Isibonelo sombuzo wokuthola isivinini sokugcina sokunyakaza okufana nokwe-parabolic

3 Izibonelo zemibuzo mayelana nokunquma isivinini sokugcina sokunyakaza okufana nokwe-parabolic

1. Ibhola likhahlelwa phezulu nge-engeli engama-30^o ngokumelene nobuso bensimu ngesivinini sokuqala esingu-14 m/s. Kungakanani isivinini ukuphela kwebhola uma lifika ebusweni benkundla? Ukusheshisa kwamandla adonsela phansi = 10m/s²
Ingxoxo
Kuyaziwa ukuthi:
I-engeli (θ) = 30^o
Ijubane lokuqala (v)_o) = 14 m/s
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe: Isivinini sokugcina sebhola uma lifika ebusweni benkundla
Impendulo:
Indlela ibhola elihamba ngayo injengoba kuboniswe esithombeni.
Ingxenye evundlile yejubane lokuqala lebhola:
v_ox =v_o cos θ = (14 m/s)(cos 30^o) = (14 m/s)(0,5√3) = 7√3 m/s
Ingxenye eqondile yejubane lokuqala lebhola:
v_oy =v_o isono θ = (14 m/s)(isono 30^o) = (14 m/s)(0,5) = 7 m/s

Ukunyakaza ohlangothini oluvundlile kuhlaziywa njengoba ukunyakaza okuqondile okufanayo, kuyilapho ukunyakaza ohlangothini oluqondile kuhlaziywa njengoba ukunyakaza okuqonde phezulu.

Ijubane lokugcina lebhola ohlangothini oluqondile
Ngemva kokukhuphukela phezulu, ibhola lihlehla phansi. Ijubane lokugcina lebhola uma lifika phansi libalwa kusetshenziswa ifomula yokunyakaza okuqonde phezulu.
Ekuxazululeni inkinga yokunyakaza okuqonde phezulu, ubuningi bevektha Ivektha ebheke phezulu inikezwa uphawu oluhle, ivektha ebheke phansi inikezwa uphawu olubi.
Kuyaziwa ukuthi:
Ijubane lokuqala (v)_o) = 7 m/s (kuhle ngoba isiqondiso sejubane siphezulu)
Ukusheshisa ngenxa yamandla adonsela phansi (g) = -10 m/s² (okubi ngoba isiqondiso sokusheshisa kwamandla adonsela phansi siphansi)
Ukuphakama (h) = 0 (ibhola libuyela endaweni yalo yokuqala ngakho ushintsho lokuphakama luyi-zero)
Kubuziwe: Ijubane lokugcina lebhola (v)_t)
Impendulo:
Kuyaziwa ukuthi v_o, g, h bese kubuzwa u-v_t ngakho-ke ifomula yokunyakaza okuqonde phezulu esetshenzisiwe ithi v_t² =v_o² + 2 gh

v_t² =v_o² + 2 gh = 72 + 2(-10)(0) = 49 – 0 = 49
v_t = √49 = 7 m/s
Kungaphethwa ngokuthi ijubane lokuqala lebhola uma likhuphukela phezulu lifana nejubane lokugcina lebhola uma lifika ebusweni benkundla.

Ijubane lokugcina lebhola ohlangothini oluvundlile
Ijubane lokuqala elivundlile lingu-7√3 m/s. Ekuhambeni okulinganayo okuqondile, ijubane aliguquguquki, ngakho ijubane lokuqala lilingana nejubane lokugcina. Ngakho-ke, ijubane lokugcina elivundlile lebhola lingu-7√3 m/s.

Isivinini sokugcina sebhola uma lifika ebusweni benkundla
Ijubane lokugcina lebhola liyinhlanganisela yejubane lokugcina ohlangothini oluvundlile kanye nejubane lokugcina ohlangothini oluqondile.

Uma indlela yokunyakaza ifana neyomfanekiso njengoba kusesithombeni esingenhla, khona-ke ijubane lokuqala lifana nejubane lokugcina.

2. Inhlamvu idutshulwe phezulu nge-engeli engu-30°^o ngokuvundlile ukusuka endaweni engamamitha ama-5 ngaphezu komhlabathi. Ijubane lokuqala lenhlamvu lingu-10 m/s. Liyini ijubane lokugcina lenhlamvu uma ifika phansi? Ukusheshisa okubangelwa amandla adonsela phansi kungu-10 m/s²
Ingxoxo
Kuyaziwa ukuthi:
I-engeli (θ) = 30^o
Ukuphakama kokuqala (h)_o) = 5 amamitha
Ijubane lokuqala (v)_o) = 10 m/s
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe: Ijubane lokugcina lenhlamvu uma ifika phansi
Impendulo:
Ingxenye evundlile yejubane lokuqala lebhola:
v_ox =v_o cos θ = (10 m/s)(cos 30^o) = (10 m/s)(0,5√3) = 5√3 m/s
Ingxenye eqondile yejubane lokuqala lebhola:
v_oy =v_o isono θ = (10 m/s)(isono 30^o) = (10 m/s)(0,5) = 5 m/s

Ukunyakaza ohlangothini oluvundlile kuhlaziywa njengoba ukunyakaza okuqondile okufanayo, kuyilapho ukunyakaza ohlangothini oluqondile kuhlaziywa njengoba ukunyakaza okuqonde phezulu.

Ijubane lokugcina lenhlamvu ohlangothini oluqondile
Kuyaziwa ukuthi:
Ijubane lokuqala (v)_o) = 5 m/s (kuhle ngoba isiqondiso sejubane siphezulu)
Ukusheshisa ngenxa yamandla adonsela phansi (g) = -10 m/s² (okubi ngoba isiqondiso sokusheshisa kwamandla adonsela phansi siphansi)
Ukuphakama (h) = -5 m (okubi ngoba ubuso bomhlaba bungaphansi kokuphakama kokuqala)
Kubuziwe: Ijubane lokugcina lebhola (v)_t)
Impendulo:
Kuyaziwa ukuthi v_o, g, h bese kubuzwa u-v_t ngakho-ke ifomula yokunyakaza okuqonde phezulu esetshenzisiwe ithi v_t² =v_o² + 2 gh

v_t² =v_o² + 2 gh = 5² + 2(-10)(-5) = 25 + 100 = 125
v_t = √125 m/s

Ijubane lokugcina lenhlamvu ohlangothini oluvundlile
Ijubane lokuqala elivundlile lingu-5√3 m/s. Ekuhambeni okulinganayo okuqondile, ijubane lihlala linjalo, ngakho ijubane lokuqala lilingana nejubane lokugcina. Ngakho-ke, ijubane lokugcina elivundlile lenhlamvu lingu-5√3 m/s.

Ijubane lokugcina lenhlamvu uma ifika phansi
Ijubane lokugcina lenhlamvu liyinhlanganisela yejubane lokugcina ohlangothini oluvundlile kanye nejubane lokugcina ohlangothini oluqondile.

3. Imabula iphonswa ngokuvundlile ngakwesokudla isuka ekuphakameni kwamamitha ayi-12 ngesivinini sokuqala esingu-8 m/s. Iyini ijubane lokugcina lemabula uma ifika phansi? Ukusheshisa ngenxa yamandla adonsela phansi = 10 m/s²
Ingxoxo
Kuyaziwa ukuthi:
Ukuphakama (h) = amamitha ayi-12
Ijubane lokuqala (v)_o) = 8 m/s
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Kubuziwe: Ijubane lokugcina (v)_t) amamabula lapho eshaya phansi
Impendulo:
Indlela yemabula injengoba kuboniswe esithombeni.
Ijubane lokuqala lebhola ohlangothini oluvundlile:
v_ox =v_o = 8m/s
Ijubane lokuqala lebhola ohlangothini oluqondile:
v_oy = 0m/s

Ukunyakaza ohlangothini oluvundlile kuhlaziywa njengoba ukunyakaza okuqondile okufanayo, kuyilapho ukunyakaza ohlangothini oluqondile kuhlaziywa njengoba ukunyakaza kokuwa kwamahhala.

Ijubane lokugcina lemabula ohlangothini oluqondile
Ijubane lokugcina libalwa kusetshenziswa ifomula yokuwa kwamahhala.
Kuyaziwa ukuthi:
Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²
Ukuphakama (h) = 12 m
Kubuziwe: Ijubane lokugcina (v)_t)
Impendulo:
Njengoba kunikezwe u-g, u-h kanye no-asked vt ngakho-ke ifomula yokunyakaza kokuwa kwamahhala esetshenzisiwe ingu-v_t² = 2 gh
v_t² = 2 gh = 2(10)(12) = 240
v_t = √240 m/s

Ijubane lokugcina lemabula ohlangothini oluvundlile
Ijubane lokuqala elivundlile lingu-8 m/s. Ekuhambeni okuqondile okufanayo, ijubane lihlala linjalo, ngakho ijubane lokuqala lilingana nejubane lokugcina. Ngakho-ke, ijubane lokugcina elivundlile lemabula lingu-8 m/s.

Ijubane lokugcina lemabula uma lifika ebusweni bomhlaba
Ijubane lokugcina lemabula liyinhlanganisela yejubane lokugcina ohlangothini oluvundlile kanye nejubane lokugcina ohlangothini oluqondile.

[IsiNgisi: Ukuxazulula izinkinga zokunyakaza okubonakalayo - ukunquma ijubane lokugcina]