Te whakamahinga o te tiaki i te pūngao miihini mō te nekehanga pere - ngā raruraru me ngā otinga

1. Ka wehe atu tētahi whutupōro i te whenua i te koki θ = 30 ^o me te tere tīmatanga o te 10 m/s. Ko te papatipu o te pōro = 0.1 kg. Ko te whakaterenga nā te kaha ā-papatipu he 10 m/s2 ^. Whakatauhia (a) Te kaha pūmanawa ā-papatipu i te pūwāhi teitei rawa (b) Te pūwāhi teitei rawa, te teitei mōrahi rānei

Mōhiotia:

Taumaha (m) = 0.1 kg

Ko te tere tīmatanga (v _o ) = 10 m/s

Koki = 30 ^o

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

Rongoā:

(a) Te pūngao pūmanawa ā-papa

Tātaihia te wāhanga whakapae (v _ox ) me te wāhanga poutū (v _oy ) o te tere tīmatanga.

v_ox = v_o cos θ = (10)(cos 30^o) = (10)(0.5√3) = 5√3 m/s

v _oy = v _o hara θ = (10)(hara 30 ^o ) = (10)( 0.5) = 5 m/s

Te pūngao miihini tuatahi

Ko te pūngao miihini tīmatanga (ME _o ) = te pūngao nekeneke (KE)

ME _o = KE = ½ mv _o ² = ½ (0.1)(10) ² = ½ (0.1)(100) = ½ (10) = 5 Joules

Te pūngao miihini whakamutunga

Pūngao nekeneke i te pūwāhi teitei rawa:

KE = ½ mv _ox ² = ½ (0.1)(5√3) ² = ½ (0.1)((25)(3)) = ½ (0.1)(75) = 3.75 Joules

Te mātāpono o te tiaki i te pūngao miihini

Ko te pūngao miihini tīmatanga (ME₂o ₎ = te pūngao miihini whakamutunga ( _ME₂t )

KE = PE + KE

5 = EP + 3.75

PE = 5 – 3.75 = 1.25 Joule

Ko te pūngao pūmanawa ā-papa i te pūwāhi teitei rawa ko 1.25 Joules.

(b) Te pūwāhi teitei rawa, te teitei mōrahi rānei

PE = mgh

1.25 = (0.1)(10) hāora

1.25 = hāora

Ko te teitei mōrahi he 1.25 mita.

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2. Ka tukuna whakapaetia tētahi pōro 0.1-kg te taumaha, ko te tere tīmatanga v _o = 10 m/s mai i tētahi whare e 10 mita te teitei. Ko te whakaterenga nā te kaha ā-papatipu he 10 m/s2 ^. Tātaihia te pūngao nekeneke o te pōro ina pā ki te whenua.

Mōhiotia:

Taumaha (m) = 0.1 kg

Te tere tīmatanga (v _o ) = 10 m/s

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

Ko te panonitanga o te teitei (h) = 10 – 2 = 8 m

E hiahiatia ana: te pūngao nekeneke i te 2 mita i runga ake i te whenua

Rongoā:

Ko te pūngao pūmanawa ā-papa (PE) = mgh = (0.1)(10)(10) = 10 Joule

Ko te pūngao nekeneke tīmatanga (KE)= ½ mv _o ² = ½ (0.1)(10) ² = ½ (0.1)(100) = ½ (10) = 5 Joule

Ko te pūngao nekeneke whakamutunga = te pūngao pūmanawa ā-papa tuatahi + te pūngao nekeneke tuatahi = 10 + 5 = 15 Joule

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1. Ngā raruraru me ngā otinga mō te mahi i mahia mā te kaha
2. Ngā raruraru me ngā otinga mō te pūngao mahi-nekeneke
3. Ngā raruraru me ngā otinga o ngā mātāpono mahi-pūngao miihini
4. Ngā raruraru me ngā otinga o te pūngao pūmanawa ā-papa
5. Te pūngao pūmanawa o ngā raruraru me ngā otinga o te puna rapa
6. Ngā raruraru hiko me ngā otinga
7. Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga hinga noa
8. Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga ki runga, ki raro hoki i te nekehanga hinga noa.
9. Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga i runga i te mata piko
10. Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga i runga i te paparangi piko
11. Te whakamahinga o te tiaki i te pūngao miihini mō te nekehanga pere