Ngā Tauira Pātai mō te Wai Pūmau

15 Ngā Tauira o ngā Raru Wai Pūmau

Pēhanga Wairewa

1. Ko te rerekētanga o te pēhanga wai o te toto i waenga i te roro me ngā kapu o ngā waewae o te tangata he 165 cm te roa ko…. (Me kī ko te mātotoru o te toto he 1,0 × 103 ^kg /m3 ^me te karamu = 10 m/ ^s2 )

A. 1,65 × 102 ^N / ^m2

B. 1,65 × 103 ^N / ^m2

C. 1,65 × 104 ^N / ^m2.

D. 0,83 × 104 ^N / ^m3

E. 0,83 × 103 ^N / ^m2

Kōrero

E mōhiotia ana:

Whakahuatia ngā waeine katoa o te Pūnaha Ao Whānui

Teitei (h) = 165 henimita = 165/100 mita = 1,65 mita

Te mātotoru toto ( ρ) = 1,0 × 103 ^kg / ^m3

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

I pātaihia: Te pēhanga waipū

Whakautu:

Ngā Waka Honohono

2. Tirohia te pikitia e whai ake nei:

Ka whakakīia tuatahitia he ngongo-U ki te wai, ko te mātotorutanga he 1000 kg.m ^-3 , kātahi ka ringihia te hinu tunu ki roto i tētahi o ngā ngongo kia rite te āhua o te tūnga pumau ki te pikitia. Mena he 8 cm te teitei o te pou hinu, ā, he 5 cm te pou wai, ko te mātotorutanga o te hinu tunu he...

A. 520 kg.m^-3

B. 525 kg.m ^-3

C. 600 kg.m ^-3

D. 625 kg.m ^-3

E. 720 kg.m ^-3

Kōrero

E mōhiotia ana:

Te mātotoru o te wai = 1000 kg.m ^-3

Teitei o te wai = 5 cm

Teitei o te hinu tunu kai = 8 cm

Pātai: Te matotoru o te hinu tunu kai

Whakautu:

Ko te whakautu tika ko D.

Pupuhi

3. Kei roto i tētahi wai he 1,5 karamu cm ^–3 te matotoru o tētahi kōhatu, ā, ko tōna rahinga he 0,5 m ^3. Mena ko te whakaterenga nā te kaha ā-papatipu = 10 m s –2 ^, ka pāngia te kōhatu e te kaha whakarunga o…..

A. 1.500 N

B. 3.000 N

C. 4.500 N

D. 7.500 N

E. 9.000 N

Kōrero

E mōhiotia ana:

Te rōrahi o te kōhatu (V) = 0,5 ^m3

Te mātotorutanga wai ( ρ) = 1,5 karamu cm ^–3 = 1500 kg m ^-3

Te whakaterenga nā te kaha ā-papa (g) = 10 ms ^-2

Pātai: Te kaha pōrewarewa (FA ₎ e pāngia ana e te kōhatu

Whakautu:

Ko te whakautu tika ko D.

Ngā Mea e Mānu ana

4. He rite te āhua o tētahi wahi huka e mānu ana i te moana ki te pikitia. Mēnā ko te matotoru o te wai moana he 1,2 karamu henimita ^–3 , ā, ko te matotoru o tētahi wahi huka he 0,9 karamu henimita ^–3 , ko te rōrahi o tētahi wahi huka e rumakina ana (e tomo ana) ki te wai moana he rite ki… te rōrahi e puta mai ana.

A. 2 ngā wā

B. 3 ngā wā

C. 4 wā

D. 5 ngā wā

E. 6 ngā wā

Kōrero

E mōhiotia ana:

Ko te mātotoru o te wai moana ( ρ _moana ) = 1,2 karamu cm ^–3

Kiato o te hukapapa (ρ _es ) = 0,9 gr c ^–3

Pātai: He rite te rōrahi o te hukapapa e rumakina ana ki te wai moana ki te rōrahi e puta mai ana.

Whakautu:

Nō reira, ko te rōrahi o te hukapapa e rumakina ana ki te wai moana he rite ki te 3 whakarea o te rōrahi e puta mai ana (3 x 0,25 = 0,75).

Ko te whakautu tika ko B.

5. E mānu ana tētahi mea i roto i tētahi wai, ā, e rua hautoru o te mea kei roto i te wai. Mēnā ko te matotoru o te mea he 0,6 karamu cm ³ , ko te matotoru o te wai he….

A. 1.800 kg ^m²

B. 1.500 kg ^m²

C. 1.200 kg ^m²

D. 900 kg ^m²

E. 600 kg ^m²

Kōrero

E mōhiotia ana:

Wāhanga o te mea e totohu ana = 2/3

Te mātotoru o te mea = 0,6 karamu henimita ⁼ 600 kg ^m³

Pātai: Te mātotoru o te wai (x)

Whakautu:

He ōrite te wāhanga o te mea e rumakina ana ki te ōwehenga mātotoru:

Ko te mātotoru o te wai he 900 kg m ³

Ko te whakautu tika ko D.

6. Ka mānu tetahi wahi rakau, ā, ka rukuhia te 3/5 o tōna wāhanga ki te wai. Mena ko te mātotoru o te wai he 1 × 10⁻¹ ^kg /m⁻¹ ^, ko te mātotoru o te rakau he…

A. 2 × 10 ² kg/m ³

B. 4 × 10 ² kg/m ³

C. 6 × 10 ² kg/ m ³

D. 8 × 10 ² kg/m ³

E. 10 × 10 ² kg/m ³

Kōrero

E mōhiotia ana:

Wāhanga o te mea e totohu ana = 3/5

^{Te mātotoru} o te wai = 1×103 ^kg /m3 = 1000 kg/ ^m3

Pātai: Te mātotoru o te rakau (x)

Whakautu:

He ōrite te wāhanga o te mea e rumakina ana ki te ōwehenga mātotoru:

Ko te mātotoru o te rakau he 600 kg/m³ ⁼ 6 x 102 ^kg / ^m³

Ko te whakautu tika ko C.

7. Tirohia te pikitia poraka e whai ake nei!

E rua ngā wai rerekē e rumakina ana tētahi poraka. Ina rumakina ki te wai A, ka rumakina te 0,6 o te poraka. Ina rumakina ki te wai B, ka rumakina te 0,5 o te poraka. Ko te ōwehenga o ngā mātotorutanga o ngā wai A me B ko…

A. 1 : 1

B. 4 : 5

C. 5 : 4

D. 5 : 6

E. 6 : 5

Kōrero

E mōhiotia ana:

Te mātotoru o te poraka = x

Ko te wāhanga o te mea e rumakina ana ki te wai A = 0,6

Te mātotorutanga wai A = y

Ko te wāhanga o te mea kua rumakina ki te wai B = 0,5

Te mātotoru wai B = z

Pātai: Te whakataurite i te mātotoru o ngā wai A me B (y : z)

Whakautu:

Ko te wāhanga o tētahi mea e rumakina ana ki roto i tētahi wai he ōrite ki te ōwehenga o te mātotoru o te mea ki te mātotoru o te wai.

Whakakapia a x i te whārite 2 ki a x i te whārite 1 :

Ko te whakautu tika ko D.

8. Tirohia te pikitia!

Ka mānu tētahi mea ina whakanohoia ki roto i te wai P, me te haurua o tōna rōrahi i raro i te mata o te wai, ā, ina whakanohoia ki roto i te wai Q ka mānu te mea. Ko te ōwehenga o ngā mātotorutanga o ngā wai P me Q ko…

A. 1 : 2

B. 2 : 1

C. 2 : 3

D. 3 : 1

E. 3 : 4

Kōrero

E mōhiotia ana:

Te mātotoru o te mea = x

Ko te wāhanga o te mea kua rumakina ki te wai P = 1/2 = 0,5

Te mātotorutanga wai P = y

Ko te wāhanga o te mea e rumakina ana ki te wai Q = 1 (kua rumakina ngā wāhanga katoa o te mea)

Te mātotoru o te wai Q = z

Pātai: Te whakataurite i te mātotoru o ngā wai P me Q (y : z)

Whakautu:

Ko te wāhanga o tētahi mea e rumakina ana ki roto i tētahi wai he ōrite ki te ōwehenga o te mātotoru o te mea ki te mātotoru o te wai.

Whakakapia a x i te whārite 2 ki a x i te whārite 1 :

Ko te whakautu tika ko B.

9. Ka mānu tetahi wahi rakau i roto i te hinu (kiato = 800 kg.m ^-3 ) kia tae rā anō ki te 4/5 o tōna rōrahi kei roto i te hinu, kātahi ko te kiato o te rakau ko....

A. 16 kg.m ^-3

B. 64 kg.m ^-3

C. 160 kg.m ^-3

D. 270 kg.m ^-3

E. 640 kg.m ^-3

Kōrero

E mōhiotia ana:

Te mātotoru hinu ( ρ) = 800 kg.m ^-3

Wāhanga o te mea e totohu ana = 4/5

I pātaihia: Te matotoru o te rakau

Whakautu:

He ōrite te wāhanga o te mea e rumakina ana ki te ōwehenga mātotoru:

Ko te mātotoru o te rakau he 640 kg/ ^m3.

Ko te whakautu tika ko E.

10. E 50 N te taumaha o tētahi poraka i te rangi. Ina paunatia ki te wai, ka 30 N tōna taumaha. Mena ko te mātotoru o te wai = 103 ^kg.m -3 ^, ko te mātotoru o te poraka ko...

A. 1500 kg.m ^-3

B. 2000 kg.m ^-3

C. 2500 kg.m ^-3

D. 3000 kg.m ^-3

E. 4000 kg.m ^-3

Kōrero

E mōhiotia ana:

Taumaha o te poraka i te hau (w) = 50 N

Taumaha o te poraka i roto i te wai (w _wai ) = 30 N

Te mātotoru o te wai ( ρ _wai ) = 103 kg.m ^{-3 =} 1000 kg.m ^-3

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

Taumaha o te poraka i te hau (m) = w/g = 50/10 = 5 kg

Pātai: Te mātotoru o te poraka ( _poraka ρ )

Whakautu:

Tātaihia te kaha pōrewarewa:

F _A = ​​​​w – w _wai = 50 – 30 = 20 N

Tātaihia te rōrahi o tētahi poraka kua rukuhia ki te wai mā te whakamahi i te tātai kaha pōrewarewa:

F _A = ​​​​ρ g V

20 = (1000)(10) V

20 = (10.000) V

V = 20/10.000

V = 0,002 ^m3

Tātaihia te mātotoru o te poraka:

ρ = m/V = 5/0,002 = 2500 kg/m ³

Ko te whakautu tika ko C.

Pēhanga wai

11.
Tirohia te pikitia e whai ake nei! Ko te whakaterenga nā te kaha ā-papatipu he 10 N/kg, mēnā ko te horahanga whakawhiti o te ika e pēhia ana e te wai i runga ake ko te 6 cm.², kātahi ko te kaha e pēhi ana i te ika i te wai i runga ake i a ia ko….

1. 5,1 N
2. 85 N
3. 8500 N
4. 8600 N

Kōrero
E mōhiotia ana:
Te whakaterenga nā te kaha ā-papa (g) = 10 N/kg
Te horahanga whakawhiti-wāhanga o te ika (A) = 6 cm² = 6x10^-4 m²
Te mātotoru o te wai = 1 karamu/cm³ = 1 (10^-3 kg) / 10^-6 m³ = 10³ kg / m³ = 1000 kg/m³
Teitei o te wai = 100 henimita – 15 henimita = 85 henimita = 85 x 10^-2 mita
I pātaihia: Te kaha e pana ana i te ika i te wai i runga ake
Whakautu:
Ko te whakautu tika ko A.

Te kaha o te pūwero me te kukū mata o ngā wai

12. Ko te iti o te pata wai, ko te tata atu o tōna āhua ki tētahi porowhita. Mō tētahi rōrahi kua hoatu, ka taea te whakamātau ko te porowhita te mea iti rawa te horahanga mata ki ērā atu āhua. Ko te ariā o te pata wai e whakatata atu ana ki tētahi porowhita e pā ana ki te ariā o…

1. Kiato
2. Te piri me te hononga
3. Te taumahatanga o te mata
4. Te meniscus me te capillary

Kōrero
E pā ana te āhua porowhita o ngā pata wai ki te ariā o te kume o te mata. I roto i te pāngarau, ko te kume o te mata te kaha mō ia wae roa. Ko te kaha e pā ana ki tēnei ko te piri. Ko te piri ko te kukume i waenga i ngā ngota rite, ko te piri ia ko te kukume i waenga i ngā ngota rerekē.
Ko te kaha piripono kaha ake i waenga i ngā ngota wai me te kaha piri ngoikore i waenga i ngā ngota wai me ngā ngota hau, i ētahi atu ngota rānei, ka kukumea ngā ngota wai katoa ki a rātou anō, ka huihui. Ka kukumea e ngā ngota wai i roto i te pata wai ngā ngota wai o waho kia tata atu ki a rātou anō. He ngoikore ake te kaha piripono o ngā ngota wai o waho, nō reira ka ngāwari te kukume tata atu ki a rātou anō. Ā, ko te āhua o te pata wai e hangaia ana he rite ki te pōro. I roto i tēnei tukanga, ka āhua pēpeke te mata o te pata wai nā te kaha kukume i waenga i ngā ngota wai.
Ko te whakautu tika ko C.

13. Ko te pikinga ake o te wai i roto i te ngongo kapia nā te mea...

1. Ka taea e te kaha piri i waenganui i te wai me te karāhe te kukume i te wai ki runga
2. ka taea e te kaha piripono i waenga i te wai me te karāhe te kukume i te wai ki runga
3. te noho o te kaha o Ākirīmete
4. he tino iti te pēhanga wai i runga i te mata o te wai i roto i te ngongo capillary

Kōrero
Ka ara ake te wai i roto i te ngongo kapia nā te mea he nui ake te kaha piri i waenga i ngā ngota wai me ngā ngota ngongo kapia i te kaha piri i waenga i ngā ngota wai. Nō reira, ka taea e te kaha piri nui i waenga i ngā ngota wai me ngā ngota ngongo kapia te kukume i te wai ki runga.
Ka taea te whakamahi i te ngongo karāhe, i te miki oumu, me ētahi atu mea anō hoki hei ngongo pūwero.
Ko te whakautu tika ko A.

Te Puawai me te Ture a Archimedes

14. He kaipuke e rere ana i te moana e tomo ana ki tētahi awa whānui, hōhonu hoki. Mēnā ko te mātotoru o te wai moana he 1100 kg/m³ ^, ko te mātotoru o te wai māori he 1000 kg/m³ ^, ko te ōwehenga o te kaha o Archimedes e pā ana ki te kaipuke i te moana me te awa ko….

1. 11: 10
2. 10: 11
3. 121: 100
4. 1: 1

Kōrero
E mōhiotia ana:
I pātaihia: Te whakataurite i te ope a Akimides i pā ki ngā kaipuke i te moana me ngā awa
Whakautu:
Mena ka mānu te mea, ka piki te kaha pōturi (F)_A) = te kaha ā-papatipu (w) :
E ai ki te ture a Ākirīmete, ko te kaha pōrewarewa e pā ana ki tētahi mea e rumakina ana ki roto i tētahi wai (wai) he ōrite ki te taumaha o te wai (wai) e nekehia ana e ia. Ko te rōrahi o tētahi mea e rumakina ana ki roto i tētahi wai (wai) he ōrite ki te rōrahi o te wai (wai) e nekehia ana.

Te whakataurite i te rōrahi o ngā mea e rumakina ana ki te wai moana me te wai awa:
Ko te whakautu tika ko B.

15. Kei te rumakina tētahi poraka rakau ki te wai. E 25% o te wāhanga kei runga ake i te mata o te wai, ā, 75% kei roto i te wai. Mēnā ko te mātotoru o te wai he 1 karamu/cm ³ , ā, ko te whakateretere o te kaha ā-papa he 10 m/s ² , ko te mātotoru o te poraka rakau ko….

1. 0,025 kg / m³
2. 0,075 g / cm³
3. 0,250 kg / m³
4. 0,750 g / cm³

Kōrero
E mōhiotia ana:
Ko te wāhanga o te poraka kei runga ake i te mata o te wai = 25% = 25/100 = 0,25
Ko te wāhanga o te poraka e rumakina ana ki te wai = 75% = 75/100 = 0,75
Te mātotoru o te wai = 1 karamu/cm³ = 1000 kg/m³
Te whakaterenga nā te kaha ā-papatipu = 10 m/s²
I pātaihia: Te matotoru o ngā poraka rakau
Whakautu:
Ko te rōrahi o tētahi poraka e rumakina ana ki te wai = te ōwehenga o te mātotoru o te poraka ki te mātotoru o te wai
Ko te whakautu tika ko D.

 

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