Motsin Parabolic ko motsi mai motsi wani nau'in motsi ne da ake ba wa abu saurin farko da farko sannan motsinsa ya yi tasiri gaba ɗaya ta hanyar ƙarfin nauyi. Motsin Projectile motsi ne mai girma biyu, haɗuwar motsi a kwance da tsaye, ba kamar motsi madaidaiciya ko faɗuwa kyauta ba, 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 a kwance ba. Saboda haka, ana kallon ɓangaren kwance na motsi na harsashi a matsayin motsi na layi ɗaya , kuma ana kallon ɓangaren tsaye na motsi na parabolic a matsayin faɗuwa kyauta.
Misalin matsalolin
1. Tambayoyin Jarrabawar Ƙasa ta 2018
Jirgin sama yana shawagi a kwance a gudun mita 300 a tsayin mita 80 yana jefa bam (g = 10 m/s 2 ). Bam ɗin ya bugi abin da aka nufa a nesa na …… mita.
Tattaunawa
An sani:
Saurin farko (v o ) = 300 m/s
Tsawo (h) = mita 80
Saurin gudu saboda nauyi (g) = 10 m/s 2
An tambaya: Nisa a kwance (x)
Amsa:
Hanyar motsi mai kama da juna kamar yadda aka nuna a hoton, ana nazarin motsi a tsaye kamar motsi na faɗuwa kyauta kuma ana nazarin motsi a kwance kamar motsi madaidaiciya iri 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 gt 2
80 = ½ (10) t 2
80 = 5 t 2
80/5 = t 2
16 = t 2
t = √16
t = daƙiƙa 4
Nisa a kwance:
x = vt = (300)(4) = mita 1200
2. Tambayoyin Jarrabawar Ƙasa ta 2017
Kwallo da aka jefa a kusurwar tsayin digiri 30 yana bin hanyar parabolic kamar yadda aka nuna a cikin hoton. Hanzarin da aka samu sakamakon nauyi shine 10 m/s -2 , don haka rabon saurin a maki A, B, da C shine...
Tattaunawa
Gudun ƙwallon ya ƙunshi saurin shugabanci na tsaye (v y ) da kuma saurin shugabanci na kwance (v x ).
Lissafi v ox :
v ox = v o cos 30 o = 60 cos 30 = 60 ( 0,5 √3 ) = 30 √3 m/s
v oy = v o zunubi 30 o = 60 zunubi 30 = 60 (0,5) = 30 m/s
Lissafa saurin tsaye a maki A, B da C.
Gudun tsaye a wuri A:
v ty = v oy – gt = 30 – 10(1) = 30 – 10 = 20 m/s
Gudun tsaye a wuri na B:
v ty = v oy – gt = 30 – 10(2) = 30 – 20 = 10 m/s
Gudun tsaye a wuri C:
v ty = v oy – gt = 30 – 10(3) = 30 – 30 = 0 m/s
