Chitsanzo cha funso loti mudziwe kutalika kwakukulu kwa kayendedwe ka parabolic

2 Zitsanzo za mafunso oti mudziwe kutalika kwakukulu kwa kayendedwe ka parabolic

1. Mpira umakankhidwa mmwamba pa ngodya 60^o motsutsana ndi pamwamba pa munda. Ngati liwiro chiyambi (v)_o) 10 m/s, kutalika kwakukulu kwa mpira ndi kotani? Kuthamanga chifukwa cha mphamvu yokoka = 10 m/s²
Zokambirana
Amadziwika kuti:
Ngodya (θ) = 60^o
Liwiro loyambirira (v)_o) = 10 m/s
Anafunsa kuti: Kutalika kwakukulu (h)
Yankho:

Njira ya mpira ikufotokozedwa ndi chithunzicho.
Choyamba werengani liwiro loyambirira kumbali yolunjika:
tchimo 60^o =v_oy /v_o
v_oy =v_o tchimo 60^o = (10)(chimo 60^o) = (10)(0,5√3) = 5√3 m/s

Pambuyo popeza mtengo woyambirira wa liwiro munjira yolunjika (v_oy), tsopano werengerani kutalika kwakukulu pogwiritsa ntchito njira yofanana ndi kuwerengera kutalika kwakukulu mu kuyenda koyima mmwambaPothetsa vuto la kuyenda molunjika mmwamba, kuchuluka kwa vekitala Vekitala yomwe imayang'ana mmwamba imapatsidwa chizindikiro chabwino, vekitala yomwe imayang'ana pansi imapatsidwa chizindikiro choipa.

Amadziwika kuti:
Kuthamanga kwa mphamvu yokoka (g) = -10 m/s² (zoipa chifukwa njira yokoka imayendera pansi)
Liwiro loyambirira mbali yolunjika (v)_oy) = +5√3 m/s (zabwino chifukwa chiwongolero cha liwiro chili mmwamba)
Liwiro pa kutalika kwakukulu (v)_ty= = 0
Pa kutalika kwakukulu, chinthucho chimakhalabe chilili kwa kanthawi chisanabwerere pansi. Choncho pa kutalika kwakukulu, liwiro la chinthucho ndi zero.
Anafunsa kuti: Kutalika kwakukulu (h)
Yankho:
Chifukwa kuchuluka kodziwika ndi v_oy, g ndi v_ty, pomwe funso ndi h, ndiye kuti njira yoyendetsera molunjika mmwamba yomwe imagwiritsidwa ntchito ndi iyi:
v_t² =v_o² + 2 gh
Kufotokozera: v_t = liwiro lomaliza, v_o = liwiro loyambirira, g = kufulumira chifukwa cha mphamvu yokoka, h = kutalika kwakukulu.

Kutalika kwakukulu:
v_t² =v_o² + 2 gh
02 = (5√3)² + 2 (-10) maola
0 = 25(3) – maola 20
0 = 75 – 20 maola
75 = maola 20
h = 75 / 20
h = mamita 3,75
Kotero kutalika kwakukulu komwe mpira ungafikire ndi mamita 3,75.

2. Chinthu chimaponyedwa mmwamba pa ngodya ya 30°^o mopingasa, kuchokera ku nyumba yokhala ndi zipinda zambiri yomwe ili pamtunda wa mamita 20 kuchokera pansi. Liwiro loyambirira la chinthucho ndi 4 m/s. Dziwani kutalika kwakukulu kwa chinthucho kuchokera pansi! Kuthamanga chifukwa cha mphamvu yokoka ndi 10 m/s².
Zokambirana
Amadziwika kuti:
Ngodya (θ) = 30^o
Kutalika kwa nyumba (h) = mamita 20
Liwiro loyambirira (v)_o) = 4 m/s
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²
Anafunsa kuti: Kutalika kwakukulu kwa chinthucho kumawerengedwa kuchokera pansi (h)
Yankho:
Liwiro loyambirira la chinthucho molunjika:
tchimo 30^o =v_oy /v_o
v_oy =v_o tchimo 30^o = (4)(chimo 30^o) = (4)(0,5) = 2 m/s

Tsopano werengani kutalika kwakukulu komwe chinthucho chingapezeke kuchokera ku nyumba ya zipinda zambiri pogwiritsa ntchito njira yoyendetsera molunjika mmwamba. Kenako, onjezani izi kutalika kwa nyumbayo kuti mupeze kutalika konse. Mukathetsa mavuto oyendetsera molunjika mmwamba, kuchuluka kwa vekitala komwe kukuloza mmwamba kumapatsidwa chizindikiro chabwino, ndipo kuchuluka kwa vekitala komwe kukuloza pansi kumapatsidwa chizindikiro choyipa.

Amadziwika kuti:
Kuthamanga chifukwa cha mphamvu yokoka (g) = -10 m/s² (zoipa chifukwa njira yokoka imayendera pansi)
Liwiro loyambirira mbali yolunjika (v)_oy) = +2 m/s (zabwino chifukwa chiwongolero cha liwiro chili mmwamba)
Liwiro la chinthucho pa kutalika kwakukulu (v_ty= = 0
Anafunsa kuti: Kutalika kwakukulu (h)
Yankho:
Kutalika kwakukulu:
v_t² =v_o² + 2 gh
0² = 2² + 2 (-10) maola
0 = 4 – 20 maola
4 = maola 20
h = 4 / 20
h = mamita 0,2
Kutalika kwakukulu komwe mpira umafikira kuchokera pansi ndi 0,2 metres + 20 metres = 20,2 metres.

[Chingerezi: Kuthetsa mavuto oyenda ndi zipolopolo - kudziwa kutalika kwakukulu]