9 Ngā Tauira o Ngā Pātai mō te Kaha Noa
1. Kei te takoto kau tētahi poraka i runga i tētahi mata papatahi. Ko te taumaha o te poraka (m) = 1 kg, ko te whakaterenga nā te kaha ā-papa (g) = 10 m/s2Ko te rahi me te ahunga o te kaha noa (N) ko...
Kōrero
E mōhiotia ana :
Taumaha o te poraka (m) = 1 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
Te taumahatanga (w) = mg = (1 kg)(10 m/s)2) = 10 kg m/s2 = 10 Niutona
I pātaihia : te rahi me te ahunga o te kaha noa (N)
Whakautu :
Ko te ahunga o te kaha noa (N) e whakaaturia ana i raro nei.

Te rahi o te kaha noa
E ai ki te Ture Tuatahi a Newton, mēnā kei te okioki tetahi mea, ko te kaha hua e pā ana ki te mea he 0. He kaha whakararo (w). Nā te mea kei te okioki te poraka, me whai kaha whakarunga hei taurite i te taumaha, nō reira he kore te kaha hua. Ko te kaha whakarunga e taurite ana i te taumaha ko te kaha noa (N). I roto i te pāngarau:
2. Kei te okioki ngā poraka e rua. Ko te taumaha o te poraka 1 (m1) = 1 kg, te taumaha o te poraka 2 (m2) = 2 kg, te whakaterenga nā te kaha ā-papa (g) = 10 m/s2. Te rahi me te ahunga o te kaha noa e pā ana ki te poraka 1 (N1) me te poraka 2 (N2) ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka 1 (m1) = 1 kirokaramu
Taumaha o te poraka 2 (m2) = 2 kirokaramu
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
Taumaha o te poraka 1 (w1) = m1 g = (1)(10 m/s)2) = 10 kg m/s2 = 10 Niutona
Taumaha o te poraka 2 (w2) = m2 g = (2)(10 m/s)2) = 20 kg m/s2 = 20 Niutona
I pātaihia : N1 me N2
Whakautu :
(a) Te kaha noa e pā ana ki te poraka 1 (N1)
N1 =w1 = 10 Niutona
Te ahunga N1 pērā i te pikitia i runga ake nei.
(b) Te kaha noa e pā ana ki te poraka 2 (N2)
N2 =w1 + w2 = 10 Ngā Niutoni + 20 Ngā Niutoni = 30 Ngā Niutoni
Te ahunga N2 pērā i te pikitia i runga ake nei.
3. Kei te takoto kau te poraka. Ko te papatipu o te poraka (m) = 2 kg, ko te whakaterenga nā te kaha ā-papatipu (g) = 10 m/s2, te kaha F = 10 Newton. Ko te rahi me te ahunga o te kaha noa (N) e pā ana ki te poraka ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka (m) = 2 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
Te taumahatanga (w) = mg = (2 kg)(10 m/s)2) = 20 kg m/s2 = 20 Niutona
Te Kaha (F) = 10 Newton
I pātaihia : te rahi me te ahunga o te kaha noa (N)
Whakautu :
Ko te ahunga o te kaha noa e rite ana ki te pikitia i runga ake nei.
Te rahi o te kaha noa:
4. Kei te takoto kau te poraka. Ko te papatipu o te poraka (m) = 1 kg, ko te whakaterenga nā te kaha ā-papatipu (g) = 10 m/s2, kaha F1 = 10 Newton, F2 = 20 Newton. Ko te rahi me te ahunga o te kaha noa (N) e pā ana ki te poraka ko…
Kōrero
E mōhiotia ana :
Taumaha o te poraka (m) = 1 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
Te taumahatanga (w) = mg = (1 kg)(10 m/s)2) = 10 kg m/s2 = 10 Niutona
F1 = 10 Niutona
F2 = 20 Niutona
I pātaihia : te rahi me te ahunga o te kaha noa (N)
Whakautu :
Ko te ahunga o te kaha noa e rite ana ki te pikitia i runga ake nei.
5. Taumaha o te poraka (m) = 2 kg, whakaterenga nā te kaha ā-papa (g) = 10 m/s2, koki = 60oKo te rahi me te ahunga o te kaha noa (N) e pā ana ki te poraka ko…
Kōrero
Taitara:
w = te kaha ā-papatipu, wx = te wāhanga o te kaha ā-papa e whakarara ana ki te mata o te papa whakarara, wy = te wāhanga o te kaha o te papa taumaha e poutū ana ki te papa whakarara, N = te kaha noa, fk = te kaha waku nekeneke.
E mōhiotia ana :
I pātaihia : te rahi me te ahunga o te kaha noa (N)
Whakautu :
He tū te mea, arā, kāore e neke ana i te ahunga poutū ki te mata o te papa piko, nō reira, e ai ki te ture tuatahi a Newton, me ōrite te kaha hua i te ahunga poutū ki te mata o te papa piko ki te kore.
E rua ngā kaha e mahi poutū ana ki te mata o te papa whakarara, arā, ko te kaha wy me te kaha noa. Ko te hua o ēnei kaha e rua = 0. Mā te pāngarau:
Nō reira, ko te rahi o te kaha noa he 10 Newton.
[Reo Pākehā: Te kaha noa – ngā raruraru me ngā otinga ]
6. Tirohia te ahua o te poraka i raro nei! Mena he 2 kg te taumaha o te poraka, ā, ko te whakaterenga nā te kaha ā-papa he 10 m s −2 , ko te kaha noa e pā ana ki te poraka ko….
A. 25 N
B. 30 N
C. 33 N
D. 43 N
E. 45 N
Kōrero
E mōhiotia ana:
w = mg = (2 kg)(10 m/s)2) = 20 kg m/s2 = 20 Niutona
F1 = 10 N
F2 = 5 N
I pātaihia:
Te kaha noa (N) e pāngia ana e te poraka?
Whakautu:
Ko te kaha hua i te ahunga poutū ko:
F1 + w – F2 = 10 N + 20 N – 5 N = 25 N
Mena ko te kaha whakararo = 25 N, ko te kaha noa = 25 N, nō reira ka tū tonu te mea.
Ko te whakautu tika ko A.
7. Mena ko te kaha noa e pā ana ki te poraka he 20 N, ko te rahi me te ahunga o te kaha o waho e pā ana ki te poraka ko...
A. 50 N me raro iho
B. 30 N me runga ake
C. 30 N me raro iho
D. 20 N me runga ake
E. 20 N me raro iho
Kōrero
E mōhiotia ana:
Te kaha ā-papatipu (w) = 40 N
Te kaha noa (N) = 20 N
Pātai: He aha te rahi me te ahunga o te kaha o waho kia rite ai te kaha noa ki te 20 N?
Whakautu:
Ko te rahi o te kaha noa = 20 N, ā, ko te ahunga o te kaha noa kei runga. Kei te okioki te mea, nō reira ko te ahunga o te kaha ki raro e taurite ana i te kaha noa me ōrite ki te 20 N.
Ko te rahi o te kaha ā-papatipu = 40 N, ā, ko te ahunga ki raro, nō reira e hiahiatia ana he kaha o waho o te 20 N e anga ana ki runga.
Ko te whakautu tika ko D.
8. Tirohia te ahua e whai ake nei o tētahi poraka. Mena he 3 kg te taumaha o te poraka, ā, ko te whakaterenga nā te kaha ā-papa he 10 m s −2 , ko te kaha noa e pā ana ki te poraka ko ….
A. 27 N
B. 30 N
C. 33 N
D. 43 N
E. 45 N
Kōrero
E mōhiotia ana:
w = mg = (3 kg)(10 m/s)2) = 30 Newton (te ahunga whakararo)
F1 = 5 N (te ahunga whakararo)
F2 = 8 N (te ahunga whakarunga)
Pātai: Te kaha noa (N)?
Whakautu:
Ka tukuna te kaha noa e te papa ki runga i te kurupae, ā, he poutū ki te mata o te papa. Haunga te kaha noa, e toru ngā kaha e pā ana ki te kurupae, arā, ko F1, F2 me te w. He ōrite te rahi o te kaha noa ki te hua o ēnei kaha e toru, nō reira te kaha hua i te ahunga poutū he ōrite ki te kore, kei te tū tonu te mea, ā, Te ture tuatahi a Newton kua tutuki.
Ka tāpirihia ngā kaha i te ahunga kotahi, ā, ka tangohia ngā kaha i ngā ahunga rerekē.
w + F1 – F2 = 30 + 5 – 8 = 35 – 8 = 27 N
Ko te hua o ēnei kaha e toru ko 27 N. Ko te rahi o te kaha noa = 27 Newton.
Ko te whakautu tika ko A.
9. Mena ko te kaha noa e pā ana ki te poraka he 20 N, ko te rahi me te ahunga o te kaha o waho e pā ana ki te poraka ko...
A. 50 N me raro iho
B. 30 N me runga ake
C. 30 N me raro iho
D. 20 N me runga ake
E. 20 N me raro iho
Kōrero
E mōhiotia ana:
w = 50 N
N = 20 N
Pātai: E hia te rahi o te kaha o waho (F) e pā ana ki te poraka?
Whakautu:
Nō reira, ko te kaha noa (N) = 20 N, me whai kaha o waho (F) = 30 N, ā, kei te taha kē. kaha ā-papa (w) = 50 N.
Ko te rahi o te kaha o waho (F) = 30 N, ko te ahunga o te kaha o waho kei runga.
Ko te whakautu tika ko B.