Ngā papa ā-papa – ngā raruraru me ngā otinga

Ngā papa ā-papa – ngā raruraru me ngā otinga

1. He aha te ōwehenga o te papa tōpana o te mea A me te mea B?

Mōhiotia:

Papatipu o te mea A (m _A ) = 1

Papatipu o te mea B (m _B ) = 2

Te tawhiti o te mea A mai i te aorangi o Papatūānuku (r _A ) = 1

Ko te tawhiti o te mea B mai i te aorangi o Papatūānuku (r _B ) = 2

E hiahiatia ana: Te ōwehenga o te papa tōpana o te mea A me te mea B

Rongoā:

Ko te whārite o te papa tōpana o te Ao:

g = te rahi o te papa tōpana, G = te pūmau tōpana, m _B = te papatipu o Papatūānuku, r _B = te pūtoro o Papatūānuku

Te ōwehenga o te papa tōpana:

karamu _A : karamu _B

G: G/2

1: 1/2

2: 1

2. Mena ko te tūranga o te mea A he 0.5R i runga ake i te mata o te Ao, ko te tūranga o te mea B he 2R i runga ake i te mata o te Ao, he aha te ōwehenga o te papa tōpana e pā ana ki te mea A me te mea B? Ko R te pūtoro o te Ao.

Mōhiotia:

Ko te tawhiti o te mea A mai i te pokapū o Papatūānuku = 0.5R + R = 1.5R = 1.5

Ko te tawhiti o te mea B mai i te pokapū o Papatūānuku = 2R + R = 3R = 3

E hiahiatia ana: Te ōwehenga o te papa tōpana

Rongoā:

Ko te papa tōpana e pāngia ana e te mea A (g _A ):

Ko te papa tōpana e pāngia ana e te mea B (g _B ):

Ko te ōwehenga o te papa tōpana e pāngia ana e te mea A me te mea B:

3. Ko te papa tōpana i te mata o te Ao he g, kāti he aha te papa tōpana i te teitei o te 1.5R i runga ake i te mata o te Ao. R = te pūtoro o te Ao.

otinga

He rite tonu te kaha o te papa taumaha (F) ki te papa taumaha (g). Ka nui ake te kaha o te papa taumaha, ka nui ake te papa taumaha.

He rite tonu te kaha ā-papa (F) ki te 1/r₂ ^, ko r = te tawhiti o tētahi mea mai i te pokapū o te whenua. He rite tonu te kaha ā-papa ki te 1/r₂, ^nō reira he rite anō hoki te āpure ā-papa (g) ki te 1/ ^r₂.

Ina kei runga te kairangi i te mata o te Ao, arā, ko te tawhiti o R (R = te radius o te Ao) mai i te pokapū o te Ao, ko te papa tōpana he g. Ka taea te whakamārama i tēnei mā roto i ngā tātaitanga e whai ake nei:

He ōrite te āpure tōpana (g) ki te 1 / R ^2. Mēnā ko R = 1, ko 1 / R ² = 1/1 ² = 1/1 = 1. Mēnā ko te tawhiti o te kairangi i te pokapū o te whenua = 1, ka pāngia te kairangi e te āpure tōpana o = (g) (1) = g.

Ko te tawhiti o te kairangi i te pokapū o te whenua he 1.5R = 1.5 (1) = 1.5 kātahi ka pāngia te kairangi e te papa tōpana o: 1 / R2 ⁼ 1 / 1.52 ⁼ 1 / 2.25. Nō reira, ki te mea ko te tawhiti o te kairangi i te pokapū o te whenua he 1.5, ko te papa tōpana o te kairangi he = (g) (1 / 2.25) = g / 2.25

4. He aha te ōwehenga o te papa tōpana o te whenua mō ngā mea e rua, tētahi kei te mata o te whenua, tētahi kei te teitei o te ½ R mai i te mata o te whenua (R = te radius o te whenua)?

Mōhiotia:

Te tawhiti o te mea A mai i te pokapū o te whenua (r _A ) = R = 1

Ko te tawhiti o te mea B mai i te pokapū o te whenua (r _B ) = 0.5R + R = 1.5R = 1.5

E hiahiatia ana: Te ōwehenga o te papa tōpana o te whenua

Rongoā:

Ko te papa tōpana o te whenua e pāngia ana e te mea A (g _A ):

Ko te papa tōpana o te whenua e pāngia ana e te mea A (g _B ):

Ko te ōwehenga o te papa tōpana o te whenua e pāngia ana e te mea A me te mea B:

1. He aha te papa ā-papa?
   • whakahoki: Ko te papa ā-papa e tohu ana i te wāhi e karapoti ana i tētahi papatipu, ā, ka pāngia tētahi atu papatipu e te kaha ā-papatipu. He huarahi tēnei hei whakaahua i te awe o ngā mea tetahi ki tetahi mā te kukume ā-papatipu, me te kore e pā tika.
2. He pēhea te rerekētanga o te kaha o te papatipu i a koe e neke atu ana i te papatipu e whakaputa ana i taua papatipu?
   • whakahoki: Ka heke te kaha o te papa tōpana i te tapawhā o te tawhiti mai i te papatipu pūtake. Ina koa, e whai ana i te ture tapawhā-whakamuri: ki te takiruahia te tawhiti, ka huri te kaha o te papa hei hauwhā o tōna kaha tīmatanga.
3. He aha te hononga o te papa ā-papa ki te kaha ā-papa?
   • whakahoki: Ko te kaha o te papa tōpana i tētahi pūwāhi i te wāhi, e tohuhia ana e $g$, e tautuhia ana ko te kaha ā-papatipu (F) mō ia wae papatipu (m) e pāngia ana e tētahi papatipu whakamātautau iti kua whakanohoia ki taua pūwāhi. Mā te pāngarau, $g=F/m$.
4. He pēhea te rerekētanga o te papa tōpana o Papatūānuku i runga i te teitei?
   • whakahoki: I te pikinga ake o te teitei (i a koe e neke atu ana i te pokapū o Papatūānuku), ka heke te kaha o te papa tōpana. Koinei te take e pāngia ai ngā kairangi moana e noho ana i te ara porowhita e te tōpana iti, ahakoa kei roto tonu rātou i te awe o te tōpana o Papatūānuku.
5. He aha te tikanga o te kī he "ārai pūmau" ngā papa tōpana?
   • whakahoki: Ko te tikanga o te mara pūmau ko te mahi i mahia ki runga i tētahi mea e neke ana i waenga i ngā pūwāhi e rua o te mara kāore e pā ki te ara i tangohia. Mō ngā mara ā-papa, ko te tikanga o tēnei ko te mahi i mahia e te kaha ā-papa ki runga i tētahi mea e neke ana i waenga i ngā pūwāhi e rua he rite tonu ahakoa te ara e tangohia ana.
6. Me pēhea te whakakotahitanga o ngā paparanga ā-papatipu o ngā papatipu maha?
   • whakahoki: Ka taupatupatu, ka honoa rānei ngā papa tōpana mai i ngā papatipu maha mā te āhua whārite. I tētahi pūwāhi kua hoatu, ko te papa tōpana hua ko te tapeke whārite o ngā papa tōpana i hangaia e ia papatipu takitahi.
7. He pēhea te pānga o te papatipu o tētahi mea ki te papa tōpana e whakaputaina ana e ia?
   • whakahoki: He rite tonu te papatipu o te kaha ā-papatipu e puta mai ana i tētahi mea ki tōna papatipu. Ka puta he papatipu kaha ake i tētahi mea nui ake.
8. Me pēhea te ine i te kaha o te papa tōpana?
   • whakahoki: Ka inehia te kaha o te papa tōpana i runga i te kaha mō ia wae papatipu. I roto i te pūnaha wae SI, ka inehia i roto i $N/kg$ (Ngā Newton mō ia kirokaramu).
9. Ka taea e ngā papa tōpana te mahi? Mena koinā, me pēhea?
   • whakahoki: Ae, ka taea e ngā papa tōpana te mahi. Ina neke tetahi mea i te ahunga o te papa tōpana (pēnei i te aporo e taka ana ki te Ao), ka mahi te papa tōpana ki runga i te mea, ā, ka heke te kaha pūmanawa tōpana o te mea.
10. He aha te whanaungatanga i waenga i te papa ā-papa me te pūngao pūmanawa ā-papa?

• whakahoki: Ko te pūngao pūmanawa ā-papa ko te pūngao kei roto i tētahi mea nā tōna tūranga i roto i tētahi papa ā-papa. Ko te huringa o te pūngao pūmanawa ā-papa o tētahi mea e pā ana ki te mahi e mahia ana e te kaha ā-papa i te nekehanga o te mea. Ka taea te ahu mai i te papa ā-papa mai i te rōnaki (te tauwehe ā-wāhi rānei) o te pūmanawa ā-papa.