Ngā Whatunga Gurumuda
Te mātotoru me te rere i te taurite – ngā raruraru me ngā otinga
1. He poraka kua whakanohoia ki roto i ngā wai e rua he rerekē ngā momo. I roto i ngā wai A, 0.6 te wāhanga o tētahi mea kei roto i te wai. I roto i ngā wai B, 0.5 te wāhanga o tētahi mea kei roto i te wai. Whakatauhia te ōwehenga o te mātotoru o te wai A ki te wai B.
Mōhiotia:
Te mātotoru o te poraka = x
Wāhanga o te mea i roto i te wai A = 0.6
Te mātotoru o te wai A = y
Wāhanga o te mea i roto i te wai B = 0.5
Te tiaki i te pūngao miihini i runga i ngā mata piko – ngā raruraru me ngā otinga
1. Mena ko te tere o te pōro i te pūwāhi A he 6 m/s, ko te tere o te pōro i te pūwāhi B he √92 m/s, ā, ko te whakaterenga nā te kaha ā-papatipu ko g = 10 m/s2 . He aha te teitei o te pūwāhi B (h)?
Mōhiotia:
Tere o te pōro i te pūwāhi A (v)A) = 6 m/s
Tere o te pōro i te pūwāhi B (v B ) = √92 m/s
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Ko te teitei o A (h A ) = 5.6 mita
Te Pokapū o te kaha taumaha – ngā raruraru me ngā otinga
1. Tāutuhia ngā taunga o te pokapū o te taumaha o te mea e whakaaturia ana i te pikitia i raro nei.
Rongoā:
Wehea te mea kia toru ngā wāhanga.
Te horahanga o te wāhanga 1 (A 1 ) = (2)(6) = 12 cm 2
Kei te tuaka-x te pūwāhi pokapū (x 1 ) = 1/2 (2) = 1 cm
Kei te tuaka-y te pūwāhi pokapū (y 1 ) = 1/2 (6) = 3 cm
Te ariā a Torricelli – ngā raruraru me ngā otinga
1. He ngongo he 100 cm te teitei kua whakakīia ki te wai. Kei te 10 cm te teitei o te kōhao Q i runga ake i te whenua. He aha te tawhiti whakapae (x)?
Mōhiotia:
Te tawhiti i waenganui i te poka me te mata o te wai (h) = 100 cm – 10 cm = 90 cm = 0.9 m
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Wetereo – ngā raruraru me ngā otinga
Te Wetereo me te Tauine
1. I roto i ngā kōwhiringa e whai ake nei, ko ngā takirua tauine-tauine…
A. Te kaha – te whakaterenga
B. Pēhanga – kaha
C. Te nekehanga – tere
D. Iahiko – pēhanga
Karuārai Matū – ngā raruraru me ngā otinga
1.
E ai ki te pikitia i runga ake nei, he aha te whakanui whānui? Ki te kī he kanohi noa, ko te pūwāhi tata (N) = 25 cm.
Mōhiotia:
Ngā rahinga ā-tinana Ngā waeine Ngā rahinga – Ngā raruraru me ngā otinga
1.
I runga anō i te ripanga i runga ake nei, ko ēhea ngā rahinga he waeine me he ine tūturu.
Te whakaterenga pūtoro – ngā raruraru me ngā otinga
1. Ko tēhea kauwhata i raro nei e whakaatu ana i te whanaungatanga i waenga i te whakaterenga porotītaha, te whakaterenga porowhita rānei (a R ) me te tere rārangi (v) i roto i te nekehanga porowhita ōrite.
Rongoā:
Pūngao pūmanawa – ngā raruraru me ngā otinga
1. Pūngao 4900 Joule e whakamahia ana hei whakaara i tētahi mea he 50 kg te taumaha ki te teitei o h. He aha te teitei o h? Te whakaterenga nā te kaha ā-papa (g) = 9.8 ms -2.
Mōhiotia:
Te huringa o te pūngao pūmanawa (ΔPE) = 4900 Joules
Papatipu o te mea (m) = 50 kg
Te whakaterenga nā te kaha ā-papa (g) = 9.8 m/s 2
Te wā o te korekore mō ngā matūriki – ngā raruraru me ngā otinga
1. E rua ngā pōro e honoa ana e te tokotoko, e whakaaturia ana i te pikitia i raro nei. Kaua e aro ki te taumaha o te tokotoko . Ko te taumaha o te pōro P he 600 karamu, ā, ko te taumaha o te pōro Q he 400 karamu. He aha te tere o te inertia o te pūnaha e pā ana ki a AB?
Mōhiotia:
Ko te tuaka hurihuri ko AB.
m p = 600 karamu = 0.6 kg, m q = 400 karamu = 0.4 kg
r p = 20 cm = 0.2 m, r q = 50 cm = 0.5 m
E hiahiatia ana: Te wā o te korekore o te pūnaha