Te whakatau i te tūranga o tētahi mea i roto i te nekehanga pere

Ngā whakaoti rapanga i roto i te nekehanga pere – te whakatau i te tūranga o tētahi mea

1. E pehia ana tētahi tinana ki runga i te koki 60 ^° ki te whakapae me te tere tīmatanga o te 12 m/s. Tāutuhia te tūranga o te mea i muri i te neke mō te 1 hēkona! Ko te tere o te kaha ā-papatipu he 10 m/ ^s².

Mōhiotia:

Koki ( θ ) = 60 ^o

Te tere tīmatanga (v _o ) = 12 m/s

Wā wā (t) = 1 hēkona

Te whakaterenga o te kaha ā-papa (g) = 10 m/s ²

E hiahiatia ana: Te tūnga o te mea i muri i te neke mō te 1 hēkona

Rongoā:

Wāhanga whakapae o te tere tīmatanga:

v _ox = v _o cos θ = (12 m/s)(cos 60 ^o ) = (12 m/s)(0.5) = 6 m/s

Wāhanga poutū o te tere tīmatanga:

v _oy = v _o hara θ = (12 m/s)(hara 60 ^o ) = (12 m/s)(0.5 √ 3 ) = 6 √ 3 m/s

Te tūnga o te mea i te ahunga whakapae:

Mōhiotia:

Te wāhanga whakapae o te tere (v _x ) = 6 m/s

Wā wā (t) = 1 hēkona

E hiahiatia ana: whānuitanga whakapae (x)

Rongoā:

Ko te tikanga o te 6 mita ia hēkona ka neke te pōro tae atu ki te 6 mita i ia hēkona 1. Ko te tawhiti o te pōro i muri i te neke mō te hēkona 1 he 6 mita. Nō reira, ko te tūranga o te pōro i te ahunga whakapae he 6 mita.

Te tūnga o te mea i te ahunga poutū:

Kōwhiria te ahunga whakarunga hei pai, me te ahunga whakararo hei kino.

Mōhiotia:

Te tere tīmatanga (v _o ) = 6 √ 3 m/s (pai ki runga)

Wā wā (t) = 1 hēkona

Te whakaterenga o te kaha ā-papa (g) = -10 m/s ² (kino ki raro)

E hiahiatia ana: teitei i muri i te neke mō te 1 hēkona

Rongoā:

h = v_o t + 1/2 gt² = ((6√3)(1) + 1/2 (-10)(1²) = 6√3 + (-5)(1) = 6√3 – 5 = 6(1.7) – 5 = 10.2 – 5 = 5.2 mita.

Te tūnga o te mea i muri i te neke mō te 1 hēkona:

Nekehanga whakapae (x) = 6 mita

Nekehanga poutū (y) = 5.2 mita

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2. E whakarewaina ana tētahi tinana ki runga i te koki 30 ^° ki te whakapae mai i tētahi whare e 20 mita te teitei. Ko tōna tere tīmatanga he 50 m/s. Tātaihia te nekehanga poutū i muri i te neke o te tinana mō te 1 hēkona! Ko te tere o te kaha ā-papatipu he 10 m/ ^s2.

Mōhiotia:

Koki ( θ ) = 30 ^o

Teitei tīmatanga (h _o ) = 20 mita

Te tere tīmatanga (v _o ) = 50 m/s

Wā wā (t) = 1 hēkona

Te whakaterenga o te kaha ā-papa (g) = 1 0 m/s ²

Teitei e hiahiatia ana: Teitei (h)

Rongoā:

Wāhanga poutū o te tere tīmatanga:

v _oy = v _o hara θ = (50 m/s)(hara 30 ^o ) = (50 m/s)(0.5) = 25 m/s

Te teitei:

Kōwhiria te ahunga whakarunga hei pai, me te ahunga whakararo hei kino.

Mōhiotia:

Te tere tīmatanga (v _o ) = 25 m/s (pai ake ki runga)

Wā wā (t) = 1 hēkona

Te whakaterenga o te kaha ā-papa (g) = -1 0 m/s ² (kino ki raro)

Teitei e hiahiatia ana: Teitei (h)

Rongoā:

h = v _o t + 1/2 gt ^{​​​​2} = (25)(1) + 1/2 (-10)(1 ² ) = 25 + (-5)(1) = 25 – 5 = 20 mita.

Ko te teitei o te tinana i muri i te neke mō te 1 hēkona he 20 mita i runga ake i te wāhi e whakatakotoria ana te tinana , he 40 mita rānei i runga ake i te whenua.

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3. Ka tukuna whakapaetia tētahi pōro iti me te tere tīmatanga v _o = 10 m/s mai i tētahi whare 10 mita te teitei. Tātaihia te nekehanga o te pōro i muri i te neke i roto i te 1 hēkona ! Ko te tere o te kaha ā-papatipu he 10 m/s ²

Mōhiotia:

Teitei tīmatanga (h) = 10 mita

Te tere tīmatanga (v _o ) = 10 m/s

Wā wā (t) = 1 hēkona

Te whakaterenga o te kaha ā-papa (g) = 10 m/s ²

E hiahiatia ana: Te tūranga o te pōro i muri i te nekenga mō te 1 hēkona!

Rongoā:

Te nekehanga whakapae:

Mōhiotia:

Te wāhanga whakapae o te tere (v _x ) = 10 m/s

Wā wā (t) = 1 hēkona

E hiahiatia ana: Te tūnga o te mea

Rongoā:

Ko te tikanga o te 10 mita/hēkona ka neke te mea tae atu ki te 10 mita i ia 1 hēkona. Ko te nekehanga i muri i te nekehanga mō te 1 hēkona he 10 mita. Nō reira, ko te nekehanga whakapae he 10 mita.

Nekehanga poutū:

I tatauhia hei nekehanga hinga noa.

Mōhiotia:

Wā wā (t) = 1 hēkona

Te whakaterenga o te kaha ā-papa (g) = 10 m/s ²

E hiahiatia ana: Teitei i muri i te neke mō te 1 hēkona (h)

Rongoā:

h = 1/2 gt ^{​​​​2} = 1/2 (10)(1 ² ) = (5)(1) = 5 mita.

I muri i te 1 hēkona, ka taka te mea ki te 5 mita te teitei. Teitei ake i te whenua = 10 mita – 5 mita = 5 mita.

Te tūranga o te mea i muri i te nekehanga 1 hēkona:

Te tūnga o te mea i te ahunga whakapae (x) = 10 mita

Ko te tūranga o te mea i te ahunga poutū (y) = 5 mita

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1. Whakatauhia te tere tīmatanga ki ngā wāhanga whakapae me ngā wāhanga poutū
2. Whakatauhia te nekehanga whakapae
3. Whakatauhia te teitei mōrahi
4. Whakatauhia te wā
5. Whakatauhia te tūranga o te mea
6. Whakatauhia te tere whakamutunga