Muenzaniso wemubvunzo wekuona kukwirira kwakanyanya kwekufamba kweparabolic

2 Mienzaniso yemibvunzo yekuona kukwirira kwakanyanya kwekufamba kweparabolic

1. Bhora rinokandwa mudenga nekona ye60^o pamusoro pemunda. Kana speed kutanga (v)_o) 10 m/s, bhora rinosvika pakakwirira zvakadii? Kukurumidza kukwira nekuda kwegiravhiti = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 60^o
Kumhanya kwekutanga (v)_o) = 10 m/s
Akabvunzwa: Kureba kwakanyanya (h)
Mhinduro:

Nzira yebhora inoratidzwa nemufananidzo.
Kutanga verenga kumhanya kwekutanga munzira yakatwasuka:
pasina 60^o =v_oy /v_o
v_oy =v_o pasina 60^o = (10)(chivi 60^o) = (10)(0,5√3) = 5√3 m/s

Mushure mekuwana kukosha kwekutanga kwevelocity munzira yakatwasuka (v _oy ), ikozvino verengai kukwirira kwepamusoro muchishandisa nzira imwecheteyo yekuverenga kukwirira kwepamusoro mukufamba kwakatwasuka . Mukugadzirisa matambudziko ekufamba kwakatwasuka kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chisina kunaka.

Zvinozivikanwa kuti:
Kukurumidza kwegiravhiti (g) = -10 m/s² (haisi yakanaka nekuti divi rekumhanya kwesimba regiravhiti riri pasi)
Kumhanya kwekutanga munzira yakatwasuka (v)_oy) = +5√3 m/s (yakanaka nekuti divi rekumhanya riri kumusoro)
Kumhanya pakukwirira kwepamusoro (v)_ty= = 0
Kana chinhu chakakwirira kwazvo chasvika, chinosara chakazorora kwechinguva chisati chadzokera pasi. Saka kana chakakwirira kwazvo, kumhanya kwechinhu chacho izero.
Akabvunzwa: Kureba kwakanyanya (h)
Mhinduro:
Nekuti huwandu hunozivikanwa ndi v_oy, g na v_ty, nepo mubvunzo uri h, saka fomura yekufamba kwekumusoro kwakamira inoshandiswa ndeiyi:
v_t² =v_o² + 2 gh
Tsananguro: v_t = kumhanya kwekupedzisira, v_o = kumhanya kwekutanga, g = kukurumidza nekuda kwegiravhiti, h = kukwirira kwakanyanya.

Kureba kwakanyanya:
v_t² =v_o² + 2 gh
02 = (5√3)² + 2 (-10) maawa
0 = 25(3) – maawa makumi maviri
0 = 75 - 20 maawa
75 = maawa makumi maviri
h = 75/20
h = mamita 3,75
Saka kukwirira kwakanyanya kunosvikwa nebhora i3,75 metres.

2. Chinhu chinokandwa mudenga nekona ye30°^o Yakatarara, kubva pachivako chine nhurikidzwa dzakawanda chiri mamita makumi maviri kubva pasi. Kumhanya kwekutanga kwechinhu i4 m/s. Sarudza kukwirira kwakanyanya kwechinhu kubva pasi! Kumhanya kunokonzerwa negiravhiti i10 m/s².
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 30^o
Kureba kwechivako (h) = mamita makumi maviri
Kumhanya kwekutanga (v)_o) = 4 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Kureba kwakanyanya kwechinhu kunoverengerwa kubva pasi (h)
Mhinduro:
Kumhanya kwekutanga kwechinhu chiri munzira yakatwasuka:
pasina 30^o =v_oy /v_o
v_oy =v_o pasina 30^o = (4)(chivi 30^o) = (4)(0,5) = 2 m/s

Zvino verenga kukwirira kwakanyanya kunosvikwa nechinhu kubva muchivako chine nhurikidzwa dzakawanda uchishandisa fomura yekufamba kwakamira kumusoro. Wobva wawedzera izvi pakukwirira kwechivako kuti uwane kukwirira kwose. Pakugadzirisa matambudziko ekufamba kwakamira kumusoro, huwandu hwevector hunonongedza kumusoro hunopiwa chiratidzo chakanaka, uye huwandu hwevector hunonongedza pasi hunopiwa chiratidzo chisina kunaka.

Zvinozivikanwa kuti:
Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s² (haisi yakanaka nekuti divi rekumhanya kwesimba regiravhiti riri pasi)
Kumhanya kwekutanga munzira yakatwasuka (v)_oy) = +2 m/s (zvakanaka nekuti divi rekumhanya riri kumusoro)
Kumhanya kwechinhu pakukwirira kwakanyanya (v)_ty= = 0
Akabvunzwa: Kureba kwakanyanya (h)
Mhinduro:
Kureba kwakanyanya:
v_t² =v_o² + 2 gh
0² = 2² + 2 (-10) maawa
0 = 4 - 20 maawa
4 = maawa makumi maviri
h = 4/20
h = mamita 0,2
Kureba kwakanyanya kunosvikwa nebhora rakaverengerwa kubva pasi i 0,2 metres + 20 metres = 20,2 metres.

[Chirungu: Kugadzirisa matambudziko ekufamba kwechinhu chinoburitswa nepfuti - kuona kukwirira kwakanyanya ]