Chitsanzo cha funso loti mudziwe magawo oyamba a liwiro la kayendedwe ka parabolic

4 Zitsanzo za mafunso oti mudziwe magawo oyamba a liwiro la kayendedwe ka parabolic

1. Mpira umakankhidwa pa ngodya ya 60^o motsutsana ndi pamwamba pa munda. Ngati liwiro loyambirira (v)_o) 10 m/s, dziwani zigawo zoyima ndi zopingasa liwiro mpira woyambirira!
Zokambirana
Amadziwika kuti:
Ngodya (θ) = 60^o
Liwiro loyambirira (v)_o) = 10 m/s
Anafunsa: v_ox ndi v_oy
Yankho:

tchimo θ = v_oy /v_o —–> v_oy =v_o tchimo θ
cos θ = v_ox /v_o —–> v_ox =v_o cos θ

Gawo lolunjika la liwiro loyambirira la mpira:
v_ox =v_o cos θ = (10 m/s)(cos 60^o) = (10 m/s)(0,5) = 5 m/s

Gawo loyima la liwiro loyambirira la mpira:
v_oy =v_o uchimo θ = (10 m/s)(uchimo 60^o) = (10 m/s)(0,5√3) = 5√3 m/s

2. Chinthu chimaponyedwa mmwamba pa ngodya ya 30°^o kupita mopingasa. Ngati gawo loyima la liwiro la chinthucho (v)_oy) ndi 10 m/s, werengerani liwiro loyambirira la chinthucho (v_o)!
Zokambirana
Amadziwika kuti:
Ngodya (θ) = 30^o
Gawo loyima la liwiro loyambirira (v)_oy) = 10 m/s
Anafunsa kuti: Liwiro loyambirira la chinthucho (v)_o)
Yankho:
Fomula ya gawo loyima la liwiro loyambirira:
v_oy =v_o tchimo θ
10 = (v_o)chimo 30^o)
10 = (v_o) (0,5)
v_o = 10/0,5
v_o = 20 m/s
Liwiro loyamba la chinthucho ndi 20 m/s.

3. Gawo lopingasa la liwiro la chipolopolo ndi 30 m/s ndipo gawo loyima la liwiro la chipolopolo ndi 40 m/s. Kodi liwiro loyambirira la chipolopolocho ndi lotani?
Zokambirana
Amadziwika kuti:
Gawo lopingasa la liwiro la chipolopolo (v)_ox) = 30 m/s
Gawo loyima la liwiro la chipolopolo (v)_oy) = 40 m/s
Anafunsa kuti: Liwiro loyamba la chipolopolo (v)_o)
Yankho:
Liwiro loyamba la chipolopolo limawerengedwa pogwiritsa ntchito njira ya Pythagorean:
v_o² =v_ox² +v_oy² = 30² + 40² 900 + 1600 = 2500
v_o = √2500
v_o = 50 m/s
Liwiro loyamba la chipolopolo ndi 50 m/s.

4. Marble imaponyedwa mopingasa kumanja kuchokera ku nyumba yokhala ndi zipinda zambiri. Ngati liwiro loyamba la marble ndi 6 m/s, kodi liwiro loyamba la marble m'njira zopingasa ndi zoyimirira ndi lotani?
Zokambirana
Amadziwika kuti:
Liwiro loyamba la marble (v)_o) = 6 m/s
Anafunsa kuti: Liwiro loyamba la miyala ya marble mbali yopingasa (v_ox) ndi woyimirira (v_oy)
Yankho:
Njira ya miyala ya marble ikuoneka ngati chithunzicho.
Poyamba miyala ya marble imayenda molunjika kotero kuti liwiro loyamba la miyala ya marble limayenda molunjika (v)_ox) = liwiro loyambirira la marble (v_o) = 6 m/s.
Pakadali pano, liwiro loyamba la miyala ya marble kumbali yowongoka ndi zero.

[Chingerezi: Kuthetsa mavuto oyenda ndi ma projectile - Konzani liwiro loyambirira kukhala magawo opingasa ndi olunjika]