Ngā Whatunga Gurumuda
3 ngā pātai mō te whārite taumaha
1. E toru ngā matūriki, he 1 kg te taumaha, kei ngā pito o tētahi tapatoru ōrite, ā, 1 m te roa o ōna taha. E hia te rahi o te kaha ā-papa e pāngia ana e ia matūriki pūwāhi (i roto i te G)?
otinga
Te rahi o te kaha ā-papa e pāngia ana e tētahi o ngā matūriki.
F12 = G (m1)(m2) / r2 = G (1)(1) / 12 = G/1 = G
F13 = G (m1)(m3) / r2 = G (1)(1) / 12 = G/1 = G
Te hua o te kaha ā-papa i te pūwāhi 1:
3 ngā pātai mō ngā whārite mara hiko
1. He pōro kawe hiko, he 10 cm te whānui, he 500 μC te utu hiko. Kei te rārangi o te pokapū o te pōro ngā pūwāhi A, B, me C i te tawhiti o te 12 cm, 10 cm me te 8 cm mai i te pokapū o te pōro. Tātaihia te kaha o te mara hiko i ngā pūwāhi A, B, me C!
Kua mohiotia:
Ko te radius o te pōro kawe (R) = 10 cm = 0.1 m
Utu hiko (q) = 500 μC = 500 x 10-6 C
rA = 12 henimita = 0,12 mita
rB = 10 henimita = 0,1 mita
rC = 8 henimita = 0,08 mita
Pūmau Coulomb (k) = 9 x 109
Hiahia: Te kaha o te papa hiko i te pūwāhi A (EA), i te pūwāhi B (EB) ā, i te pūwāhi C (EC)
Rongoā:
3 ngā pātai mō te whārite pūmau puna
1. He 10 cm te roa o tētahi puna e whakatārewatia ana. I te pito whakatārewatia, ka whakatārewatia he taumaha 200 karamu kia 11 cm te roa o te puna. Mena ko te karamu = 10 m/s2, he aha te pūmau kaha o te puna?
Mōhiotia:
Ko te roa tīmatanga o te puna (y1) = 10 henimita = 0.10 mita
Ko te roa whakamutunga o te puna (y2) = 11 henimita = 0.11 mita
Te huringa roa o te puna (Δy) = 0.11 – 0.10 = 0.01 mita
Te papatipu o te kawenga (m) = 200 karamu = 0.2 kg
Taumaha kawenga (w) = mg = (0,2)(10) = 2 Newton
Hiahia: Pūmau puna (k)
Rongoā:
3 ngā pātai mō te whārite rerekētanga pūmanawa
1. Ka nekehia he utu hiko i roto i tētahi papa hiko ōrite me te kaha o te 2√3 N i te tawhiti o te 20 cm. Mena kei te koki o te 30 te ahunga o te kahao Mai i te nekehanga o te utu hiko, he aha te rerekētanga o te pūngao pūmanawa hiko i ngā tūranga tīmatanga me ngā tūranga whakamutunga o te utu hiko.
Mōhiotia:
Te kaha (F) = 2√3 N
Tawhiti (s) = 20 cm = 0.2 m
Koki (θ) = 30o
Hiahia: Te rerekētanga pūmanawa hiko
Rongoā:
3 ngā pātai mō te whārite tere koki
1. Ko te radius o tētahi mea e neke ana i te ara porowhita he 0.5 m. Ka taea e te matūriki te hipoki i tētahi koki o te 60π rad i roto i te 15 hēkona. Tātaihia te tere koki o te mea.
Mōhiotia:
Pūtoro (r) = 0.5 mita
Koki (θ) = 60π rād
Wā wā (t) = 15 hēkona
Hiahia: Te tere koki (ω)
Rongoā:
3 ngā pātai mō te whārite kaha hua
1. Ka neke tētahi waka he 5 tana te taumaha mai i te okiokinga i roto i te 50 hēkona, ā, ka eke ki te tere o te 72 km/haora. Ko te kaha i runga i te waka ko…
Mōhiotia:
Taumaha (m) = 5 tāne = 5000 kg
Tere tīmatanga (vo) = 0
Tere whakamutunga (vt) = 72 km/h = 20 m/s
Wā wā (t) = 50 hēkona
Hiahia: Te Kaha (F)
Rongoā:
3 ngā pātai mō te whārite Impulse
1. Kei te neke tētahi motuka he 250 kg te taumaha me te tere o te 72 km/haora, kātahi ka whakaterea ki te kaha pumau kia 80 km/haora te tere i roto i te 5 hēkona. Tātaihia te iri mō te 5 hēkona
Mōhiotia:
Ko te taumaha o te motuka (m) = 250 kg
Tere tīmatanga (vo) = 72 kiromita/h = 20 m/h
Tere whakamutunga (vt) = 80 kiromita/h = 22 m/h
Wā wā (t) = 5 hēkona
Hiahia: Whakatauhia te hihiri (I)
Rongoā:
3 ngā pātai mō te whārite kaha waku
1. Ka whakatakotoria te Poraka A 3 kg ki runga i te tēpu, kātahi ka herea ki te taura e hono ana ki te kōhatu. B = 2 kg mā roto i te pūreirei e whakaaturia ana. Kāore i te arohia te papatipu me te waku o ngā pūreirei. Te whakaterenga nā te kaha ā-papatipu g = 10 m/s2. Whakatauhia te whakaterenga o te pūnaha me te kumetanga i roto i te taura mēnā:
a) tēpu maeneene
b) tēpu taratara me te tauwehenga o te waku nekeneke o te 0.4
Mōhiotia:
Te papatipu o te poraka A (mA) = 3 kirokaramu
Te papatipu o te toka B (mB) = 2 kirokaramu
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
Taumaha o te poraka A (wA) = mg = (3)(10) = 30 Newton
Taumaha o te toka B (wB) = mg = (2)(10) = 20 Newton
Hiahia: Te whakaterenga o te pūnaha (a) me te kukū i roto i te taura (T)
Rongoā:
3 ngā pātai mō te whārite kaha noa
1. He 5 kg te taumaha o tētahi poraka. Mēnā ko te karamu = 10 m/s2, whakatau:
a) te taumaha o te poraka
b) te kaha noa mēnā ka whakatakotoria te poraka ki runga i te papa papatahi
c) te kaha noa mēnā ka tau te poraka ki runga i tētahi papa piko e hanga ana i tētahi koki o te 30o ki te whakapae
Mōhiotia:
Ko te taumaha o te poraka (m) = 5 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s2
Hiahia: w, N i runga i te papa me N i runga i te pari
Rongoā:
3 Ngā Pātai mō te Whārite Taura
1. E whakaatu ana te pikitia i raro nei i ngā poraka e toru, arā, ko A, ko B me C, kei runga i tētahi paparangi whakapae maeneene. Mēnā ko te papatipu A = 1 kg, ko te papatipu B = 2 kg, ko te papatipu C = 2 kg, ā, ko F = 10 N, tātaihia te ōwehenga o te kume i roto i te taura i waenganui i a A me B ki te kume i roto i te taura i waenganui i a B me C.
Mōhiotia:
Te papatipu o A (mA) = 1 kirokaramu
Papatipu B (mB) = 2 kirokaramu
Te papatipu o C (mC) = 2 kirokaramu
Te kaha kume (F) = 10 N
Hiahia: TAB :TBC
Rongoā: