He tauira o ngā pātai mō te pūngao nekeneke

3 Ngā tauira o ngā pātai mō te pūngao nekeneke

1. He ōrite te taumaha o ngā mea A me B, ā, ka neke ia mea i te tere e whakaaturia ana i te ahua i raro nei:
Ko te ōwehenga o te pūngao nekeneke i waenga i te mea A me te mea B ko...

A. 1 : 2
B. 1 : 4
C. 2 : 1
D. 4 : 1

Kōrero

He ōrite te taumaha o ngā taonga A me B. Ko te taumaha o ngā taonga A me B e tohuhia ana e te m.
Tātai pūngao nekeneke:
EK = ½ mv²
Whakaahuatanga: EK = pūngao nekeneke, m = papatipu, v = tere
Pūngao nekeneke o te mea A :
EK_A = ½ mv² = ½ m 2² = ½ mita (4) = 2 mita
Pūngao nekeneke o te mea B :
EK_B = ½ mv² = ½ m 4² = ½ mita (16) = 8 mita
Te whakataurite i te pūngao nekeneke o te mea A me te mea B:
EK_A : EK_B
2 mita: 8 mita
2: 8
1: 4
Ko te whakautu tika ko B.

2. Tirohia te pikitia o te pahi me te motuka e neke ana i raro!
Ko te taumaha o te pahi he 10.000 kg, ā, ko te taumaha o te motuka he 500 kg, nō reira ko te ōwehenga o te pūngao nekeneke o te pahi me te pūngao nekeneke o te motuka he…

A. 2 : 1
B. 4 : 1
C. 5 : 1
D. 20 : 1

Kōrero
Pūngao nekeneke o te pahi:
EK = ½ mv² = ½ (10.000)(10)² = (5000)(100) = 500.000
Pūngao nekeneke o te motuka:
EK = ½ mv² = ½ (500)(20)² = (250)(400) = 100.000
Ko te whakatairite i te pūngao nekeneke o te pahi me te pūngao nekeneke o te motuka koia tēnei:
500.000: 100.000
5: 1
Ko te whakautu tika ko C.

3. Tirohia te pikitia!
He rerekē ngā tere e neke ai tētahi motuka mai i A ki B. Ko te ōwehenga o te pūngao nekeneke o te motuka i te pūwāhi A me te pūwāhi B ko…
A. 1 : 2
B. 1 : 4
C. 2 : 1
D. 4 : 1
Kōrero
Pūngao nekeneke o te motuka i te pūwāhi A:
EK = ½ mv² = ½ mita (10)² = ½ mita (100) = 50 mita
Pūngao nekeneke o te motuka i te pūwāhi B:
EK = ½ mv² = ½ mita (20)² = ½ mita (400) = 200 mita
Ko te whakatairite i te pūngao nekeneke o te motuka i te pūwāhi A me te pūwāhi B koia tēnei:
50 mita: 200 mita
50: 200
1: 4
Ko te whakautu tika ko B.

Pūtake pātai:

Ngā Pātai Whakamātautau Pūtaiao ā-Motu mō te Kura Tuarua/Kura Tuarua Ihirama