10 Tauira o ngā Pātai Pēhanga
1. He ōrite te papatipu me te rōrahi o ngā poraka e whā i raro nei, nō reira ko te pēhanga iti rawa ki runga i te papa ka pā mai i te tau o te mea...
A. Ahau
B. II
C. III
D. IV
Kōrero
Tātai pēhanga:
P = F / A
I runga i tēnei tātai, ka whakatauhia ko te pēhanga (P) he rite tonu ki te kaha (F) me te rite whakamuri ki te horahanga o te mata (A). Ko te tikanga, ki te nui ake te kaha, ka nui ake hoki te pēhanga, ā, ki te nui ake te horahanga o te mata, ka iti ake hoki te pēhanga.
E ai ki te ahua, ko te mea III te mata nui rawa e pā ana ki te papa, nō reira ko tēnei mea te mea iti rawa te pēhanga e pā ana ki te papa.
Ko te whakautu tika ko C.
2. Mena he ōrite te papatipu o ngā tapatoru e whā i raro nei, ko te pēhanga nui rawa atu i runga i te horahanga pēhanga ka tohua e te ahua...
Kōrero
Tātai pēhanga:
P = F / A = w / A
Ngā Mōhiotanga: P = pēhanga, F = kaha, w = kaha ā-papa , A = horahanga mata e pā ana ki te papa.
I runga i tēnei tātai, ka taea te whakatau ko te pēhanga he rite tonu ki te kaha ā-papa, ā, he rite whakamuri ki te horahanga o te mata e pā ana ki te papa. Nō reira, ko te nui ake o te kaha ā-papa, ko te nui ake o te pēhanga, ā, ko te iti ake o te horahanga o te mata o te mea e pā ana ki te papa, ko te nui ake o te pēhanga.
Mena he ōrite te taumaha o ngā tapatoru e whā, he ōrite te kaha o te ā-papa i runga i ngā tapatoru e whā. Nō reira, ko te pēhanga e whakawhirinaki ana ki te horahanga o te mata e pā ana ki te papa, arā, ko te wāhi iti rawa o te mata e nui ana te pēhanga.
Ko te whakautu tika ko B.
3. Kei te pikitia te pēhanga nui rawa atu...
Kōrero
Tātai pēhanga:
P = F / A = w / A
Ngā Mōhiotanga: P = pēhanga, F = kaha, w = kaha ā-papa, A = horahanga mata e pā ana ki te papa.
I runga i tēnei tātai, ka taea te whakatau ko te pēhanga he rite tonu ki te kaha ā-papa, ā, he rite whakamuri ki te horahanga o te mata e pā ana ki te papa. Nō reira, ko te nui ake o te kaha ā-papa, ko te nui ake o te pēhanga, ā, ko te iti ake o te horahanga o te mata o te mea e pā ana ki te papa, ko te nui ake o te pēhanga.
Mena he ōrite te taumaha o ngā mea e whā, he ōrite te kaha o te ā-papa i runga i ngā mea e whā. Nō reira, ko te pēhanga e whakawhirinaki ana ki te horahanga o te mata e pā ana ki te papa, arā, ko te wāhi iti rawa o te mata e nui ana te pēhanga.
Ko te whakautu tika ko D.
4. Ka pā te kaha o te 500 N ki te mata o te 2,5 m² . Ko te pēhanga he …
A. 20 Pa
B. 200 Pa
C. 2000 Pa
D. 2 Pa
Kōrero
E mōhiotia ana:
Te Kaha (F) = 500 Newton
Te horahanga o te mata (A) = 2,5 mita pūrua
I pātaihia: Pēhanga (P)
Whakautu:
Pēhanga (P):
P = F / A
P = 500 / 2,5
P = 200 N/ m²
P = 200 Pākara
Ko te whakautu tika ko B.
5. Ka pā te kaha o te 500 N ki te mata o te 2,5 m² . Ko te pēhanga he …
A. 20 Pa
B. 200 Pa
C. 2000 Pa
D. 2 Pa
Kōrero
E mōhiotia ana:
Te Kaha (F) = 500 Newton
Te horahanga o te mata (A) = 2,5 mita pūrua
I pātaihia: Pēhanga (P)
Whakautu:
Pēhanga (P):
P = F / A
P = 500 / 2,5
P = 200 N/ m²
P = 200 Pākara
Ko te whakautu tika ko B.
6. Tirohia te pikitia e whai ake nei! Ko te taumaha o te pouaka = 75 kg me te whakaterenga nā te kaha ā-papatipu g = 10 m/s 2. Ko te pēhanga e pā ana ki te turanga o te pouaka ko...
A. 150 N/m2
B. 125 N/ m2
C. 75 N/ m2
D. 25 N/ m2
Kōrero
E mōhiotia ana:
Taumaha o te pouaka (m) = 75 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Te kaha ā-papatipu (w) = mg = (75 kg)(10 m/s² ) = 750 kg m/s² = 750 Newton
Ko te horahanga o te turanga o te pouaka (A) = 6 mita x 5 mita = 30 mita pūrua
I pātaihia: Te pēhanga i tukuna e te raro o te pouaka
Whakautu:
Te pēhanga i pā mai i te raro o te pouaka:
P = F/A = w/A = 750/30 = 25 N/ m²
Ko te whakautu tika ko D.
7. He 24 kg te taumaha o tētahi pouaka kātene kei roto ngā māngo, ā, kua whakatakotoria ki runga i te papa, ā, ko ōna inenga e rite ana ki te pikitia (g = 10 m/s2 ) . Ko te pēhanga i pā ki te papa e te pouaka kātene ko….
A. 600 N/m2
B. 1000 N/ m2
C. 1200 N/ m2
D. 2400 N/ m2
Kōrero
E mōhiotia ana:
Taumaha (m) = 24 kg
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Taumaha (w) = mg = (24 kg)(10 m/s² ) = 240 kg m/s² = 240 Newton
Te horahanga o te mata e pā ana ki te papa (A) = 1 m x 0,4 m = 0,4 m²
Pātai: E hia te pēhanga o te kātene ki runga i te papa?
Whakautu:
Tātai pēhanga:
P = F / A = w / A
Whakaahuatanga tātai: P = pēhanga, F = kaha, w = taumahatanga, A = horahanga mata
Te nui o te pēhanga e pā ana ki te papa o te kātene:
P = 240 N / 0,4 m² = 600 N/ m²
Ko te whakautu tika ko A.
8. E whā ngā poraka ōrite o te papatipu ōrite kua whakatakotoria ki runga i te papa kotahi i te tūranga e whakaaturia ana i te pikitia. Ko te pēhanga nui rawa atu i pā ki te papa e whakaaturia ana i te pikitia...
Kōrero
Tātai pēhanga :
P = F / A = w / A
Ngā Mōhiotanga: P = pēhanga, F = kaha, w = taumahatanga, A = horahanga mata.
I runga i te tātai pēhanga, ka whakatauhia he rite te pēhanga ki te kaha, ā, he rite whakamuri ki te horahanga o te mata. Ka nui ake te kaha, ka nui ake te pēhanga. Ka nui ake te horahanga o te mata, ka iti iho te pēhanga.
He ōrite ngā taumaha o ngā poraka, nō reira he ōrite ō rātou taumaha. Nō reira, ko te nui o te pēhanga i roto i te raruraru i runga ake nei ka whakatauhia e te horahanga o te mata e pā ana ki te papa (horahanga turanga). Ko te pēhanga nui rawa atu e pāngia ana e te papa ka puta mai i te poraka he iti rawa te horahanga turanga.
Te horahanga o te mata o te poraka A = (2 cm)(4 cm) = 8 cm2
Te horahanga o te mata o te poraka B = (4 cm)(4 cm) = 16 cm2
Te horahanga o te mata o te poraka C = (4 cm)(3 cm) = 12 cm2
Te horahanga o te mata o te porowhita D = (3 cm)(3 cm) = 9 cm2
Ko te whakautu tika ko A.
9. E whā ngā poraka he rite te taumaha kua whakatakotoria ki runga i te papa kotahi. Ko te poraka e iti rawa te pēhanga ki runga i te papa ko…
Kōrero
He ōrite ngā taumaha o ngā poraka, nō reira he ōrite ō rātou taumaha. Nō reira, ko te nui o te pēhanga i roto i te raruraru i runga ake nei ka whakatauhia e te horahanga mata o te poraka e pā ana ki te papa (horahanga turanga). Ko te pēhanga iti rawa e pāngia ana e te papa ka puta mai i te poraka me te horahanga turanga nui rawa.
Te horahanga o te mata o te poraka A = (2 cm)(2 cm) = 4 cm2
Te horahanga o te mata o te poraka B = (1 cm)(3 cm) = 3 cm2
Te horahanga o te mata o te poraka C = (4 cm)(2 cm) = 8 cm2
Te horahanga o te mata o te porowhita D = (4 cm)(4 cm) = 16 cm2
Ko te whakautu tika ko D.
10. Tirohia te ahua e whai ake nei! He ōrite te taumaha o ia poraka. Ko te pēhanga iti rawa i runga i te mata pēhanga kei runga i te poraka…
Kōrero
He ōrite te papatipu o ngā poraka, nō reira he ōrite te taumaha o ngā poraka. Ko te pēhanga iti rawa i runga i te papa kōpeketanga ka whakatauhia ko te kurupae kei a ia te horahanga turanga nui rawa atu.
Te horahanga o te mata o te poraka A = (4 cm)(2 cm) = 8 cm2
Te horahanga o te mata o te poraka B = (3 cm)(2 cm) = 6 cm2
Te horahanga o te mata o te poraka C = (4 cm)(1 cm) = 4 cm2
Te horahanga o te mata o te porowhita D = (2 cm)(2 cm) = 4 cm2
Ko te whakautu tika ko A.
Pūtake pātai:
Ngā Pātai Whakamātautau Pūtaiao ā-Motu mō te Kura Tuarua/Kura Tuarua Ihirama
