Te tātai mō te ture tiaki i te pūngao miihini, te pūngao pūmanawa o te puna, ngā mīhini māmā

Ngā tauira pātai me ngā tātai mō te ture tiaki i te pūngao miihini, te pūngao pūmanawa o te puna, ngā mīhini māmā

Te ture tiaki i te pūngao miihini

1. He pūngao ā-pūkaha pumau tō te mea, he pūngao nekeneke e piki haere ana, ā, he pūngao pūmanawa ā-papa e heke ana. Kei roto te mea i te āhua o….

1. diam
2. neke ake
3. neke ki raro
4. te neke haere ki runga i te tere haere

Kōrero
Ka nui ake te pūngao nekeneke, ka nui ake te tere o te mea, ā, ka iti ake te pūngao pūmanawa ā-papa, ka iti iho te teitei o te mea i runga ake i te whenua. Ka puta tēnei ina neke te mea mai i tētahi teitei ki raro ki te whenua.

Ko te whanaungatanga i waenga i te tere me te pūngao nekeneke e whakaaturia ana e te tātai pūngao nekeneke:
EK = ½ mv²
Whakaahuatanga tātai: EK = pūngao nekeneke, m = papatipu, v = tere

Ko te whanaungatanga i waenga i te teitei me te pūngao pūmanawa ā-papa e whakaaturia ana e te tātai pūngao pūmanawa ā-papa:
EP = mgh
Whakaahuatanga tātai: EP = pūngao pūmanawa ā-papatipu, m = papatipu, g = whakaterenga ā-papatipu, h = teitei
Ko te whakautu tika ko C.

Mīhini māmā
2. Ko te ōwehenga o te roa a me te b i roto i te hoahoa kauwhata o tētahi mīhini māmā ko a : b = 1 : 2,2. Ko te uara iti rawa o te kaha F hei hiki i te kawenga B e 330 Newton te taumaha ko…. Newton

1. 100
2. 150
3. 2200
4. 7260

Kōrero
E mōhiotia ana:
Roa a = ringa kawenga (l)_B) = 1
Roa b = ringa kaha (l_F) = 2,2
Te kaha taumaha (w) = 330 Newton
I pātaihia: Te kaha whakapūmau (F)
Whakautu:
Ko te tātai mō te painga ā-pūkaha o tētahi mīhini rīwhi māmā:
KM = w / F = l_F / l_B
Ngā Mōhiohio:
KM = painga ā-mīhini, w = kaha ā-papa, F = kaha ā-papa, l_F = ringa kaha, l_B = ringa kawenga
 
w / F = l_F / l_B
330 / F = 2,2 / 1
330 / F = 2,2
330 / 2,2 = F
F = 150 Newton
Ko te whakautu tika ko B.

3. Tirohia te pikitia kei te taha. Ka nekehia e tētahi tauira tētahi mea mai i te pūwāhi A ki te pūwāhi B me te kaha F e whakaaturia ana i te pikitia. Mēnā ka kore e arohia te waku i waenganui i te mea me te papa, ko te painga ā-pūkaha o te mahi ko….

1. 4
2. 5/3
3. 5/4
4. 3/4

Kōrero
E mōhiotia ana:
Ko te teitei o te papa whakarara (y) = 4 mita – 1 mita = 3 mita
Te roa o te horahanga papatahi (x) = 4 mita
I pātaihia: Painga ā-pūkaha (MC) o te papa whakarara
Whakautu:
Tātaihia te roa o te papa whakarara mā te whakamahi i te tātai Pythagorean:
R = √3²+4² = √9+16 = √25 = 5 mita
Ngā painga ā-pūkaha o te papa whakarara:
KM = R / y
KM = 5 mita / 3 mita
KM = 5/3
Ko te whakautu tika ko B.

Pūngao Pūmanawa o te Koanga

4. Ka whakamahia e te papa ruku he turanga puna hei pana ki runga mā te kaitākaro kia tīmata ai te peke. Ina peke te kaitākaro ki runga me te kaha o te 500 N, ka whakapotohia te puna mā te 4 cm. Ko te nui o te pūngao pūmanawa e whakaratohia ana e te puna hei pana i te kaitākaro ko….

1. 20 joule
2. 10 joule
3. 5 joule
4. 2 joule

Kōrero
E mōhiotia ana:
Te kaha (F) = 500 N
Te panonitanga o te roa o te puna (Δx) = 4 cm = 0,04 m
I pātaihia: Pūngao pūmanawa o te puna
Whakautu:
Tuatahi, tatauhia te pūmau rapa o te puna mā te whakamahi i te tātai ture a Hooke:
k = F / Δx = 500 N / 0,04 m = 12500 N/m
Ko te pūngao pūmanawa rapa o te puna ko:
EP = ½ k Δx² = ½ (12500)(0,04)² = (6250)(0,0016)
EP = 10 Joule
Ko te whakautu tika ko B.

Pūtake pātai:

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