9 Ngā Tauira o Ngā Pātai Kiato
1. Ko te rōrahi o tētahi mea he 8 cm 3 , ā, ko tōna papatipu he 84 karamu, nō reira ko tōna mātotorutanga he...
A. 10,5 karamu/cm 3
B. 8,5 karamu/cm 3
C. 6,4 karamu/cm 3
D. 4,8 karamu/cm 3
Kōrero
E mōhiotia ana:
Rōrahi (V) = 8 cm 3
Taumaha (m) = 84 karamu
I pātaihia: Te mātotoru ( ρ)
Whakautu:
Tātai mātotoru :
ρ = m / V = 84 karamu / 8 cm 3 = 10,5 karamu/cm 3
Ko te whakautu tika ko A.
2. Ko te rōrahi o tētahi poraka rakau he 5 cm 3. Mena ko te mātotoru o te rakau he 250 karamu/cm 3 , ko te taumaha o te rakau ko…
A. 1250 karamu
B. 50 karamu
C. 10 karamu
D. 2 karamu
Kōrero
E mōhiotia ana:
Te rōrahi o te rakau (V) = 5 cm 3
Te mātotoru o te rakau ( ρ ) = 250 karamu/ cm3
I pātaihia: Te papatipu o te rakau
Whakautu:
Tātai mātotoru:
ρ = m / V
Whakaahuatanga: ρ = kiato, V = rōrahi, m = papatipu
Papatipu rakau:
m = ρ V = (250 karamu/cm 3 )(5 cm 3 ) = 1250 karamu
3. Tirohia te pikitia kei te taha!
Mena he 35 cm 3 te rōrahi o te wai , ā, ko te taumaha o te mea he 60 karamu, ko te mātotoru o te mea he...
A. 2,40 karamu/cm
B. 1,71 karamu/cm 3
C. 1.00 karamu/cm 3
D. 0,63 karamu/cm 3
Kōrero
E mōhiotia ana:
Te rōrahi wai (V) = 35 cm 3
Papatipu o te mea (m) = 60 karamu
I pātaihia: Te mātotoru o te mea ( ρ)
Whakautu:
Kiato:
ρ = m / V = 60/35 = 1,71 karamu/cm 3
Ko te whakautu tika ko B.
4. Ko te taumaha o tētahi konganuku konumohe he 120 karamu, ā, ko te rōrahi he 60 cm 3 , nō reira ko tōna mātotorutanga he...
A. 2 karamu/cm 3
B. 20 karamu/cm 3
C. 200 karamu/cm 3
D. 2.000 karamu/cm 3
Kōrero
E mōhiotia ana:
Taumaha (m) = 120 karamu
Rōrahi (V) = 60 cm 3
I pātaihia: Te matotoru
Whakautu:
Tātai mātotoru:
ρ = m / V
ρ = 120 karamu / 60 cm 3
ρ = 2 karamu/cm 3
Ko te whakautu tika ko A.
5. Tokowhā ngā ākonga i ine i ngā mea, ko ngā hua o te whakamātautau e whakaaturia ana i te ripanga e whai ake nei:
Ko ngā ākonga e ine ana i ngā taonga me ngā rauemi ōrite ko…
A. Ngā ākonga A me B
B. Ngā ākonga B me C
C. Ngā ākonga B me D
D. Ngā ākonga C me D
Kōrero
He rite te matotoru, te taumaha rānei o ngā mea i hangaia i te rauemi kotahi. He rerekē anō te taumaha o ngā mea i hangaia i ngā rauemi rerekē.
Ko te tātai mō te mātotoru ko:
ρ = m / V
Whakaahuatanga: ρ = kiato, m = papatipu, V = rōrahi
Ko te whakautu tika ko B.
6. Tirohia te hoahoa ine mā te whakamahi i ngā rauemi me ngā taputapu e whai ake nei! Mena he 300 karamu te taumaha o tētahi mea, ko te kiato o te mea ko...
A. 3,0 karamu/cm3
B. 7,5 karamu/cm 3
C. 15 karamu/cm 3
D. 320 karamu/cm 3
Kōrero
E mōhiotia ana:
Papatipu o te mea (m) = 300 karamu
Te rōrahi o te mea (V) = te rōrahi o te wai i maringi = 20 cm 3
I pātaihia: Te mātotoru o te mea
Whakautu:
Tātai mātotoru:
ρ = m / V = 300 karamu / 20 cm 3 = 15 karamu/cm 3
Ko te whakautu tika ko C.
7. Tirohia te pikitia!
Mena ka makahia he mea he 316 karamu te taumaha ki roto i tētahi ipu kī tonu i te wai e whakaaturia ana i te pikitia, ko te mātotoru o te mea ko...
A. 7,9 kg/m3
B. 15,8 kg/ m3
C. 7.900 kg/ m3
D. 15.800 kg/ m3
Kōrero
E mōhiotia ana:
Papatipu o te mea (m) = 316 karamu
Te rōrahi o te mea (V) = te rōrahi o te wai i maringi = 40 miririta
I pātaihia: Te mātotoru o te mea
Whakautu:
I mua i te tatau i te mātotoru, tahurihia ngā waeine papatipu me te rōrahi o te mea.
Taumaha o te mea = 316 karamu = 316/1000 kg = 0,316 kg
Te rōrahi o te mea = 40 miririta = 40/1000 rita = 4/100 rita = 0,04 rita
1 rita = 1 tekimita pūtoru (dm 3 ) = 1/1000 mita pūtoru (m 3 ) = 0,001 m 3
0,04 rita = (0,04)(0,001) m ³ = 0,00004 m ³
Te mātotoru o te mea:
ρ = m / V = 0,316 kg / 0,00004 m 3 = 316 kg / 0,04 m 3 = 7900 kg/m 3
Ko te whakautu tika ko C.
8. Tirohia te whakaahua ine e whai ake nei!
Te mātotoru o te toka e ai ki ngā raraunga i roto i ngā whakaahua (Pikitia 1) me (Pikitia 2)
A. 6.000 kg/ m3
B. 4.000 kg/ m3
C. 2.400 kg/ m3
D. 670 kg/ m3
Kōrero
E mōhiotia ana:
Whakahuatia ngā waeine katoa o te Pūnaha Ao Whānui
Taumaha o te kōhatu (m) = 100 karamu + 20 karamu = 120 karamu = 120 / 1000 kirokaramu = 0,120 kirokaramu
Te rōrahi o te kōhatu (V) = te rōrahi o te wai kua nekehia = 80 miririta – 60 miririta = 20 miririta = 20 / 1000 rita = 2/100 rita = 0,02 rita
1 rita = 1 tekimita pūtoru (dm 3 ) = 1/1000 mita pūtoru (m 3 ) = 0,001 m 3
0,02 rita = 0,02 x 0,001 m³ = 0,00002 m³
I pātaihia: Te matotoru o te toka
Whakautu:
Te matotoru o te toka:
ρ = m / V = 0,120 kg / 0,00002 m 3 = 120 kg / 0,02 m 3 = 6000 kg/m 3
Ko te whakautu tika ko A.
9. I tukuna he mahi ki a Susi, he ākonga o te tau 7, e tana kaiako hei whakatau i te momo taonga. I ine a M. Susi i te papatipu me te rōrahi o te taonga mā te whakamahi i ngā taputapu e whakaaturia ana i te pikitia.
I runga i ngā hua o ngā inenga o te mea me te ōritetanga o te mātotoru i roto i te ripanga, ko te momo mea e inehia ana ko...
A. Konumohe
B. Konutea
C. Rino
D. Kuningan
Kōrero
Kei roto i te Pūnaha Ao ngā waeine katoa
E mōhiotia ana:
Papatipu o te mea M (m) = 168 karamu = 168/1000 kirokaramu = 0,168 kirokaramu
Te rōrahi o te mea M (V) = te rōrahi o te wai kua nekehia = 80 ml – 60 ml = 20 miririta = 20/1000 rita = 2/100 rita = 0,02 rita
1 rita = 1 tekimita pūtoru (dm 3 ) = 1/1000 mita pūtoru (m 3 ) = 0,001 m 3
0,02 rita = 0,02 x 0,001 m³ = 0,00002 m³
I pātaihia: Te mātotoru o te mea
Whakautu:
Ko te mātotoru o tētahi mea:
ρ = m / V = 0,168 kg / 0,00002 m 3 = 168 kg / 0,02 m 3 = 8400 kg/m 3
E ai ki te ripanga mātotoru, he parahi te mea he 8400 kg/m3 tōna mātotoru.
Ko te whakautu tika ko D.
Pūtake pātai:
Ngā Pātai Whakamātautau Pūtaiao ā-Motu mō te Kura Tuarua/Kura Tuarua Ihirama
