1. He takanga kore utu o te tinana 1-kg mai i te okiokinga, mai i te teitei o te 10 m.
Whakatauhia:
(a) Te mahi i mahia e te kaha o te taumaha
(b) Te panonitanga o te pūngao pūmanawa ā-papa
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Mōhiotia:
Taumaha (m) = 1 kg
Teitei (h) = 10 m
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Taumaha (w) = mg = (1 kg)(10 m/s 2 ) = 10 N
Rongoā:
(a) Te mahi i mahia e te kaha o te taumaha
W = wh = mgh
W = (1)(10)(10) = 100 Joule
(b) Te panonitanga o te pūngao pūmanawa ā-papa
He ōrite te huringa o te pūngao pūmanawa ā-papa ki te mahi e mahia ana e te ā-papa.
Δ EP = 100 Joule
[irp]
2. Ka paheke iho tētahi mea 10 N i runga i te papa whakarara maeneene mā te 2 mita te roa. Tātaihia te mahi i mahia e te taumaha kaha!
Mōhiotia:
taumaha (w) = 10 N
w x = w hara θ = (10)(hara 30 o ) = (10)(0.5) = 5 N
d = 2 mita
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: te mahi i mahia e te taumaha kaha
Rongoā:
W = F d = w x d = (5)(2) = 10 Joule
Otinga kē atu:
Sin 30 o = h / d
0.5 = hāora / 2
h = (0.5)(2)
h = 1 mita
Te mahi i mahia e te taumaha me te kaha;
W = F d = wh = (10 N)(1 m) = 10 N m = 10 Joules
[irp]
3. He mea 1,500 karamu te taumaha, e 20 mita te teitei i runga ake i te whenua , e taka noa ana ki te whenua. He aha te kaha pūmanawa ā-papa o te mea? Ko te tere o te ā-papa nā te kaha ā-papa he 10 m/ s².
Mōhiotia:
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
Taumaha (m) = 1500 karamu = 1500/1000 kirokaramu = 1.5 kirokaramu
Teitei (h) = 20 mita
E hiahiatia ana: Te pūngao pūmanawa ā-papa
Rongoā:
PE = mgh = (1.5 kg)(10 m/s² ) (20 m) = 300 kg m² / s² = 300 Joules
4. E ai ki te pikitia i raro nei, mēnā ko te taumaha o te mea 1 he 2 kg, ā, ko te taumaha o te mea 2 he 4 kg, ko te whakataurite i te pūngao pūmanawa o te mea 1 me te mea 2 he …..
Mōhiotia:
Papatipu o te mea 1 (m1) = 2 kirokaramu
Papatipu o te mea 2 (m2 ) = 4 kirokaramu
Teitei 1 (h 1 ) = 12 mita
Teitei 2 (h 2 ) = 9 mita
E hiahiatia ana: Te whakataurite i te pūngao pūmanawa o te mea 1 me te mea 2
Rongoā:
PE = mgh
m = papatipu (ko tōna waeine ā-ao ko te kirokaramu, he whakarāpopototanga ki te kg)
g = te whakaterenga nā te kaha ā-papa (ko tōna waeine ā-ao ko ngā mita ia hekona tapawhā, he whakarāpopototanga m/s 2 )
h = teitei (ko tōna waeine ā-ao ko te mita, he whakarāpopototanga m)
PE = pūngao pūmanawa ā-papa (ko tōna waeine ā-ao ko kg m 2 /s 2 , ko Joule rānei)
Te pūngao pūmanawa ā-papa o te mea 1:
EP 1 = m 1 gh 1 = (2)(g)(12) = 24 g
Te pūngao pūmanawa ā-papa o te mea 2:
EP 2 = m 2 gh 2 = (4)(g)(9) = 36 g
Te whakataurite i te pūngao pūmanawa o te mea 1 me te mea 2:
PE 1 : PE 2
24 karamu : 36 karamu
24: 36
12/24 : 12/36
2: 3
[wpdm_package id='1175′]
- Ngā raruraru me ngā otinga mō te mahi i mahia mā te kaha
- Ngā raruraru me ngā otinga mō te pūngao mahi-nekeneke
- Ngā raruraru me ngā otinga o ngā mātāpono mahi-pūngao miihini
- Ngā raruraru me ngā otinga o te pūngao pūmanawa ā-papa
- Te pūngao pūmanawa o ngā raruraru me ngā otinga o te puna rapa
- Ngā raruraru hiko me ngā otinga
- Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga hinga noa
- Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga ki runga, ki raro hoki i te nekehanga hinga noa.
- Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga i runga i te mata piko
- Te whakamahinga o te tiakitanga o te pūngao miihini mō te nekehanga i runga i te paparangi piko
- Te whakamahinga o te tiaki i te pūngao miihini mō te nekehanga pere
