Ngā tauira pātai mō te ture ā-papatipu a Newton

3 Ngā Tauira o te Ture Āhuatanga o Newton

1. E hia te kaha o te kaha ā-papa i waenganui i tētahi tauira 40 kg te taumaha me tētahi tauira wahine 30 kg te taumaha, e 2 mita te tawhiti? Ko te pūmau ā-papa ao = 6,67 x 10 ^-11 N ^m² / ^kg²

Kōrero

E pā ana tēnei pātai ki Te ture ā-papatipu a Newton
E mōhiotia ana:
m₁ = 40 kg, mita₂ = 30 kg, r = 2 m, G = 6,67 x 10^-11 N m² /kg²
Pātai: E hia te rahi o te kaha ā-papa (F)?

Whakautu:

2. E hia te kaha o te kaha ā-papa i waenganui i te whenua me te marama?

Kōrero
E mōhiotia ana:
Te taumaha o te whenua (m_B) = 5,97 x 10²⁴ kg
Te taumaha o te marama (m_b) = 7,35 x 10²² kg
Ko te tawhiti i waenganui i te pokapū o te whenua me te pokapū o te marama (r) = 3,84 x 10⁸ mita
Pūmau ā-papatipu ao (G) = 6,67 x 10^-11 N m² /kg²
Pātai: E hia te kaha o te kaha ā-papa i waenganui i te whenua me te marama?
Whakautu:

3. I tēhea tawhiti mai i te whenua te kore o te kaha ā-papa i waenganui i te whenua me te marama?
Kōrero
E mōhiotia ana:
Papatipu o te Ao = 5,97 x 10²⁴ kg
Papatipu o te marama = 7,35 x 10²² kg
Te tawhiti mai i waenganui o te whenua ki waenganui o te marama (r) = 3,84 x 10⁸ mita = 384.000.000 mita
Pūmau ā-papatipu ao (G) = 6,67 x 10^-11 N m² /kg²
Pātai: I tēhea tawhiti mai i te whenua, i tēhea tawhiti mai rānei i te marama, ko te kaha ā-papa i waenganui i te whenua me te marama he kore?
Whakautu:

Ngā Mōhiohio:
1 = whenua, 2 = matūriki whakamātautau, 3 = marama, F₁₂ = te kaha o te kaha ā-papa i runga i te matūriki whakamātautau, F₃₂ = te kaha ā-papatipu o te marama i runga i te matūriki whakamātautau.
Nō reira, ko te kaha ā-papa i puta mai i te matūriki whakamātautau he kore, ko te rahi o te kaha ā-papa i runga i te matūriki whakamātautau (F₁₂) he ōrite ki te rahi o te kaha ā-papa o te marama i runga i te matūriki whakamātautau (F₃₂) ā, kei ngā ahunga rerekē ngā kaha e rua e whakaaturia ana i te pikitia.

Ko te kaha ā-papa i waenganui i te Ao me te Marama he kore i te tawhiti o te 60.472.403,3 mita ki te 60.472.478,6 mita mai i te pokapū o te Marama. Ko te radius o te Marama he 1.740.000 mita, nō reira e hia te tawhiti mai i te mata o te Marama? Tātaihia hoki te tawhiti mai i te pokapū o te Ao me te mata o te Ao.

Te ture ā-papatipu a Newton
1. E hia te kaha o te kaha ā-papa i waenganui i tētahi tauira 50 kg te taumaha me tētahi tauira wahine 40 kg te taumaha, e 1 mita te tawhiti? Ko te pūmau ā-papa ao = 6,67 x 10^-11 N m² /kg²
2. E hia te kaha o te kaha ā-papa i waenganui i a Papatūānuku me te Rā? Te papatipu o Papatūānuku = 5,97 x 10²⁴ kg, te papatipu o te rā = 1,99 x 10³⁰ kg, ko te tawhiti i waenganui i te whenua me te rā = 149,6 x 10⁶ km
3. I tēhea tawhiti mai i te whenua te kore o te kaha ā-papa i waenganui i te whenua me te rā?