1. He tangata 50-kg te taumaha i roto i tētahi ararewa. Te whakaterenga nā te kaha ā-papatipu = 10 m/s 2. Tātaihia te kaha noa i pā ki te mea e te ararewa, mēnā:
(a) kei te okioki te ararewa
(b) kei te neke te ararewa ki raro i te tere pumau
(c) i tere ake te ararewa ki runga i te tere pumau 5 /s 2
(d) i whakaterea te ararewa ki raro i te tere pumau 5 m/s 2
(e) te ararewa i te hinganga kore utu
otinga
Mōhiotia:
Papatipu o te tangata (m) = 50 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Taumaha (w) = mg = (50)(10) = 500 Newton
E hiahiatia ana: Te kaha noa (N)
Rongoā:
(a) kei te okioki te ararewa
Kei te okioki te ararewa, nō reira kāore he whakaterenga (a = 0)
Ka whiriwhiria e tātou te ahunga whakarunga i te ahunga pai, me te ahunga whakararo i te ahunga kino.
Σ F = ma
N – w = 0
N = w
N = 500 Niutona
(b) kei te neke te ararewa ki raro i te tere pumau
Tere pumau, nō reira kāore he whakaterenga (a = 0)
Ka whiriwhiria e tātou te ahunga whakarunga i te ahunga pai, me te ahunga whakararo i te ahunga kino.
Σ F = ma
N – w = 0
N = w
N = 500 Niutona
(c) i whakaterea ake te ararewa i te tere pumau 5 m/s 2
Kei runga te ahunga o te whakaterenga, nō reira ka whiriwhiria e tātou te ahunga pai hei runga.
N – w = ma
N = w + ma
N = 500 + (50)(5)
N = 500 + 250
N = 750 Niutona
Ka kaha ake te rongo o te tangata i te papa e pana ana ki runga i tērā i te wā e tū ana te ararewa, e neke ana rānei me te tere pumau.
Ki te tū te tangata i runga i te tauine, ka pānuihia e te tauine te rahi o te kaha whakararo e tukuna ana e te tangata i runga i te tauine. E ai ki te ture tuatoru a Newton, he rite tēnei ki te rahi o te kaha noa whakararo e tukuna ana e te tauine ki runga i te tangata.
(d) i whakaterea te ararewa ki raro i te tere pumau 5 m/s 2
Kei raro te ahunga o te whakaterenga, nō reira ka whiriwhiria e tātou te ahunga pai hei raro.
w – N = ma
N = w – ma
N = 500 – (50)(5)
N = 500 – 250
N = 250 Niutona
Ko te taumaha o te tangata he 250 N, he iti iho i te taumaha tuturu w = 500 N.
(e) te ararewa i te hinganga kore utu
Ko te tikanga o te hinganga kore utu he rite tonu te tere o te ararewa ki te tere o te kaha ā-papa. Ko te rahi o te tere o te kaha ā-papa he 9,8 m/s² , ko tōna ahunga he heke ki raro ki waenganui o te Ao. Ka piki haere te tere i roto i te wā mā te 9,8 m/s i ia hēkona.
Kei raro te ahunga o te whakaterenga, nō reira ka whiriwhiria e tātou te ahunga pai hei raro.
w – N = ma
N = w – ma
N = 500 – (50)(10)
N = 500 – 500
N = 0
[irp]
2. Tātaihia te kume i roto i te taura ararewa. Ko te papatipu o te ararewa = 2000 kg.
(a) kei te okioki te ararewa
(b) i whakaterea te ararewa ki raro i te tere pumau 5 m/s 2
(c) i whakaterea ake te ararewa i te tere pumau 5 m/s 2
(d) ararewa i te hinganga kore utu
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
otinga
Mōhiotia:
Te taumaha o te ararewa (m) = 2000 kg
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
taumaha (w) = mg = (2000)(10) = 20,000 Newton
E hiahiatia ana: Te kaha kume (T)
Rongoā:
(a) kei te okioki te ararewa
kei te okioki te ararewa , nō reira kāore he whakaterenga (a = 0)
Ka whiriwhiria e tātou te ahunga whakarunga hei ahunga pai, me te ahunga whakararo hei ahunga kino.
Σ F = ma
T – w = 0
T = w
T = 20,000 Ngā Niutona
Te kukū o te taura (T) = te taumaha o te ararewa (w) = 20,000 Newton
(b) i whakaterea te ararewa ki raro i te tere pumau 5 m/s 2
Kei raro te ahunga o te whakaterenga, nō reira ka whiriwhiria e tātou te ahunga pai hei raro.
w – T = ma
T = w – ma
T = 20,000 – (2000)(5)
T = 20,000 – 10,000
T = 10,000 Ngā Niutona
c) i tere ake te ararewa ki runga i te tere pumau 5 m/s 2
Kei raro te ahunga o te whakaterenga, nō reira ka whiriwhiria e tātou te ahunga pai hei runga.
T – w = ma
T = w + ma
T = 20,000 + (2000)(5)
T = 20,000 + 10,000
T = 30,000 Ngā Niutona
(d) ararewa i te hinganga kore utu
Kei raro te ahunga o te whakaterenga, nō reira ka whiriwhiria e tātou te ahunga pai hei raro.
w – T = ma
T = w – ma
T = 20,000 – (2000)(10)
T = 20,000 – 20,000
T = 0
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- Papatipu me te taumaha
- Te kaha noa
- Te ture tuarua o te nekehanga a Newton
- Te kaha waku
- Te nekehanga i runga i te mata whakapae me te kore he kaha waku
- Te nekehanga o ngā tinana e rua me te tere tere ōrite i runga i te mata whakapae taratara me te kaha waku
- Te nekehanga i runga i te papa whakarara me te kore he kaha waku
- Te nekehanga i runga i te papa whakarara taratara me te kaha waku
- Te nekehanga i roto i te ararewa
- Ka honoa te nekehanga o ngā tinana e ngā taura me ngā pūrere
- E rua ngā tinana he rite te rahi o te whakaterenga
- Te whakaawhiwhi i tētahi piko papatahi – ngā nekehanga porowhita
- Te whakaawhiwhi i tētahi kōpiko peeke – ngā hihiri o te nekehanga porowhita
- Te nekehanga ōrite i roto i te porowhita whakapae
- Te kaha pokapū i roto i te nekehanga porowhita ōrite
