8 Ngā Tauira o ngā Pātai Ture Tuarua a Newton
1. He mea e neke ana he 1 kg te taumaha me te whakaterenga pumau o te 5 m/s2. E hia te rahi o te kaha e puta mai ana hei neke i te mea?
Kōrero
E mōhiotia ana :
Papatipu o te mea (m) = 1 kg
Whakaterenga (a) = 5 m/s2
I pātaihia : te kaha hua e neke ai tētahi mea
Whakautu :
E ai ki te Ture Tuarua a Newton, mēnā he kaha hua e pā ana ki tētahi mea, ka pāngia te mea e te whakaterenga, ko te rahi o te whakaterenga he rite tonu ki te rahi o te kaha hua, ā, he rite whakamuri ki te papatipu o te mea. Ko te ahunga o te whakaterenga o te mea he rite tonu ki te ahunga o te kaha hua. I roto i te pāngarau:
Whakaahuatanga tātai:
Sigma F = te kaha hua, arā, te kaha katoa (ko ngā waeine o te ao ko kg m/s2 (arā, ko Newton)
m = te papatipu o te mea (ko te waeine ā-ao ko te kirokaramu, he whakarapopototanga kg)
a = whakaterenga (ko te waeine ā-ao ko ngā mita ia hekona tapawhā, he whakarāpopototanga m/s)2)
Nō reira, ko te kaha hua e neke ai te mea:
2. Ko te papatipu o te poraka = 1 kg, F = 2 Newton. Ko te rahi me te ahunga o te whakaterenga o te poraka ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka (m) = 1 kg
Te Kaha (F) = 2 Newton
I pātaihia : te rahi me te ahunga o te whakaterenga o te poraka (a)
Whakautu :
Te ahunga o te whakaterenga poraka = te ahunga o te kaha F
3. Taumaha o te poraka = 2 kg, F1 = 5 Newton, F2 = 3 Newton. Ko te rahi me te ahunga o te whakaterenga o te poraka ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka (m) = 2 kg
F1 = 5 Niutona
F2 = 3 Niutona
I pātaihia : te rahi me te ahunga o te whakaterenga o te poraka (a)
Whakautu :
4. Taumaha o te poraka = 2 kg, F1 = 10 Newton, F2 = 1 Newton. Ko te rahi me te ahunga o te whakaterenga o te poraka ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka (m) = 2 kg
F2 = 1 Niutona
F1 = 10 Niutona
F1x =F1 whaimana 60o = (10)(0,5) = 5 Ngā Newton
I pātaihia : te rahi me te ahunga o te whakaterenga o te poraka (a)
Whakautu :
Te ahunga o te whakaterenga poraka = te ahunga o te kaha hua = te ahunga o F1x
5. F1 = 10 Newton, F2 = 1 Newton, m1 = 1 kg, mita2 = 2 kg. Ko te rahi me te ahunga o te whakaterenga o te poraka ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka 1 (m1) = 1 kirokaramu
Taumaha o te poraka 2 (m2) = 2 kirokaramu
F1 = 10 Niutona
F2 = 1 Niutona
I pātaihia : te rahi me te ahunga o te whakaterenga o te poraka (a)
Whakautu :
Te ahunga o te whakaterenga poraka = te ahunga o te kaha hua = te ahunga o F1
[Ingarihi: Te ture tuarua o te nekehanga a Newton – ngā raruraru me ngā otinga]
6. 
He maha ngā kaha e pā ana ki tētahi mea he 5 kg te taumaha e whakaaturia ana i te pikitia. Mēnā he kore te kaha waku i waenganui i te mea me te papa, ko te whakaterenga e pā ana ki te mea ko...
A. 1 m/s2
B. 4 m/s2
C. 5 m/s2
D. 9 m/s2
Kōrero
E mōhiotia ana:
Kāhua 1 (F1) = 15 Newton (te ahunga maui)
Kāhua 2 (F2) = 10 Newton (te ahunga maui)
Kāhua 3 (F3) = 20 Newton (te ahunga ki te taha matau)
Papatipu o te mea (m) = 5 kirokaramu
Pātai: Te whakaterenga e pāngia ana e te mea (a)
Whakautu:
Te kaha hua:
∑F = F1 +F2 - F3
∑F = 15 + 10 – 20
∑F = 25 – 20
∑F = 5 Newton
∑F = 5 kg m/s2
He rite tonu te ahunga o te kaha hua ki te ahunga o te kaha 1 me te ahunga o te kaha 2, arā, ki te taha maui.
Te tātai ture tuarua a Newton:
∑F = ma
5 kg m/s2 = (5 kg) he
5 m / s2 = (5) he
a = (5 m/s2) / 5
a = 1 m/s2
Ko te rahi o te whakaterenga o te mea he 1 m/s2Te ahunga o te whakaterenga o te mea = te ahunga o te nekehanga o te mea = te ahunga o te kaha hua = ki te taha maui
Ko te whakautu tika ko A.
7.
Tirohia te ahua o ngā kaha e pā ana ki te mea e whai ake nei! Mena he 2 kg te taumaha o te mea, ko te whakaterenga ka puta ki te mea ko...
A. 12,5 m/s2
B. 7,5 m/s2
C. 5,0 m/s2
D. 2,5 m/s2
Kōrero
E mōhiotia ana:
Kāhua 1 (F1) = 10 Newton (te ahunga maui)
Kāhua 2 (F2) = 10 Newton (te ahunga ki te taha matau)
Kāhua 3 (F3) = 5 Newton (te ahunga ki te taha matau)
Papatipu o te mea (m) = 2 kirokaramu
Pātai: Te whakaterenga e pāngia ana e te mea (a)
Whakautu:
Te kaha hua:
∑F = F2 +F3 - F1
∑F = 10 + 5 – 10
∑F = 15 – 10
∑F = 5 Newton
∑F = 5 kg m/s2
He rite tonu te ahunga o te kaha hua ki te ahunga o te kaha 2, ā, kei te taha matau te ahunga o te kaha 3.
Te tātai ture tuarua a Newton:
∑F = ma
5 kg m/s2 = (2 kg) he
5 m / s2 = (2) he
a = (5 m/s2) / 2
a = 2,5 m/s2
Ko te rahi o te whakaterenga o te mea he 2 m/s2. Ko te ahunga o te whakaterenga o te mea = te ahunga o te nekehanga o te mea = te ahunga o te kaha hua = ki te taha matau
Ko te whakautu tika ko D.
8. He maha ngā kaha e pā ana ki te mea B e whakaaturia ana i te pikitia.
Mena ko te papatipu o te mea B = 4 kg, ko te whakaterenga ka pā ki a B ko….
A. 2,5 m/s2
B. 4,0 m/s2
C. 5,0 m/s2
D. 9,0 m/s2
Kōrero
E mōhiotia ana:
Kāhua 1 (F1) = 20 Newton (te ahunga ki te taha matau)
Kāhua 2 (F2) = 6 Newton (te ahunga ki te taha matau)
Kāhua 3 (F3) = 10 Newton (te ahunga maui)
Papatipu o te mea (m) = 4 kirokaramu
Pātai: Te whakaterenga i pā ki a B (a)
Whakautu:
Te kaha hua:
∑F = F1 +F2 - F3
∑F = 20 + 6 – 10
∑F = 26 – 10
∑F = 16 Newton
∑F = 16 kg m/s2
He rite tonu te ahunga o te kaha hua ki te ahunga o te kaha 1, ā, kei te taha matau te ahunga o te kaha 1.
Te tātai ture tuarua a Newton:
∑F = ma
16 kg m/s2 = (4 kg) he
16 m / s2 = (4) he
a = (16 m/s2) / 4
a = 4 m/s2
Ko te rahi o te whakaterenga o te mea he 4 m/s2. Ko te ahunga o te whakaterenga o te mea = te ahunga o te nekehanga o te mea = te ahunga o te kaha hua = ki te taha matau
Ko te whakautu tika ko B.
