Ngā Whatunga Gurumuda
Ngā whārite wae – ngā raruraru me ngā otinga
1. E neke ana tētahi mea i te tere o v = (2i − 1.5j) m/s. He aha te nekehanga o te mea i muri i te 4 hēkona?
Mōhiotia:
Ko te wāhanga whakapae o te tere (v x ) = 2 m/s
Ko te wāhanga poutū o te tere (v y ) = 1.5 m/s
Wā wā (t) = 4 hēkona
E hiahiatia ana: Te nekehanga
Te nekehanga o te whāriki – ngā raruraru me ngā otinga
1. Ka hikoi tētahi tangata mai i te pūwāhi A ki te pūwāhi B, 600 mita ki te raki; kātahi ki te pūwāhi C, 400 mita ki te hauauru; kātahi ki te pūwāhi D, 200 mita ki te tonga; kātahi ka mutu i te pūwāhi E, 700 mita ki te rawhiti. He aha te kaha o te nekehanga?
Rongoā:
Mōhiotia:
AF = AB – BF = AB – CD = 600 – 200 = 400 m
EF = DE – DF = DE – BC = 700 – 400 = 300 m
Te tāpiri i ngā whārite mā te whakamahi i ngā wāhanga – ngā raruraru me ngā otinga
1. E toru ngā whārite e whakaaturia ana i te pikitia i raro nei.
V1 = 30
V2 = 30
V 3 = 40
He aha ngā hua o ngā whārite?
Mōhiotia:
V 1 = 30, koki i waenganui i te V 1 me te tuaka x = 30 o
Ngā whakairoiro o te nekehanga rārangi – ngā raruraru me ngā otinga
1. Te tawhiti kauwhata (poutū) me te wā (whakapae) e whakaaturia ana i te pikitia i raro nei. He mea e takoto kau ana e whakaaturia ana e te tau…
Rongoā:
Tau 3, e whakaaturia ana e te rārangi tika.
Te tere toharite – ngā raruraru me ngā otinga
1. Ka porowhitahia e tetahi tētahi tapawhā rite, he 400 m te roa, he 100 m te whānui, tekau mā rua ngā wā i roto i te kotahi hāora. He aha te tere toharite me te tere toharite?
Mōhiotia:
Te roa o te tapawhā hāngai = 400 mita
Whānui o te tapawhā rite = 100 mita
Porowhita o te tapawhā hāngai = (2 x 400 mita) + (2 x 100 mita) = 800 mita + 200 mita = 1000 mita
Tawhiti = 12 x 1000 mita = 12,000 mita = 12 kiromita
27 Te nekehanga o te pere – ngā raruraru me ngā otinga 1. Ka pupuhihia he matā i te koki θ = 60o me te tere o te 20 m/s. Ko te whakaterenga nā te kaha ā-papa he 10 m/s2. He aha te wā e roa ai te tae ki te teitei mōrahi? E mōhiotia ana: Ko te tere tīmatanga o te matā (vo) = 20 m/s Koki (θ) = 60oC … Pānuihia atu
Te mātāpono pango – ngā raruraru me ngā otinga
1. 200 karamu wai i te 30°C i konatunatua ki te 100 karamu wai i te 90°C. Ko te wera motuhake o te wai = 1 karori karamu −1 °C −1 . Tātaihia te pāmahana whakamutunga o te ranunga!
Mōhiotia:
Taumaha o te wai 2 (m1 ) = 200 karamu
Te pāmahana o te wai 1 (T 1 ) = 30 ° C
Taumaha o te wai 2 (m 2 ) = 100 karamu
10 Ngā Āhuatanga Hihiri e hono ana mā te taura ki runga i te pūrei Mīhini Atwood – Ngā Raru me ngā Otinga
1. Poraka A he 5 kg te taumaha , kei runga i te papa whakapae maeneene. Poraka B he 3 kg te taumaha e iri ana i tetahi pito o te taura e hono ana ki te poraka A i runga i te pūreirei. Ko te tere o te kaha ā-papa he 10 m/s2 . He aha te tere o te tere o ngā poraka e rua?
Mōhiotia:
Te taumaha o te poraka A (mA) = 5 kirokaramu
Taumaha o te poraka B (m B ) = 3 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Te nekehanga porowhita – ngā raruraru me ngā otinga
1. E neke ana tētahi mea 10-kg te taumaha i roto i tētahi porowhita i te tere pumau 4 m/s. Mena he 0.5 mita te pūtoro o te porowhita, kāti:
1) Ko te auau o ngā porowhita he 4/π Hz
2) Ko te whakaterenga ā-pokapū he 32 ms -2
3) Ko te kaha pokapū he 320 N
4) Ko te wā ko 4π s.
Ko ēhea ngā kōrero pono?
Te nekehanga hinga noa – ngā raruraru me ngā otinga
1. Ka taka noa tetahi kōhatu mai i te teitei o te 45 mita. Mena ko te whakaterenga nā te kaha ā-papa he 10 ms -2 , he aha te tere o te kōhatu ina pā ki te whenua?
Mōhiotia:
Teitei (h) = 45 mita
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: Te tere whakamutunga o te kōhatu ina pā ki te whenua ( vt )