi amfani da dabara ta farko don tantance tazara tsakanin lokaci (t).
Catatan :
Tunda an san h, vo da kuma g, an tambayi t saboda haka za mu iya amfani da dabara ta biyu kai tsaye don tantance tazara ta lokaci (t). Maganin ƙarshe don tantance t yana amfani da dabarar ABC
(b) Saurin ƙarshe (v)t)?
vt = 41m/s
[Turanci: Saurin sauka a cikin faɗuwar 'yanci - matsaloli da mafita ]
