Motsin Parabolic ko kuma motsi mai motsi wani nau'in motsi ne wanda da farko ana ba wa abu saurin farko sannan kuma motsin abu gaba ɗaya yana tasiri ga ƙarfin nauyi. Motsin mai motsi motsi ne mai girma biyu, haɗin motsi a cikin kwatancen kwance da tsaye, sabanin motsi kai tsaye ko motsi na faɗuwa kyauta wanda shine motsi mai girma ɗaya.
Galileo ya bayyana cewa ana iya fahimtar motsin parabolic ta hanyar la'akari da sassan motsi na tsaye da kwance daban-daban. Hanzarin nauyi yana aiki ne kawai a tsaye; ba ya aiki a kwance. Saboda haka, ana ɗaukar ɓangaren kwance na motsi na harsashi kamar haka: motsi na layi ɗaya kuma ana kallon ɓangaren tsaye na motsi na parabolic a matsayin motsi na faɗuwa kyauta.
Misalin matsalolin
1. Tambayoyin Jarrabawar Ƙasa ta 2018
Jirgin sama da ke shawagi a kwance a gudun mita 300 a tsayin mita 80 ya jefa bam (g = 10 m/s)2Bam ɗin ya bugi abin da aka nufa a nesa da …… mita.
Tattaunawa
An sani:
Saurin farko (v)o) = 300 m/s
Tsawo (h) = mita 80
Saurin gudu saboda nauyi (g) = 10 m/s2
An tambaya: Nisa a kwance (x)
Amsa:
Hanyar motsi ta parabolic kamar yadda aka nuna a hoton, ana nazarin motsi a tsaye kamar haka motsi na faɗuwa kyauta kuma ana nazarin motsi a cikin alkiblar kwance kamar yadda motsi na layi ɗaya.
Ana ƙididdige nisan kwance ta amfani da dabarar motsi mai layi ɗaya.
x = vt
Bayani: x = nisan kwance, v = gudu a cikin alkiblar kwance, t = tazara lokaci
A cikin motsi madaidaiciya iri ɗaya, saurin abu yana da daidaito ta yadda gudun da ke cikin alkiblar kwance = ɓangaren saurin farko a cikin alkiblar kwance = saurin farko = 300 m/s.
Ana ƙididdige tazarar lokaci (t) ta amfani da dabarar motsi na faɗuwa kyauta, ta hanyar nazarin motsi a tsaye.
h = ½ gt2
80 = ½ (10) t2
80 = 5t2
80/5 = t2
16 = t2
t = √16
t = daƙiƙa 4
Nisa a kwance:
x = vt = (300)(4) = mita 1200
2. Tambayoyin Jarrabawar Ƙasa ta 2017
Ana jefa ƙwallo a kusurwar tsayin 30o yana bin hanyar parabolic kamar yadda aka nuna a hoton. Saurin saurin da aka samu sakamakon nauyi shine 10 ms-2, to rabon gudu a maki A, B, da C shine…
Tattaunawa
Gudun ƙwallon ya ƙunshi saurin alkiblar tsaye (v)y) da kuma saurin kwance (vx).
Ƙidaya vox :
vox = vo kowa 30o = cos 60 30 = 60 (0,5.3) = 30.3 m / s
voy = vo ba 30o = 60 zunubi 30 = 60 (0,5) = 30 m/s
Lissafa saurin tsaye a maki A, B da C.
Gudun tsaye a wuri A:
vty = voy – gt = 30 – 10(1) = 30 – 10 = 20 m/s
Gudun tsaye a wuri na B:
vty = voy – gt = 30 – 10(2) = 30 – 20 = 10 m/s
Gudun tsaye a wuri C:
vty = voy – gt = 30 – 10(3) = 30 – 30 = 0 m/s
