Warware saurin farko zuwa sassan kwance da a tsaye na motsi mai linzami

An warware matsalolin motsi na harsashi - warware saurin farko zuwa sassan kwance da a tsaye

1. Ƙwallon ƙafa da aka harba ta bar ƙasa a kusurwa θ = 60^o da saurin mita 10/s. Lissafa abubuwan da suka fara saurin gudu!
An sani:
Kusurwoyi (θ) = 60^o
Saurin farko (v)_o) = 10 m/s
Ana so: v_ox kuma v_oy
Magani:
Warware saurin farko zuwa ɓangaren x (a kwance) da kuma ɓangaren y (a tsaye).
zunubi θ = v_oy /v_o —–> v_oy = v_o zunubi θ
cos θ = v_ox /v_o —–> v_ox = v_o kowa

x bangaren (a kwance):
v_ox = v_o cos θ = (10 m/s)(cos 60^o) = (10 m/s)(0.5) = 5 m/s

bangaren y (a tsaye):
v_oy = v_o zunubi θ = (10 m/s)(zunubi 60^o) = (10 m/s)(0.5√3) = 5√3 m/s

2. Abu yana barin ƙasa a kusurwa θ = 30^o tare da ɓangaren y na saurin 10 m/s. Lissafa saurin farko!
An sani:
Kusurwoyi (θ) = 30^o
bangaren y (v)_oy) = 10 m/s
Ana so: Saurin farko (v)_o)
Magani:
v_oy = v_o zunubi θ
10 = (v_o) (zunubi 30^o)
10 = (v_o(0.5)
v_o = 10/0.5
v_o = 20m/s

3. Sashen kwance na saurin farko shine m30/s kuma sashin tsaye na saurin farko shine m40/s. Lissafa saurin farko.
An sani:
Sashen kwance na saurin farko (v)_ox) = 30 m/s
Bangaren tsaye na saurin farko (v)_oy) = 40 m/s
Ana so: Saurin farko (v)_o)
Magani:
v_o² = v_ox² +v_oy² = 30² + 40² = 900 + 1600 = 2500
v_o = √2500
v_o = 50m/s

4. Ana hango ƙaramin ƙwallo a kwance tare da saurin farko v_o = 6m/s. Lissafa x bangaren da y bangaren saurin farko.
An sani:
Saurin farko (v)_o) = 6 m/s
Ana so: vox da v_oy
Magani:
Kwallo yana motsawa a kwance don haka ɓangaren gudu a kwance (v)_ox) = saurin farko (v_o) = 6 m/s. Tsarin tsaye na saurin (v_oy) = 0 ba.

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1. Warware saurin farko zuwa sassan kwance da a tsaye
2. Ƙayyade ƙaura a kwance
3. Ƙayyade matsakaicin tsayi
4. Ƙayyade tazarar lokaci
5. Ƙayyade matsayin abubuwa
6. Ƙayyade saurin ƙarshe