Te nekehanga i runga i te papa piko me te kore he kaha waku – te whakamahinga o ngā raruraru me ngā otinga o te ture nekehanga a Newton

1. Pouaka papatipu = 2 kirokaramu, te whakaterenga nā te kaha ā-papa = 9.8m/s²Kimihia (a) te kaha kupenga e whakatere ana i te pouaka ki raro (b) te rahi o te pouaka whakatere.

otinga

Mōhiotia:

Taumaha (m) = 2 kg

Te whakaterenga nā te kaha ā-papa (g) = 9.8 m/s²

Taumaha (w) = mg = (2)(9.8) = 19.6 Ngā Newton

w_x = w sin 30 = (19.6)(0.5) = 9.8 Ngā Newton

w_y = w cos 30 = (19.6)(0.5√3) = 9.8√3 Ngā Newton

Rongoā:

(a) te kupenga mōe whakateretere ana i te pouaka

He maeneene te papa piko, nō reira kāore he kaha waku. Ko te kaha anake e pā ana ki te mea ko te w_x.

∑F = w_x

∑F = 9.8 Newton

(B) te rahi o te whakaterenga

∑F = ma

9.8 = (2) he

ā = 9.8 / 2

a = 4.9 m/s²

Ko te rahi o te whakaterenga he 4.9 m/s², kei raro te ahunga o te whakaterenga.

2. Papa piko he maeneene, nō reira kāore he te kaha o te waku. Ko te papatipu o te mea he 3 kg, ko te whakaterenga nā te kaha ā-papatipu he 9.8 m/s². Tātaihia te rahi o te kaha F mēnā (a) kei te okioki te mea (b) kei te neke whakararo te mea me te whakaterenga pumau 2 m/s² (c) kei te neke ake te mea me te whakaterenga pumau o te 2 m/s².

otinga

Mōhiotia:

Taumaha (m) = 3 kg

Te whakaterenga nā te kaha ā-papa (g) = 9.8 m/s²

Taumaha (w) = mg = (3)(9.8) = 29.4 Ngā Newton

w_x = w sin 30 = (29.4)(0.5) = 14.7 Ngā Newton

w_y = w cos 30 = (29.4)(0.5√3) = 14.7√3 Ngā Newton

Rongoā:

(a) Te rahi o te kaha F mēnā kei te takoto kau te mea

Te ture tuatahi a Newton mō te nekehanga e kī ana mēnā kei te okioki tetahi mea, ko te kaha kupenga e pā ana ki te mea he kore.

∑F = 0

F – w_x = 0

F = w_x

F = 14.7 Newton

(b) Te rahi o te kaha F mēnā kei te neke whakararo tetahi mea i te tere pumau 2 m/s²

∑F = ma

w_x – F = mā

14.7 – F = (3)(2)

14.7 – F = 6

F = 14.7–6

F = 8.7 Newton

(c) Te rahi o te kaha F mēnā kei te neke ake tētahi mea i te tere pumau 2 m/s²

∑F = ma

F – w_x = mā

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

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1. Papatipu me te taumaha
2. Te kaha noa
3. Te ture tuarua o te nekehanga a Newton
4. Te kaha waku
5. Te nekehanga i runga i te mata whakapae me te kore he kaha waku
6. Te nekehanga o ngā tinana e rua me te tere tere ōrite i runga i te mata whakapae taratara me te kaha waku
7. Te nekehanga i runga i te papa whakarara me te kore he kaha waku
8. Te nekehanga i runga i te papa whakarara taratara me te kaha waku
9. Te nekehanga i roto i te ararewa
10. Ka honoa te nekehanga o ngā tinana e ngā taura me ngā pūrere
11. E rua ngā tinana he rite te rahi o te whakaterenga
12. Te whakaawhiwhi i tētahi piko papatahi – ngā nekehanga porowhita
13. Te whakaawhiwhi i tētahi kōpiko peeke – ngā hihiri o te nekehanga porowhita
14. Te nekehanga ōrite i roto i te porowhita whakapae
15. Te kaha pokapū i roto i te nekehanga porowhita ōrite