Te hihiri – ngā raruraru me ngā otinga

Te hihiri – ngā raruraru me ngā otinga

1. Ka taka noa tētahi pōro 0.5 kg te taumaha mai i te teitei o h1 ₌ 7.2 mita, ā, ka whakaata i te teitei o h2 ₌ 3.2 mita. Te whakaterenga nā te kaha ā-papatipu = 10 m/s2 ^. Tātaihia te panapana.

Mōhiotia:

Taumaha o te pōro (m) = 0.5 kg

Teitei tuatahi (h1 ₎ = 7.2 mita

Teitei tuarua (h ₂ ) = 3.2 mita

Te whakaterenga nā te kaha ā-papa (g) = 10 m/s ²

E hiahiatia ana: Te hihiri (I)

Rongoā:

Te tere o te pōro i mua i ngā tukinga (v _o )

Te tere o te pōro i mua i te tukinga i tatauhia mā te whakamahi i te whārite o te nekehanga hinga noa. Mōhiotia: Teitei (h) = 7.2 mita, te whakaterenga nā te kaha ā-papa (g) = 10 m/s2 ^. E hiahiatia ana: Te tere whakamutunga i muri i te tukinga.

v ² = 2 gh

v _o ² = 2(10)(7.2) = 144

v _o = 2(10)(7.2) = 12 m/s

Te tere o te pōro i mua i te tukinga (v _o ) = -12 m/s. Ko te tohu tango e tohu ana i te ahunga o te pōro.

Te tere o te pōro i muri i te tukinga ( _vt )

^{Te tere o te pōro i muri i te tukinga i tatauhia mā te} whakamahi i te whārite o te nekehanga poutū. E mōhiotia ana : teitei (h) = 3.2 mita, te whakaterenga nā te kaha ā-papa (g) = -10 m/s² ^, te tere whakamutunga i te teitei mōrahi (vt² ₎ = 0. E hiahiatia ana: Te tere tīmatanga i muri i te tukinga i waenganui i te pōro me te papa.

vt ₂ = v _o ^{2 + 2} gh

0 = v _o ² + 2 (-10)(3.2)

v _o ² = 64

v _o = √64 = 8 m/s

Ko te tere o te pōro i muri i te tukinga (vt ₎ he 8 m/s

Ārai (I)

Impulse (I) = te huringa o te nekehanga (Δp)

I = m (v _t – v _o ) = (0.5)(8-(-12)) = (0.5)(8 + 12) = (0.5)(20) = 10 hēkona Newton

2. Ka taka noa tētahi pōro 5-karamu mai i tētahi teitei ka pā ki te papa. Te whakaterenga nā te kaha ā-papa, g = 10 ms ^-2 . Ko te tere o te pōro i mua i te tukinga he 6 ms ^-1 , ā, i muri i te tukinga, ka whakaatahia te pōro ki runga i te 4 m/s. Tātaihia te nekehanga.

Mōhiotia:

Taumaha o te pōro (m) = 5 karamu = 0.005 kg

Te tere o te pōro i mua i te tukinga (v _o ) = -6 m/s

Te tere o te pōro i muri i te tukinga (vt ₎ = 4 m/s

E tohu ana ngā tohu tāpiri me ngā tohu tango ko te ahunga i mua i te tukinga he ritenga kē ki te ahunga i muri i te tukinga.

E hiahiatia ana: Te hihiri (I)

Rongoā:

Impulse (I) = te huringa katoa o te nekehanga (Δp).

I = Δp = mv _t – mv _o = m (v _t – v _o )

I = (0.005)(4 – (-6)) = (0.005)(4 + 6) = (0.005)(10) = 0.05 Neutona hekona

3. He pōro e 20 karamu te taumaha e whiua ana me te tere o te 4 ms ^-1 ki te taha maui. I muri i te tukinga ki te pakitara, ka whakaatahia te pōro me te tere o te v ₂ = 2 ms ^-1 ki te taha matau. Tātaihia te pana.

Mōhiotia:

Taumaha o te pōro (m) = 20 karamu = 0.020 kg

Te tere o te pōro i mua i te tukinga (v _o ) = -4 m/s (ki te taha mauī)

Te tere o te pōro i muri i te tukinga (v _t ) = +2 m/s (ki te taha matau)

Ko ngā tohu tāpiri me ngā tohu tango e tohu ana i te ahunga whakamuri.

E hiahiatia ana: Te hihiri

Rongoā:

Impulse (I) = te huringa o te nekehanga (Δp) = _mvt – _mvo

Ārai (I) = m (vt _– vo ₎ = 0.02 (2 – (-4))

Ārai (I) = 0.02 (2 + 4) = 0.02 (6)

Ārai (I) = 0.12 hēkona Newton.

4. He pōro 2 kg te taumaha e neke ana i te 5 m/s e pā ana ki te pakitara, ā, ka peke whakamuri me te tere o te -5 m/s. Kimihia te iri e pā ana ki te pōro.
Otinga: Ārai = huringa o te nekehanga = m(v₂ – v₁) = 2(-5 – 5) = -20 kg m/s

5. Ka pāngia tētahi mea 3 kg e te kaha o te 6 N mō te 4 hēkona. He aha te nekehanga e pāngia ana e te mea?
Otinga: Ārai = FΔt = 6 × 4 = 24 N s

6. Kei te okioki tetahi mea 0.5 kg te taumaha, kātahi ka whakaterea ake e te nekehanga o te 10 N·s. He aha te tere whakamutunga?
Otinga: Tere whakamutunga = Ārai / papatipu = 10 / 0.5 = 20 m/s

7. Ka pā te nekehanga 30 N·s ki tētahi mea 6 kg te taumaha. He aha te panoni o te tere?
Otinga: Δv = Ārai / papatipu = 30 / 6 = 5 m/s

8. Ka aukatia tētahi pōro 100 karamu e neke ana i te 3 m/s te tere e te nekehanga. He aha te uara o te nekehanga?
Otinga: Ārai = m(v₂ – v₁) = 0.1(0 – 3) = -0.3 kg m/s

9. Ka pāngia tētahi mea 2 kg e te kaha 4 N mō te 5 hēkona. Kimihia te iri.
Otinga: Ārai = FΔt = 4 × 5 = 20 N s

10. Kei te neke tetahi mea he 3 kg te taumaha i te tere 3 m/s, ā, ka tū ia nā te mea he panapana. Kimihia te panapana.
Otinga: Ārai = m(v₂ – v₁) = 3(0 – 3) = -9 kg m/s

11. Ka pāngia tētahi mea 5 kg e te kaha o te 2 N mō te 3 hēkona. He aha te iripiri?
Otinga: Ārai = FΔt = 2 × 3 = 6 N s

12. Ka pā te nekehanga 8 N·s ki tētahi mea 4 kg te taumaha. He aha te panoni o te tere?
Otinga: Δv = Ārai / papatipu = 8 / 4 = 2 m/s

13. Ka pā tētahi pōro 1 kg te taumaha e neke ana i te 2 m/s ki tētahi pakitara, ā, ka huri tōna ahunga i te tere kotahi. Kimihia te ine i pā ki te pōro.
Otinga: Ārai = m(v₂ – v₁) = 1(-2 – 2) = -4 kg·m/s

14. Ka pāngia tētahi mea 4 kg e te kaha 3 N mō te 3 hēkona. Kimihia te iri.
Otinga: Ārai = FΔt = 3 × 3 = 9 N s

15. Ka pā te nekehanga 10 N·s ki tētahi mea 2 kg te taumaha. He aha te panoni o te tere?
Otinga: Δv = Ārai / papatipu = 10 / 2 = 5 m/s

16. Ka pāngia tētahi mea 3 kg e te kaha o te 5 N mō te 2 hēkona. He aha te nekehanga e pāngia ana e te mea?
Otinga: Ārai = FΔt = 5 × 2 = 10 N s

17. Kei te neke tetahi mea he 4 kg te taumaha i te tere 5 m/s, ā, ka tū ia nā te mea he panapana. Kimihia te panapana.
Otinga: Ārai = m(v₂ – v₁) = 4(0 – 5) = -20 kg m/s

18. Ka pāngia tētahi mea 2 kg e te kaha 6 N mō te 3 hēkona. Kimihia te iri.
Otinga: Ārai = FΔt = 6 × 3 = 18 N s

19. Ka pā te nekehanga 12 N·s ki tētahi mea 3 kg te taumaha. He aha te panoni o te tere?
Otinga: Δv = Ārai / papatipu = 12 / 3 = 4 m/s

20. Ka pāngia tētahi mea 5 kg e te kaha o te 1 N mō te 4 hēkona. He aha te iripiri?
Otinga: Ārai = FΔt = 1 × 4 = 4 N s

21. Ka pā te nekehanga 15 N·s ki tētahi mea 5 kg te taumaha. He aha te panoni o te tere?
Otinga: Δv = Ārai / papatipu = 15 / 5 = 3 m/s

22. Ka aukatia tētahi pōro 3 kg e neke ana i te tere 4 m/s e tētahi nekehanga. He aha te uara o te nekehanga?
Otinga: Ārai = m(v₂ – v₁) = 3(0 – 4) = -12 kg m/s

23. Ka pāngia tētahi mea 2 kg e te kaha 5 N mō te 1 hēkona. Kimihia te iri.
Otinga: Ārai = FΔt = 5 × 1 = 5 N s

1. He aha te hihiri?
   • whakahoki: Ko te nekehanga te hua o te kaha me te wā e pā ai ki tētahi mea. E tohu ana i te huringa o te nekehanga o te mea, ā, e homai ana e te tātai. $\text{Tuhinga}=F\times \Delta t$.
2. He aha te hononga o te hihiri ki te tere?
   • whakahoki: He ōrite te nekehanga o te mea ki te panonitanga o te nekehanga o tētahi mea. Mēnā ka pāngia tētahi mea e te nekehanga, ka rerekē anō tōna nekehanga i taua nui anō.
3. He aha i haumaru ake ai te tau ki runga i te whāriki ngohengohe i te papa mārō ina peke atu i te teitei?
   • whakahoki: Mā te whāriki ngohengohe ka roa ake te wā e pau ana ki te whakamutu i te pekepeke, ki te whakaritea ki te papa mārō. Ko te tikanga o te roa o te wā whakamutu he iti ake te kaha toharite e pā ana ki te pekepeke, ka whakaiti i te tūponotanga o te whara. Ka hua ake i tēnei wā roa he iti ake te kaha engari he rite tonu te pana.
4. He pēhea te mahi a ngā pēke hau i roto i ngā waka e pā ana ki te nekehanga tere?
   • whakahoki: Ka tere te pupuhi o ngā pēke hau i te wā e tukinga ana, ka roa ake te wā e kore ai te nekehanga o te tangata. Mā te whakanui ake i te wā o te kaha (te whakaroa), ka whakaitihia te kaha toharite e pā ana ki te tangata, ka whakaitihia te tūponotanga o te whara.
5. He aha ngā kaitākaro pēihipōro ka "whai tonu" ai i te wā e patu ana i te pōro?
   • whakahoki: Mā te whai i te pōro ka roa ake te wā e pā ai te patu ki te pōro. Mā te roa o te wā e pā ai te pōro ka nui ake te kaha o te pana, ka nui ake te huringa o te nekehanga o te pōro, ā, ka kaha ake pea te whiu.
6. He aha i te nuinga o te wā ka tākaihia ngā taonga e kawehia ana ki ngā rauemi whakaruruhau?
   • whakahoki: Mā ngā rauemi whakaruruhau, pērā i te pahuka, te takai mirumiru rānei, ka roa ake te wā e mutu ai te mea ina pāngia e te kaha (hei tauira, i te wā e tū ohorere ana, e taka ana rānei). Ka whakaitihia te kaha toharite ki runga i te mea mō tētahi nekehanga kua hoatu, ā, ka āwhina i te ārai i te kino.
7. Me pēhea te whakamārama a te hihiri i te pānga o te pōro poitūkohu me te kaha ake?
   • whakahoki: Mā te kaha ake e tāpirihia ana i te pōro i te wā e pōro ana i te pōro, ka nui ake te huringa o te nekehanga o te pōro. Ko te tikanga ka pōro te pōro me te tere teitei ake.
8. Mō te hihiri, he aha i kīia ai ki ngā kaitākaro kia "hurihuri" ina hinga?
   • whakahoki: Mā te hurihuri i te wā e hinga ana ka roa ake te huringa o te nekehanga. Ko te tikanga o tēnei ka whakaitihia te kaha toharite e pā ana ki te tinana o te kaitākaro, ka whakaitihia te tūponotanga o te whara.
9. Mena ka pā ngā kaha e rua, he rerekē te rahi, ki runga i tētahi mea mō te roanga ōrite, ka pēhea te whakataurite i ō rāua aukume?
   • whakahoki: Ko te hihiri te hua o te kaha me te wā. Nā te mea he rite te roanga o te wā mō ngā kaha e rua, ka nui ake te hihiri o te kaha nui i te hihiri o te kaha iti.
10. He aha ngā kaitākaro korowha e whakamahi ai i te nekehanga "piu" i te wā e patu ana i te pōro korowha, e ai ki te hihiri?

• whakahoki: Mā te nekehanga piu ka roa ake te wā e pā ai te karapu korowha me te pōro. Mā te roa o te wā e pā ai ka nui ake te nekehanga ka tukuna ki te pōro, ka nui ake te huringa o te nekehanga o te pōro, ā, ka roa ake te pana.