3 Ngā tauira o ngā pātai mō te kaha ā-papatipu
1. He 1 kg te taumaha o tētahi mea. Mena ko te whakaterenga nā te kaha ā-papatipu = 10 m/s2, e hia te taumaha o te mea?
Kōrero
E mōhiotia ana :
Papatipu o te mea (m) = 1 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
I pātaihia Taumaha o te mea (w)
Whakautu :
Tātai kaha ā-papatipu:
w = mg
Ngā Mōhiohio:
m = papatipu (ko te waeine ā-ao ko te kirokaramu, he whakarāpopototanga kirokaramu)
g = te whakaterenga nā te kaha ā-papa (ko ngā waeine o te ao ko ngā mita ia hekona tapawhā, he whakarapopototanga m/s2)
w = te kaha ā-papatipu (ko ngā waeine ā-ao ko kg m/s2 (arā, ko Newton)
Ko te taumaha o te mea:
w = (1 kg)(10 m/s2) = 10 kg m/s2 = 10 Niutona
2. Tirohia ngā pikitia (a) me (b) i raro nei.
(a) Tuhia te ira ā-papatipu o te mea, ki te pikitia (a).
(b) Tuhia te irahiko taumaha, te wāhanga o te irahiko taumaha e whakarara ana ki te papa piko me te wāhanga o te irahiko taumaha e poutū ana ki te papa piko, i te ahua (b)!
Kōrero
Ko te ahunga o te kaha ā-papa (w) he poutū ki raro, he poutū rānei ki waenganui o te whenua.
wx = te wāhanga whakapae o te kaha ā-papa me te wy = te wāhanga poutū o te kaha ā-papatipu.
3. Mēnā ko te papatipu o te mea = 1 kg, ā, ko te whakaterenga nā te kaha ā-papatipu = 10 m/s2, whakatau (a) te rahi o te kaha taumaha (b) te rahi o te wāhanga o te ira taumaha e whakarara ana ki te papa piko me te rahi o te wāhanga o te ira taumaha e poutū ana ki te papa piko
Kōrero
Te rahi o te kaha o te āwhata:
w = mg = (1 kg)(10 m/s)2) = 10 kg m/s2 = 10 Niutona
Te rahi o te wāhanga o te kaha ā-papa e whakarara ana ki te papa whakarara:
wx = w sin 30o = (10 N)(0,5) = 5 Nīutona
Te rahi o te wāhanga o te kaha ā-papa e poutū ana ki te papa whakarara:
Wy = w cos 30o = (10 N)(0,5√3) = 5√3 Ngā Newton
[Ingarihi: Te papatipu me te taumaha – ngā raruraru me ngā otinga]
