ke kālaikūlohea

1. ʻO ke kaumaha o ka mea = 2 kg, ka wikiwiki ma muli o ke koʻikoʻi = 9.8 m/s ² , ke koʻikoʻi o ka friction static = 0.2, ke koʻikoʻi o ka friction kinetic = 0.1. Ke hoʻomaha nei ka mea a i ʻole ke wikiwiki nei? Inā ua wikiwiki ʻia ka mea, e ʻimi (a) ka ikaika net (b) ka nui a me ke kuhikuhi o ka wikiwiki o ka pahu!

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 2 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 9.8 m/s ²

ʻO ke koina o ka haʻalulu paʻa ( μs ₎ = 0.2

Ka helu o ka friction kinetic ( μk ₎ = 0.1

Kaumaha (w) = mg = (2)(9.8) = 19.6 Newtons

ʻO ka ʻāpana pae o ke kaumaha (w _x ) = w sin 30 ^o = (19.6)(0.5) = 9.8 Newtons

ʻO ka ʻāpana kū pololei o ke kaumaha (w _y ) = w cos 30 ^o = (19.6)(0.5√3) = 9.8√3 Newtons

ʻO ka ikaika maʻamau (N) = w _y = 9.8√3 Newtons

Ka ikaika o ka haʻalulu paʻa (fs ₎ = (0.2)(9.8√3) = 1.96√3 Newton = 3.39 Newton

Ka ikaika o ka friction kinetic (f _k ) = (0.1)(9.8√3) = 0.98√3 Newton = 1.69 Newton

Lōlā:

Ua hoʻomaha ka mea inā w _x < _fs , e neʻe ana ka mea i lalo inā w _x > _fs.

w _x = 9.8 Newton a me f _s = 3.39 Newton.

(a) ka ikaika upena

∑ F = w _x – f _k = 9.8 – 1.69 = 8.11 Newtons

(b) ka nui a me ke kuhikuhi o ka hoʻolalelale ʻana

∑ F = ma

8.11 = (2) a

i = 4.05

ʻO ka nui o ka hoʻolalelale = 4.05 m/s ² a me ke kuhikuhi o ka hoʻolalelale = i lalo.

ʻAʻole maopopo

2. ʻO ke kaumaha o ka mea = 4 kg, ka wikiwiki ma muli o ke koʻikoʻi = 9,8 m/s ^2. ʻO ke koʻikoʻi o ka friction kinetic = 0.2 a me ke koʻikoʻi o ka friction static = 0.4. Ka nui o ka ikaika F = 40 Newtons. Ke hoʻomaha nei ka mea a i ʻole e paheʻe i lalo? Inā e paheʻe ana ka mea i lalo, e ʻimi i (a) ka ikaika net (b) ka nui a me ke kuhikuhi o ka wikiwiki!

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 4 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 9.8 m/s ²

ʻO ke koina o ka haʻalulu paʻa ( μs ₎ = 0.4

ʻO ke koina o ka friction kinetic ( μk ₎ = 0.2

Kaumaha (w) = mg = (4)(9.8) = 39.2 Newtons

ʻO ka ʻāpana pae o ke kaumaha (w _x ) = w sin 30 ^o = (39.2)(0.5) = 19.6 Newtons

ʻO ka ʻāpana kū pololei o ke kaumaha (w _y ) = w cos 30 ^o = (392)(0..5√3) = 19.6√3 Newtons

ʻO ka ikaika maʻamau (N) = w _y = 19.6√3 Newtons = 33.95 Newtons

ka ikaika kuʻi paʻa (fs ₎ = μsN = ( _0,4 )(33.95) = 13.58 Newtons

ʻO ka ikaika kuʻi kinetic (f _k ) = μ _k N = (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Lōlā:

Paheʻe ka mea i lalo inā ʻo F < w _x + f _s . Paheʻe ka mea i luna inā ʻo F > w _x + f _s.

ʻO F = 40 Newton, w _x = 19.6 Newton a me f _s = 13.58 Newton.

ʻOi aku ka nui o F ma mua o wx ₊ fs _no laila e paheʻe ana ka mea i luna.

(a) Ka ikaika upena

∑ F = F – w _x – f _k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Ka nui a me ke kuhikuhi o ka hoʻolalelale

∑ F = ma

6.4 = (4) a

i = 1.6

ʻO ka nui o ka hoʻolalelale ʻana he 1.6 m/s² ^a ke piʻi nei ke kuhikuhi o ka hoʻolalelale ʻana i luna.

ʻAʻole maopopo

[wpdm_package id='481′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. ʻO ke kaumaha o ka pahu = 2 kg, ka wikiwiki ma muli o ke koʻikoʻi = 9.8 m/s ^{2. E huli (a) i ka ikaika ʻupena e hoʻolalelale ana i ka pahu i lalo (b) ka nui o} ka wikiwiki o ka pahu.

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 2 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (2)(9.8) = 19.6 Newtons

w _x = w sin 30 = (19.6)(0.5) = 9.8 Newtons

w _y = w cos 30 = (19.6)(0.5√3) = 9.8√3 Newtons

Lōlā:

(a) ʻO ka ʻupena no ce e hoʻolalelale ana i ka pahu

He laumania ka mokulele hilig, no laila ʻaʻohe ikaika friction. ʻO ka ikaika wale nō e hana ana ma ka mea ʻo w _x.

∑ F = _wx

∑ F = 9.8 Newton

(b) ka nui o ka hoʻolalelale ʻana

∑ F = ma

9.8 = (2) a

a = 9.8 / 2

a = 4.9 m/s ²

ʻO ka nui o ka hoʻolalelale ʻana he 4.9 m/s² ^, ke kuhikuhi o ka hoʻolalelale ʻana i lalo.

ʻAʻole maopopo

2. He laumania ka mokulele i hoʻokiʻekiʻe ʻia no laila ʻaʻohe ikaika friction . ʻO ke kaumaha o ka mea he 3 kg, ʻo ka wikiwiki ma muli o ke umekaumaha he 9.8 m/s² ^. E hoʻoholo i ka nui o ka ikaika F inā (a) ua hoʻomaha ka mea (b) ke neʻe nei ka mea i lalo me ka wikiwiki mau o 2 m/s² ⁽ c) ke neʻe nei ka mea i luna me ka wikiwiki mau o 2 m/ ^s².

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 3 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (3)(9.8) = 29.4 Newtons

w _x = w sin 30 = (29.4)(0.5) = 14.7 Newtons

w _y = w cos 30 = (29.4)(0.5√3) = 14.7√3 Newtons

Lōlā:

(a) Ka nui o ka ikaika F inā e hoʻomaha ana kahi mea

ʻŌlelo ke kānāwai mua o ka neʻe ʻana o Newton inā e hoʻomaha ana kahi mea, ʻo ka ikaika upena e hana ana ma luna o ka mea he ʻole.

∑ F = 0

F – w _x = 0

F = _wx

F = 14.7 Newton

(b) Ka nui o ka ikaika F inā e neʻe ana kahi mea i lalo ma kahi paʻa 2 m/s ²

∑ F = ma

w _x – F = ma

14.7 – F = (3)(2)

14.7 – F = 6

F = 14.7–6

F = 8.7 Newton

(c) Ka nui o ka ikaika F inā e neʻe ana kahi mea i luna ma kahi paʻa 2 m/s ²

∑ F = ma

F – w _x = ma

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

ʻAʻole maopopo

[wpdm_package id='479′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. ʻO ke kaumaha o ka pahu 1 he 2 kg, ʻo ke kaumaha o ka pahu 2 he 4 kg, ʻo ka wikiwiki o ke koʻikoʻi he 10 m/s ² , ʻo ka nui o ka ikaika F he 40 Newtons. ʻO ke koʻikoʻi o ka friction kinetic ma waena o ka pahu 1 a me ka papahele he 0.2 a ʻo ke koʻikoʻi o ka friction kinetic ma waena o ka pahu 2 a me ka papahele he 0.3. E huli (a) Ka nui a me ke kuhikuhi o ka wikiwiki o ka pahu (b) Ka nui o ka ikaika i hoʻokau ʻia e ka pahu 1 ma ka pahu 2 (F ₁₂ ) a me ka nui o ka ikaika i hoʻokau ʻia e ka pahu 2 ma ka pahu 1 (F ₂₁ ).

pāʻoihana

ʻIke ʻia:

Ka nuipa o ka pahu 1 (m1 ₎ = 2 kg

Ka nuipa o ka pahu 2 (m2 ₎ = 4 kg

Ka wikiwiki o ke koʻikoʻi (g) = 10 m/ ^s² ,

ʻO ka ikaika F = 40 Newton,

ʻO ke koina o ka friction kinetic ma waena o ka pahu 1 a me ka papahele ( μ _k1 ) = 0.2

ʻO ke koina o ka friction kinetic ma waena o ka pahu 2 a me ka papahele ( μ _k2 ) = 0.3

ʻO ke kaumaha o ka pahu 1 (w ₁ ) = m ₁ g = (2)(10) = 20 Newtons

ʻO ke kaumaha o ka pahu 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

ʻO ka ikaika maʻamau i hoʻokau ʻia ma ka pahu 1 (N ₁ ) = w ₁ = 20 Newtons

ʻO ka ikaika maʻamau i hoʻokau ʻia ma ka pahu 2 (N ₂ ) = w ₂ = 40 Newtons

ʻO ka ikaika o ka friction kinetic i hoʻokau ʻia ma ka pahu 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

ʻO ka ikaika o ka friction kinetic i hoʻokau ʻia ma ka pahu 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Lōlā:

(a) Ka nui a me ke kuhikuhi o ka wikiwiki o ka pahu

ΣF = ma

F – f _k1 – f _k2 = (m ₁ + m ₂ ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

Ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika ʻupena = i ka ʻākau.

(b) Ka nui o ka ikaika i hoʻokau ʻia e ka pahu 1 ma ka pahu 2 (F ₁₂ ) a me ka nui o ka ikaika i hoʻokau ʻia e ka pahu 2 ma ka pahu 1 (F ₂₁ ).

E helu i ka nui o F ₁₂ :

ΣF = ma

F ₁₂ – f _k2 = (m ₂ ) a

F ₁₂ – 12 = (4)(4)

F ₁₂ – 12 = 16

F ₁₂ = 16 + 12

F12 = 28 _Newtons

ʻO F ₁₂ a me F ₂₁ nā ikaika hana a me ka hopena e hana ana ma nā mea like ʻole. Loaʻa iā F ₁₂ a me F ₂₁ ka nui like a me ke kuhikuhi ʻē aʻe.

F ₁₂ = 28 Newton = F ₂₁ = 28 Newton.

ʻAʻole maopopo

2. ʻO ke kaumaha o ka pahu 1 he 2 kg, ʻo ke kaumaha o ka pahu 2 he 4 kg, ʻo ka wikiwiki o ke koʻikoʻi he 10 m/s ² , ʻo ka ikaika F he 40 N. ʻO ke koʻikoʻi o ka friction kinetic ma waena o ka pahu 1 a me ka papahele he 0.2 a ʻo ke koʻikoʻi o ka friction kinetic ma waena o ka pahu 2 a me ka papahele he 0.3. E hoʻoholo (a) Ka nui a me ke kuhikuhi o ka wikiwiki (b) Ke tension i loko o ke kaula e hoʻopili ana i nā pahu. E hoʻowahāwahā i ke kaumaha o ke kaula.

ʻIke ʻia:

Ka nuipa o ka pahu 1 (m1 ₎ = 2 kg

Ka nuipa o ka pahu 2 (m2 ₎ = 4 kg

Ka wikiwiki o ke koʻikoʻi (g) = 10 m/ ^s² ,

ʻO ka ikaika F = 40 Newton,

ʻO ke koina o ka friction kinetic ma waena o ka pahu 1 a me ka papahele he 0.2 ( μ _k1 ) = 0.2

ʻO ke koina o ka friction kinetic ma waena o ka pahu 2 a me ka papahele he 0.2 ( μ _k2 ) = 0.3

ʻO ke kaumaha o ka pahu 1 (w ₁ ) = m ₁ g = (2)(10) = 20 Newtons

ʻO ke kaumaha o ka pahu 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

ʻO ka ikaika maʻamau i hoʻokau ʻia ma ka pahu 1 (N ₁ ) = w ₁ = 20 Newtons

ʻO ka ikaika maʻamau i hoʻokau ʻia ma ka pahu 2 (N ₂ ) = w ₂ = 40 Newtons

ʻO ka ikaika o ka friction kinetic i hoʻokau ʻia ma ka pahu 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

ʻO ka ikaika o ka friction kinetic i hoʻokau ʻia ma ka pahu 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Lōlā:

(a) ka nui a me ke kuhikuhi o ka hoʻolalelale ʻana

ΣF = ma

F – f _k1 – f _k2 = (m ₁ + m ₂ ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

ʻO ka nui o ka hoʻolalelale ʻana he 4 m/s² ^, ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika ʻupena = i ka ʻākau.

(b) Ke kaumaha ma ke kaula

ʻO nā ikaika e hana ana ma ka pahu 1 ma ke kuhikuhi pae, ʻo ia ka tension 1 (T ₁ ) i ka ʻākau a me ka ikaika o ka friction kinetic 1 (f _k1 ) i ka hema. E hoʻopili i ke kānāwai ʻelua o Newton:

ΣF = ma

T ₁ – f _k1 = m ₁ a

T ₁ – 4 = (2)(4)

T ₁ – 4 = 8

T ₁ = 8 + 4 = 12 Newton

ʻO nā ikaika e hana ana ma ka pahu 2 ma ke kuhikuhi pae, ʻo ia ka tension 2 (T ₂ ) ma ka hema a me ka ikaika o ka friction kinetic 2 (f _{k 2} ) ma ka ʻākau. E hoʻopili i ke kānāwai ʻelua o Newton :

ΣF = ma

F – T ₂ – f _k2 = m ₂ a

40 – T ₂ – 12 = (4)(4)

28 – T ₂ = 16

T ₂ = 28 – 16 = 12 Newton

ʻO ke kaomi ma ke kaula e hoʻohui ana i nā pahu = T ₁ = T ₂ = T = 12 Newtons.

ʻAʻole maopopo

[wpdm_package id='493′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Neʻe ma luna o ka ʻili moe me ka ʻole o ka ikaika friction
6. Neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Neʻe ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ʻole o ka ikaika friction
8. Neʻe ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Ka neʻe ʻana o nā kino i hoʻopili ʻia e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. ʻO ke kaumaha o ka mea 1 he 2 kg, ʻo ke kaumaha o ka mea 2 he 4 kg, ʻo ka wikiwiki o ke koʻikoʻi he 10 m/s² ^, ʻo ka nui o ka ikaika F he 12 Newtons. E hoʻoholo i ka nui a me ke kuhikuhi o ka wikiwiki o nā mea.

ʻIke ʻia:

m1 ₌ 2 kg, m2 ₌ 4 kg, g = 10 m/s2 ^, F = 12 Newtons

Makemake ʻia : he

Lōlā:

Σ F = ma

F = (m1 ₊ m2 ₎ a

12 = (2 + 4) a

12 = 6 a

a = 12 / 6

a = 2 m/s ²

ʻO ka nui o ka hoʻolalelale ʻana he 2 m/s² ^, ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika ʻupena = i ka ʻākau.

ʻAʻole maopopo

2. ʻO ke kaumaha o ka mea 1 he 2 kg, ʻo ke kaumaha o ka mea 2 he 4 kg, ʻo ka wikiwiki o ke koʻikoʻi he 10 m/s² ^, ʻo ka nui o ka ikaika F he 24 N. E hoʻoholo i ka nui a me ke kuhikuhi o ka wikiwiki.

ʻIke ʻia:

m1 ₌ 2 kg, m2 ₌ 4 kg, g = 10 m/s2 ^, F = 24 Newtons

Makemake ʻia: hoʻolalelale (a)

Lōlā:

Σ F = ma

F = (m1 ₊ m2 ₎ a

24 = (2 + 4) a

24 = 6 a

a = 24 / 6

a = 4 m/s ²

ʻO ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika ʻupena = i ka ʻākau.

ʻAʻole maopopo

[wpdm_package id='474′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

Nā pilikia i hoʻoponopono ʻia ma nā kānāwai neʻe o Newton - Ka ikaika o ka friction static a me ka kinetic

1. Kau kekahi mea ma luna o kahi papahele pālahalaha. ʻO ke koina o ka friction static he 0.4 a ʻo ka wikiwiki o ke koʻikoʻi he 9.8 m/s ^2. E hoʻoholo (a) Ka ikaika nui loa o ka friction static (b) Ka ikaika liʻiliʻi loa o F

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

ʻO ke koina o ka haʻalulu paʻa (μs ₎ = 0.4

ʻO ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 Newtons

Ka ikaika maʻamau (N) = w = 10 Newtons

Makemake ʻia:

(a) Ka ikaika nui loa o ka haʻalulu paʻa (b) Ka ikaika liʻiliʻi loa o F

Lōlā:

(a) ʻO ka ikaika nui loa o ka haʻalulu paʻa

fs = μsN_​​​

fs ₌ (0.4)(9.8 N) = 3.92 Newtons

(b) ʻO ka ikaika liʻiliʻi loa o F

Inā hoʻokau ʻia ka ikaika F ma luna o ka mea akā ʻaʻole i neʻe ʻia ka mea, no laila pono ka ikaika o ka haʻalulu paʻa i hoʻokau ʻia e ka papahele ma luna o ka mea. Inā hoʻomaka ka mea e neʻe, ua ʻoi aku ka ikaika o ka haʻalulu paʻa, pono ka ikaika o ka haʻalulu kinetic. Hoʻomaka ka mea e neʻe inā ʻoi aku ka nui o F ma mua o ka ikaika nui o ka haʻalulu paʻa.

No laila, ʻo ka ikaika liʻiliʻi loa o F = ka ikaika nui loa o ka friction static = 3.92 Newtons.

ʻAʻole maopopo

2. Ua huki ʻia ka pahu 1 kg ma kahi ʻili pālahalaha e ka ikaika F, no laila ke neʻe nei ka pahu ma kahi wikiwiki mau. Inā he 0.1 ka coefficient friction kinetic, e hoʻoholo i ka nui o ka ikaika F! (g = 9.8 m/s ² )

ʻIke ʻia:

ʻO ke koina friction _{kinetic (} μk ) = 0.1

Ka nuipa o ka pahu (m) = 1 kg

Ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (1 kg)(9.8 m/s² ⁾ = 9.8 kg m/s² ⁼ 9.8 Newtons

Ka ikaika maʻamau (N) = w = 9.8 Newtons

Makemake ʻia : F

Lōlā:

ʻŌlelo ke kānāwai mua o Newton inā ʻaʻohe ikaika upena e hana ma kahi mea, e hoʻomau kēlā me kēia mea i kona kūlana hoʻomaha, a i ʻole ka wikiwiki mau i kahi laina pololei.

No laila, inā neʻe ka mea ma ka wikiwiki mau , ʻaʻohe pono o ka ikaika upena ( Σ F = 0) . Hoʻokau ʻia ka ikaika F ma luna o ka mea ma ke kuhikuhi ʻākau i hiki ai ke hoʻokau ʻia ka ikaika o ka friction kinetic ma luna o ka mea ma ke kuhikuhi hema.

∑ F = 0

F – f _k = 0

F = _fk

Ka ikaika o ka friction kinetic:

f _k = μ _k N = (0.1)(9.8 N) = 0.98 Newtons

Neʻe ka mea me ka wikiwiki mau, F = f _k = 0.98 Newtons

ʻAʻole maopopo

3. Heʻe kekahi mea i lalo i kahi mokulele i hoʻohaʻahaʻa ʻia me ka wikiwiki mau. E hoʻoholo i ke koina friction kinetic ( _μk ) . g = 9.8 m/s ²

pāʻoihana

w = ke kaumaha, w _x = ka ʻāpana kaulike o ke kaumaha, nā kiko ma ke kualono, w _y = ka ʻāpana kū pololei o ke kaumaha, kū pololei i ka mokulele kualono, N = ka ikaika maʻamau, f _k = ka ikaika o ka haʻalulu kinetic.

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

Ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

kaumaha (w) = mg = (1 kg)(9.8 m/s² ⁾ = 9.8 kg m/s² ⁼ 9.8 Newtons

w _x = w sin 30 ^o = (9.8 N)(0.5) = 4.9 Newtons

w _y = w cos 30 ^o = (9.8 N)(0.5) √ 3 = 4.9 √ 3 Newtons

Ka ikaika maʻamau (N) = w _y = 4.9 √ 3 Newtons

Makemake ʻia : ke koina friction kinetic ( μk ₎

Lōlā:

Paheʻe ka mea i lalo ma kahi mokulele hilig me ka wikiwiki mau i hiki ai ka ikaika upena = 0.

∑ F = 0

wx – _{fk =} 0

wx = _fk​

w _x = μ _k N

5 = μ _k ( 5 √ 3 )

μ _k = 5 / 5 √ 3

μ _k = 1 / √ 3

μk ₌ 0.58

ʻAʻole maopopo

[wpdm_package id='472′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Neʻe ma luna o ka ʻili moe me ka ʻole o ka ikaika friction
6. Neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Neʻe ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ʻole o ka ikaika friction
8. Neʻe ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Ka neʻe ʻana o nā kino i hoʻopili ʻia e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

Nā pilikia i hoʻoponopono ʻia ma nā kānāwai neʻe o Newton - ke kānāwai neʻe ʻelua o Newton 

1. Ua hoʻolalelale ʻia kahi mea 1 kg ma kahi mau 5 m/s ^2. E kuhi i ka ikaika upena e pono ai e hoʻolalelale i ka mea.

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

Hoʻolalelale (a) = 5 m/s ²

Makemake ʻia : ka ikaika upena (∑F)

Lōlā:

Hoʻohana mākou i ke kānāwai ʻelua o Newton e loaʻa ai ka ikaika upena.

∑ F = ma

∑ F = (1 kg)(5 m/s ² ) = 5 kg m/s ² = 5 Newtons

ʻAʻole maopopo

2. Ka nuipa o kahi mea = 1 kg, ka ikaika ʻupena ∑F = 2 Newtons. E hoʻoholo i ka nui a me ke kuhikuhi o ka wikiwiki o ka mea….

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

Ka ikaika ʻupena (∑F) = 2 Newton

Makemake ʻia : Ka nui a me ke kuhikuhi o ka wikiwiki (a)

Lōlā:

a = ∑F / m

a = 2 / 1

a = 2 m/s ²

ʻO ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika upena (∑F)

ʻAʻole maopopo

3. Ka nuipa o ka mea = 2 kg, F ₁ = 5 Newtons, F ₂ = 3 Newton. ʻO ka nui a me ke kuhikuhi o ka wikiwiki…

ʻIke ʻia:

Nuipaʻa (m) = 2 kg

F1 = 5 _Newtons

F2 = 3 _Newtons

Makemake ʻia: Ka nui a me ke kuhikuhi o ka wikiwiki (a)

Lōlā:

ka ikaika ʻupena:

∑ F = F ₁ – F ₂ = 5 – 3 = 2 Newtons

Ka nui o ka hoʻolalelale ʻana:

a = ∑F / m

a = 2 / 2

a = 1 m/s ²

Ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika ʻupena = ke kuhikuhi o F ₁

ʻAʻole maopopo

4. Ka nuipa o ka mea = 2 kg, F ₁ = 10 Newtons, F ₂ = 1 Newton. ʻO ka nui a me ke kuhikuhi o ka wikiwiki…

ʻIke ʻia:

Nuipaʻa (m) = 2 kg

F2 = 1 _Newtons

F1 = 10 _Newtons

F _1x = F ₁ cos 60 ^o = (10)(0.5) = 5 Newtons

Makemake ʻia : Ka nui a me ke kuhikuhi o ka wikiwiki (a)

Lōlā:

Ka ikaika ʻupena:

∑ F = F _1x – F ₂ = 5 – 1 = 4 Newtons

Ka nui o ka hoʻolalelale ʻana:

a = ∑F / m

a = 4 / 2

a = 2 m/s ²

Ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika ʻupena = ke kuhikuhi o F _1x

ʻAʻole maopopo

5. F ₁ = 10 Newtons, F ₂ = 1 Newton, m ₁ = 1 kg, m ₂ = 2 kg. ʻO ka nui a me ke kuhikuhi o ka hoʻolalelale ʻana…

ʻIke ʻia:

Nuipaʻa 1 (m1 ₎ = 1 kg

Nuipaʻa 2 (m2 ₎ = 2 kg

F1 = 10 _Newtons

F2 = 1 _Newtons

Makemake ʻia : Ka nui a me ke kuhikuhi o ka wikiwiki (a)

Lōlā:

ʻO ka ikaika upena:

∑ F = F ₁ – F ₂ = 10 – 1 = 9 Newtons

Ka nui o ka hoʻolalelale ʻana:

a = ∑F / ( _m1 + _m2 )

a = 9 / (1 + 2)

a = 9 / 3

a = 3 m/s ²

ʻO ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o ka ikaika upena = ke kuhikuhi o F ₁

ʻAʻole maopopo

6.

Ua hoʻolalelale ʻia kahi poloka 40-kg e ka ikaika o 200 N. ʻO ka hoʻolalelale ʻana o ka poloka he 3 m/ s² ^. E hoʻoholo i ka nui o ka ikaika friction i ʻike ʻia e ka poloka.

A. 15 N

B. 40 N

C. 43 N

D. 80 N

ʻIke ʻia:

Nuipaʻa (m) = 40 kg

Ikaika (F) = 200 N

Hoʻolalelale (a) = 3 m/s ²

Makemake ʻia: Ka ikaika kuʻi (F _g )

Lōlā:

ʻO ke kaulike o ke kānāwai lua o ka neʻe ʻana o Newton

∑ F = ma

∑ F = ikaika upena, m = nuipa, a = wikiwiki

ʻO ke kuhikuhi o ka ikaika F i ka ʻākau, ʻo ke kuhikuhi o ka ikaika kuʻi i ka hema (ʻo ke kuhikuhi o ka ikaika kuʻi e kūʻē i ke kuhikuhi o ka neʻe ʻana o ka mea).

E koho i ka ʻākau e like me ka maikaʻi a me ka hema e like me ka maikaʻi ʻole.

∑ F = ma

F – F _g = ma

200 – F _g = (40)(3)

200 – F _g = 120

F _g = 200 – 120

F _g = 80 Newton

ʻO D ka pane pololei.

7. E kau i ka poloka A me ke kaumaha o 100-grams ma luna o ka poloka B me ke kaumaha o 300 grams, a laila ua paʻi ʻia ka poloka B me ka ikaika o 5 N i luna. E hoʻoholo i ka ikaika maʻamau i hoʻokau ʻia e ka poloka B ma ka poloka A.

A. 1 N

B. 1.25 N

C. 2 N

D. 3 N

ʻIke ʻia:

Ikaika (F) = 5 Newton

Ka nuipa o ka poloka A (m _A ) = 100 grams = 0.1 kg

Ka nuipa o ka poloka B (m _B ) = 300 grams = 0.3 kg

Ka wikiwiki o ke koʻikoʻi (g) = 10 m/s ²

Kaumaha o ka poloka A (w _A ) = (0.1 kg)(10 m/s ² ) = 1 kg m/s ² = 1 Newton

Kaumaha o ka poloka B (w _B ) = (0.3 kg)(10 m/s ² ) = 3 kg m/s ² = 3 Newtons

Makemake ʻia: Ka ikaika maʻamau i hoʻokau ʻia e ka poloka B i ka poloka A

Lōlā:

Aia kekahi mau mana e hana ana ma nā poloka ʻelua, e like me ka mea i hōʻike ʻia ma ke kiʻi.

F = ka ikaika paʻi (hana ma ka poloka B)

w _A = ke kaumaha o ka poloka A (hana ma ka poloka A)

w _B = ke kaumaha o ka poloka B (hana ma ka poloka B)

N _A = ka ikaika maʻamau i hoʻokau ʻia e ka poloka B ma ka poloka A (Hana ma ka poloka A)

N _A ' = ka ikaika maʻamau i hoʻokau ʻia e ka poloka A ma ka poloka B (Hana ma ka poloka B)

E hoʻopili i ke kānāwai ʻelua o ka neʻe ʻana o Newton ma nā poloka ʻelua:

∑ F = ma

F – w _A – w _B + N _A – N _A ' = (m _A + m _B ) a

ʻO N _A a me N _A ' nā ikaika hana-pane i loaʻa ka nui like akā ʻokoʻa ke kuhikuhi no laila ua hoʻopau ʻia mai ka hoohalike.

F – w _A – w _B = (m _A + m _B ) a

5 – 1 – 3 = (0.1 + 0.3) a

5 – 4 = (0.4) a

1 = (0.4) a

a = 1 / 0.4

a = 2.5 m/s ²

E hoʻopili i ke kānāwai ʻelua o ka neʻe ʻana o Newton ma ka poloka A:

∑ F = ma

N _A – w _A = m _A a

N _A – 1 = (0.1)(2.5)

ʻAʻole maopopo - ₁ = 0.25

ʻAʻole maopopo = 1 + _0.25

NA = 1.25 _Newtons

ʻO ka pane pololei ʻo B.

8. He mea me ke kaumaha o 4 N i kākoʻo ʻia e ke kaula a me ka pulley. Hana ka ikaika o 2 N ma ka poloka a huki ʻia kekahi wēlau o ke kaula e ka ikaika o 9 N. E hoʻoholo i ka ikaika upena e hana ana ma ka mea X.

A. 3 N i luna

B. 4 N i lalo

C. 9 N i luna

D. 9 N i lalo

ʻIke ʻia:

Kaumaha o X (w _X ) = 4 Newton

Ka ikaika huki (F _x ) = 2 Newton

Ka ikaika hoʻohaʻahaʻa (F _T ) = 9 Newtons

Makemake ʻia: Hana ka ikaika ʻupena ma luna o ka mea

Lōlā:

Nā mana i luna kū pololei e hana ana ma luna o ka mea

Ua like ka nui o ka ikaika hoʻopaʻa ma nā ʻāpana a pau o ke kaula. No laila, ʻo ka ikaika hoʻopaʻa he 9 N.

Nā mana i lalo i luna e hana ana ma luna o ka mea

ʻElua mau mana e hana ana ma ka mea X a ua kau pololei nā mana ʻelua i lalo, ʻo ka ʻāpana moe o ke kaumaha w _x a me ka ʻāpana moe o ka mana F _x.

Hana ka ikaika upena ma luna o ka mea

F _T – w _X – F _x = 9 – 4 – 2 = 9 – 6 = 3

ʻO ka ikaika upena e hana ana ma ka mea X he 3 Newtons, i luna pololei.

ʻO ka pane pololei ʻo A.

9. He mea i hoʻomaha mua ma luna o kahi ʻili pālahalaha laumania. Hana ka ikaika o 16 N ma luna o ka mea no laila e wikiwiki ka mea ma 2 m/s ^2. Inā ʻo ka mea like i hoʻomaha ma luna o kahi ʻili pālahalaha ʻino no laila e hana ka ikaika friction ma luna o ka mea he 2 N, a laila e hoʻoholo i ka wikiwiki o ka mea inā hana ka ikaika like o 16 N ma luna o ka mea.

A. 1.75 m/s ²

B. 1.50 m/s ²

C. 1.00 m/s ²

D. 0.88 m/s ²

ʻIke ʻia:

Ikaika (F) = 16 Newtons = 16 kg m/s ²

Hoʻolalelale (a) = 2 m/s ²

Ka ikaika kuʻi (F _fric ) = 2 Newtons = 2 kg m/ ^s2

Makemake ʻia: Ka wikiwiki o ka mea?

Lōlā:

ʻIli pālahalaha laumania (ʻaʻohe ikaika kuʻi):

ΣF = ma

F = ma

16 = (m) 2

m = 16 / 2

m = 8 kg

He 8 kilokani ke kaumaha o ka mea.

ʻIli pālahalaha ʻāwiliwili (aia ka ikaika friction):

ΣF = ma

F – F _fric = ma

16 – 2 = 8 a

14 = 8 a

a = 14 / 8

a = 1.75 m/s ²

ʻO ka wikiwiki o ka mea he 1.75 m/ ^s².

ʻO ka pane pololei ʻo A.

10. Pahu ʻo Tom lāua ʻo Andrew i kahi mea ma ka papahele laumania. Pahu ʻo Tom i ka mea me ka ikaika o 5.70 N. Inā he 2.00 kg ke kaumaha o ka mea a he 2.00 ms ^-2 ka wikiwiki i ʻike ʻia e ka mea , a laila e hoʻoholo i ka nui a me ke kuhikuhi o ka ikaika e hana ai ʻo Tom.

A. 1.70 N a ʻo kona kuhikuhi ke kūʻē i ka ikaika i hana ʻia e Andre.w

B. 1.70 N a ua like kona kuhikuhi me ka ikaika i hana ʻia e Andrew

C. 2.30 N a ʻo kona kuhikuhi ke kūʻē i ka ikaika i hana ʻia e Andrew.

D. 2.30 N a ua like kona kuhikuhi me ka ikaika i hana ʻia e Andrew.

ʻIke ʻia:

Ka ikaika paʻi i hana ʻia e Andrew (F ₁ ) = 5.70 Newton

Ka nuipa o ka mea (m) = 2.00 kg

Hoʻolalelale (a) = 2.00 m/s ²

Makemake ʻia: Ka nui a me ke kuhikuhi o ka ikaika i hana ʻia e Tom (F ₂ )?

Lōlā:

E hoʻopili i ke kānāwai ʻelua o ka neʻe ʻana o Newton:

∑ F = ma

F ₁ + F ₂ = ma

5.70 + F ₂ = (2)(2)

5.70 + F ₂ = 4

F ₂ = 4 – 5.70

F ₂ = – 1.7 Newton

Ua hōʻike ka hōʻailona Minus ua kū'ē ʻo (F ₂ ) i ka hana ikaika paʻi a Andrew (F ₁ ).

ʻO ka pane pololei ʻo A.

11. Inā like ke kaumaha o ka poloka, ʻo wai ke kiʻi e hōʻike ana i ka wikiwiki liʻiliʻi loa?

pāʻoihana

Ka ikaika ʻupena A:

ΣF = 4 N + 2 N – 3 N = 6 N – 3 N = 3 Newtons, hema

Ka ikaika ʻupena B:

ΣF = 2 N + 3 N – 4 N = 5 N – 4 N = 1 Newtons, ma ka ʻākau.

Ka ikaika ʻupena C:

ΣF = 4 N + 3 N – 2 N = 7 N – 2 N = 5 Newtons, ma ka ʻākau.

Ka ikaika ʻupena D:

ΣF = 3 N + 4 N + 2 N = 9 Newtons, ma ka ʻākau

ʻO ke kaulike o ke kānāwai ʻelua o Newton:

ΣF = ma

a = ΣF / m

a = wikiwiki, ΣF = ikaika upena, m = nuipa

Ma muli o ke ʻano hana i luna, ua kūlike pololei ka wikiwiki (a) me ka ikaika ʻupena (ΣF) a ua kūlike ʻole me ka nuipaʻa (m). Inā like ka nuipaʻa o kahi mea, ʻo ka nui o ka ikaika hopena, ʻo ka nui o ka wikiwiki a i ʻole ka liʻiliʻi o ka ikaika hopena, ʻo ka liʻiliʻi o ka wikiwiki.
Ma muli o ka helu ʻana ma luna, ʻo ka ikaika liʻiliʻi loa he 1 Newton no laila ʻo ka wikiwiki hoʻi ka mea liʻiliʻi loa.

ʻO ka pane pololei ʻo B.

ʻAʻole maopopo

12. Hana kekahi mau ikaika ma luna o kahi mea me ke kaumaha o 20 kg, e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei.

E hoʻoholo i ka wikiwiki o ka mea.

ʻIke ʻia:

Ka nuipa o ka mea (m) = 20 kg

Ka ikaika ʻupena (ΣF) = 25 N + 30 N – 15 N = 40 N

Makemake ʻia: Ka wikiwiki o kahi mea

Lōlā:

ʻO ka wikiwiki o ka mea i helu ʻia me ka hoʻohana ʻana i ka hoohalike o ke kānāwai ʻelua o Newton:

ΣF = ma

a = ΣF / m = 40 N / 20 kg = 2 N/kg = 2 m/s ²

ʻAʻole maopopo

13. ʻO wai ka ʻōlelo ma lalo nei e wehewehe ana i ke kānāwai ʻekolu o Newton?

(1) Ua paʻi aku nā ohua i mua i ka wā i pale koke ai ke kaʻa

(2) ʻAʻole e hāʻule nā ​​puke ma ka pepa ke huki koke ʻia ka pepa

(3) I ka wā e pāʻani ana i ka papa heʻe nalu ke hoʻokuke ka wāwae i ka honua i hope a laila e paheʻe ka papa heʻe nalu i mua

(4) Ua paʻi hope ʻia nā waʻa, neʻe i mua

Lōlā:

(1) Ke kānāwai mua o Newton

(2) Ke kānāwai mua o Newton

(3) Ke kānāwai ʻekolu o Newton

(4) Ke kānāwai ʻekolu o Newton

[wpdm_package id='470′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

Nā pilikia i hoʻoponopono ʻia ma nā kānāwai neʻe o Newton - Ka ikaika maʻamau 

1. He mea e kau ana ma luna o kahi papaʻaina, i hōʻike ʻia ma ke kiʻi ma lalo nei. ʻO ke kaumaha o ka mea he 1 kg. ʻO ka wikiwiki o ka umekaumaha he 9.8 m/s ^2. E hoʻoholo i ka ikaika maʻamau i hoʻokau ʻia ma luna o ka mea e ka papaʻaina.

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

Ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (1 kg)(9.8 m/s² ⁾ = 9.8 kg m/s² ⁼ 9.8 Newtons

Makemake ʻia: ka ikaika maʻamau (N)

Lōlā:

Ua hoʻomaha ka mea ma luna o ka papaʻaina, no laila ʻo ka ikaika ʻupena ma luna o ka mea he ʻole (ke kānāwai mua a ʻelua paha o Newton). Hana pololei ke kaumaha o ka mea i lalo, i ke kikowaena o ka Honua. Pono kekahi ikaika ʻē aʻe ma luna o ka mea e kaulike ai i ka ikaika umekaumaha . Ke hoʻomaha nei ka mea ma luna o ka papaʻaina, i hiki ai i ka papaʻaina ke hoʻopuka i kēia ikaika i luna. ʻO ka ikaika i hoʻopuka ʻia e ka papaʻaina ua kapa pinepine ʻia he ikaika maʻamau (N). ʻO ke ʻano maʻamau he kū pololei.

E koho i ke kuhikuhi i luna ma ke ʻano he kuhikuhi y maikaʻi. ʻO ka ikaika upena ma luna o ka mea:

∑ Fy = 0

N – w = 0

N = w

N = mg

N = 9.8 Newton

ʻO ka ikaika maʻamau ma luna o ka mea, i hoʻokau ʻia e ka papaʻaina he 9.8 N i luna.

ʻAʻole maopopo

2. ʻElua mau mea e kau ana ma luna o kahi papaʻaina. ʻO ke kaumaha o ka mea 1 (m1 ₎ = 1 kg, ke kaumaha o ka mea 2 (m2 ₎ = 2 kg, ka wikiwiki ma muli o ke koʻikoʻi (g) =9.8 m/s2 ^. E hoʻoholo i ka nui a me ke kuhikuhi o ka ikaika maʻamau i hoʻokau ʻia e m2 _ma ka m1 _a me ka ikaika maʻamau i hoʻokau ʻia e ka papaʻaina ma ka _m2.

pāʻoihana

ʻIke ʻia:

Ka nuipa o ka mea 1 (m1 ₎ = 1 kg

Ka nuipa o ka mea 2 (m2 ₎ = 2 kg

Ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha o ka mea 1 (w ₁ ) = m ₁ g = (1)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Kaumaha o ka mea 2 (w ₂ ) = m ₂ g = (2)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

Makemake ʻia: N ₁ a me N ₂

Lōlā:

(a) Ka ikaika maʻamau i hoʻokau ʻia e m ₂ i ka m ₁ (N ₁ )

N ₁ = w ₁ = 9.8 Newton

Piʻi ke kuhikuhi o N _{1 .}

(b) Ka ikaika maʻamau i hoʻokau ʻia e ka papa ma luna o ka m ₂ (N ₂ )

N ₂ = w ₁ + w ₂ = 9.8 Newton + 19.6 Newton = 29.4 Newton

Piʻi ke kuhikuhi o N _{2 .}

ʻAʻole maopopo

3. He mea e kau ana ma luna o ka papa ʻaina. ʻO ke kaumaha o ka mea he 2 kg, ʻo ka wikiwiki ma muli o ke koʻikoʻi he 9.8 m/s ^2. ʻO ka nui o ka ikaika F he 10 Newtons. E huli i ka nui a me ke kuhikuhi o ka ikaika maʻamau i hoʻokau ʻia e ka papa ʻaina ma luna o ka mea.

pāʻoihana

ʻIke ʻia:

Ka nuipa o ka mea (m) = 2 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (2 kg)(9.8 m/s² ⁾ = 19.6 kg m/s² ⁼ 19.6 Newtons

Ikaika F (F) = 10 Newton

Makemake ʻia : ka nui a me ke kuhikuhi o ka ikaika maʻamau (N)

Lōlā:

ke kuhikuhi o ka ikaika maʻamau i luna.

Ka nui o ka ikaika maʻamau:

∑ F = 0

N – F – w = 0

N = F + w

N = 10 Newton + 20 Newton

N = 30 Newton

ʻAʻole maopopo

4. He mea e kau ana ma luna o kahi papaʻaina. ʻO ke kaumaha o ka mea he 1 kg, ʻo ka wikiwiki ma muli o ke koʻikoʻi he 9,8 m/s² ^, ʻo ka ikaika F ₁ he 10 N a ʻo ka ikaika F ₂ he 20 N. E hoʻoholo i ka nui a me ke kuhikuhi o ka ikaika maʻamau i hoʻokau ʻia e ka papaʻaina ma luna o ka mea. g = 9.8 m/ ^s²

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

Ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

Kaumaha (w) = mg = (1 kg)(9.8 m/s² ⁾ = 9.8 kg m/s² ⁼ 9.8 Newtons

F1 = 10 _Newtons

F2 = 20 _Newtons

Makemake ʻia: ka nui a me ke kuhikuhi o ka ikaika maʻamau (N)

Lōlā:

Piʻi ke kuhikuhi o ka ikaika maʻamau.

Ka nui o ka ikaika maʻamau:

∑ F = 0

N – F ₂ – w + F ₁ = 0

N = F ₂ + w – F ₁

N = 20 Newton + 9.8 Newton – 10 Newton

N = 19.8 Newton

ʻAʻole maopopo

5. ʻO ke kaumaha o ka mea (m) = 2 kg, ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s² ^, ke kihi = 30 ^o . E huli i ka nui a me ke kuhikuhi o ka ikaika maʻamau i hoʻokau ʻia ma luna o ka mea.

Lōlā:

ʻO w ke kaumaha, ʻo w _x ka ʻāpana pae o ke kaumaha, ʻo w _y ka ʻāpana kū pololei o ke kaumaha, ʻo N ka ikaika maʻamau.

ʻIke ʻia:

ka nuipaʻa (m) = 2 kg

ka wikiwiki o ke koʻikoʻi (g) = 9.8 m/s ²

kaumaha (w) = mg = (2 kg)(9.8 m/s² ⁾ = 19.6 kg m/s² ⁼ 19.6 Newtons

w _x = w sin 60 ^o = (19.6 N)(0.5) √ 3 = 9.8 √ 3 Newtons

w _y = w cos 60 = (19.6 N)(0.5) = 9.8 Newtons

Makemake ʻia: ka ikaika maʻamau (N)

Lōlā:

∑ F = 0

N – w _y = 0

N = w _y

N = 9.8 Newton

ʻAʻole maopopo

[wpdm_package id='467′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

Ua hoʻoponopono ʻia nā pilikia ma nā kānāwai neʻe o Newton - Mass, a me ke kaumaha

1. ʻO ke kaumaha o kahi nuipa 1 kg ma ka ʻili o ka Honua he… g = 9.8 m/s ²

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

ʻO ka wikiwiki ma muli o ke koʻikoʻi ma ka ʻili o ka Honua (g) = 9.8 m/s ²

Makemake ʻia: kaumaha (w)

Lōlā:

w = mg

m = ka nuipa (ʻO ke anakahi SI o ka nuipa ʻo ke kilokani, kg)

g = ka wikiwiki ma muli o ke koʻikoʻi (ʻO ke anakahi SI o g he m/s ² )

w = kaumaha (ʻO ke anakahi SI o w he kg m/s ² a i ʻole Newton)

Kaona:

w = (1 kg)(9.8 m/s² ⁾ = 9.8 kg m/s² ⁼ 9.8 Newtons

ʻAʻole maopopo

2.

(a) E kahakiʻi i ka ikaika o ke koʻikoʻi (kaumaha) e hana ana ma luna o ka mea ke hoʻomaha ka mea ma luna o kahi papaʻaina, e like me ka mea i hōʻike ʻia ma ke kiʻi (a).

(b) E kahakiʻi i ka ikaika o ke kaumaha (kaumaha) a me kona mau ʻāpana e hana ana ma luna o kahi mea e paheʻe ana i lalo i kahi mokulele hilig , e like me ka mea i hōʻike ʻia ma ke kiʻi (b)

pāʻoihana

ʻO ke kuhikuhi o ke kaumaha e iho ana i lalo i ke kikowaena o ka Honua.

w _x = ka ʻāpana pae o ke kaumaha a me w _y = ka ʻāpana kū pololei o ke kaumaha

ʻAʻole maopopo

3. ʻO ke kaumaha o kahi pahu he 1 kg a ʻo ka wikiwiki ma muli o ke koʻikoʻi he 9.8 m/s ^2. E huli (a) ke kaumaha (b) ka ʻāpana moe a me ka ʻāpana kū o ke kaumaha.

pāʻoihana

Kaumaha: w = mg = (1 kg)(9.8 m/s² ⁾ = 9.8 kg m/s² ⁼ 9.8 Newtons

ʻO ka ʻāpana pae o ke kaumaha:

w _x = w sin 30 ^o = (9,8 N)(0,5) = 4.9 Newtons

ʻO ka ʻāpana kū pololei o ke kaumaha:

w _y = w cos 30 ^o = (9.8 N)(0.5√3) = 4.9√3 Newtons

ʻAʻole maopopo

[wpdm_package id='458′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

Nā pilikia i hoʻoponopono ʻia ma ka neʻe laina - Neʻe i luna a i lalo i ka hāʻule manuahi

1. Hoʻolei kekahi kanaka i ka pōpō i luna i ka lewa me ka wikiwiki mua o 20 m/s. E helu i ke kiʻekiʻe o kona piʻi ʻana. E hoʻowahāwahā i ke kū'ē ʻana i ka wai. ʻO ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/ ^s2.

pāʻoihana

Hoʻohana mākou i kekahi o kēia mau kaulike kinematic no ka neʻe ʻana ma ka wikiwiki mau , e like me ka mea i hōʻike ʻia ma lalo nei.

vt = v _o + _ma

s = v _o t + ½ ma ²

vt ₂ = v _o ^{2 +} 2 es

ʻIke ʻia:

Koho mākou i ke kuhikuhi i luna ma ke ʻano he maikaʻi a me ke kuhikuhi i lalo ma ke ʻano he maikaʻi ʻole.

Ka wikiwiki mua (v _o ) = 20 m/s (maikaʻi i luna)

Ka wikiwiki o ke koʻikoʻi (g) = – 10 m/s ² (i lalo maikaʻi ʻole).

ʻO ka wikiwiki hope loa (vt ₎ = 0 (ʻo kona wikiwiki he ʻole no kekahi manawa ma ke kiʻekiʻe loa)

Makemake ʻia: Kiʻekiʻe loa (h)

Lōlā:

vt ₂ = v _o ^{2 + 2} gh

0 = (20 ² ) + 2(-10) h

0 = 400 – 20 hola

400 = 20 hola

h = 400 / 20 = 40 / 2 = 20 mika

ʻAʻole maopopo

2. Hoʻolei kekahi kanaka i kahi pōhaku i luna ma 20 m/s ʻoiai e kū ana ma ka lihi o ka pali, i hiki ai i ka pōhaku ke hāʻule i ke kumu o ka pali he 100 mika ma lalo.

(a) Pehea ka lōʻihi o ka hiki ʻana o ka pōpō i ke kumu o ka pali (b) Ka wikiwiki hope ma mua o ka paʻi ʻana o ka pōhaku i ka honua. Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s ^2. E hoʻowahāwahā i ke kū'ē ʻana i ka wai.

ʻIke ʻia:

Koho mākou i ke kuhikuhi i luna ma ke ʻano he maikaʻi a me ke kuhikuhi i lalo ma ke ʻano he maikaʻi ʻole.

Kiʻekiʻe (h) = -100 mika (maikaʻi ʻole no ka mea ʻo ke kūlana hope loa ma lalo o ke kūlana mua)

Ka wikiwiki mua (v _o ) = 20 m/s (maikaʻi i luna)

Ka wikiwiki o ke koʻikoʻi (g) = -10 m/s ² (iho maikaʻi ʻole)

Makemake ʻia:

(a) Ka manawa ma ka lewa a i ʻole ka manawa manawa (t)

(b) Ka wikiwiki hope loa ( _vt )

Lōlā:

(a) Ka manawa (t)

ʻIke ʻia:

Kiʻekiʻe (h) = -100 mika (maikaʻi ʻole no ka mea ʻo ke kūlana hope loa ma lalo o ke kūlana mua)

Ka wikiwiki mua (v _o ) = 20 m/s (maikaʻi i luna), Ka wikiwiki o ka umekaumaha (g) = -10 m/s ² (maikaʻi ʻole i lalo).

h = v _o t + ½ gt ²

-100 = (20) t + ½ (-10) t ²

-100 = 20 t – 5 t ²

-5 t ² + 20 t + 100 = 0

Hoʻohana mākou i ke ʻano quadratic:

(b) Ka wikiwiki hope loa

vt ₂ = v _o ^{2 + 2} gh

vt ₂ = (20 ^{2 ) + 2} (-10)(-100)

vt ₂ = 400 + ²⁰⁰⁰

vt ₂ = ²⁴⁰⁰

vt = 49 m/ _s

ʻAʻole maopopo

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[wpdm_package id='517′]

1. Ka mamao a me ka neʻe ʻana
2. ʻO ka wikiwiki awelika a me ka wikiwiki awelika
3. Ka wikiwiki mau
4. Hoʻolalelale mau
5. Neʻe hāʻule manuahi
6. Neʻe i lalo i ka hāʻule manuahi
7. Neʻe i luna a i lalo i ka hāʻule manuahi

heluhelu hou

Nā pilikia i hoʻoponopono ʻia ma ka neʻe laina - Neʻe i lalo i ka hāʻule manuahi

1. Ua kiola ʻia kahi pōpō i lalo me ka wikiwiki mua he 10 m/s a hiki i ka honua i loko o 2 kekona. E huli i ka wikiwiki hope ma mua pono o ka paʻi ʻana o ka pōpō i ka honua. Ka wikiwiki o ke koʻikoʻi (g) = 10 m/s ^2. E hoʻowahāwahā i ke kū'ē ʻana o ka wai.

ʻIke ʻia:

Ka wikiwiki mua (v _o ) = 10 m/s

Ka manawa i hala (t) = 2 kekona

Ka wikiwiki o ke koʻikoʻi (g) = 10 m/s ²

Makemake ʻia: Ka wikiwiki hope loa ( _vt )

Lōlā:

ʻO ka hoʻolalelale ʻana he 10 m/s ² ʻo ia hoʻi ka hoʻonui ʻia o ka wikiwiki ma 10 m/s i kekona. Ma hope o 3 kekona, ʻo ka wikiwiki = 30 m/s.

Ka wikiwiki hope loa = 10 m/s + 20 m/s = 30 m/s.

Nā kaulike Kinematic no ka neʻe ʻana ma ka wikiwiki mau , e like me ka mea i hōʻike ʻia ma lalo nei:

vt = v _{o + ma ………} . 1

h = v _o t + ½ ma ² ………. 2

v _t ² = v _o ² + 2 ah ………. 3

vt = v _{o +} g t

vt = 10 + ₍ 10)(2)

vt = 10 + 20 = 30 m/ _s

Ka wikiwiki hope loa = v _t = 30 m/s

ʻAʻole maopopo

2. Ua kiola ʻia kekahi pōhaku i lalo mai kahi alahaka me ka wikiwiki mua he 5 m/s a hiki i ka wai i loko o 2 kekona. E helu i ke kiʻekiʻe o ke alahaka.

ʻIke ʻia:

Ka wikiwiki mua (v _o ) = 5 m/s

Ka manawa i hala (t) = 2 kekona

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s ²

Makemake ʻia: ke kiʻekiʻe o ke alahaka (h)

Lōlā:

h = v _o t + ½ gt ²

h = (5)(2) + ½ (10)(2) ²

h = 10 + (5)(4)

h = 10 + 20

h = 30 mika

ʻAʻole maopopo

3. Ua kiola ʻia kahi pōpō i lalo me ka wikiwiki mua he 10 m/s mai ke kiʻekiʻe o 80 mika. E huli (a) Manawa ma ka lewa (b) Ka wikiwiki hope ma mua pono o ka paʻi ʻana o ka pōpō i ka honua.

ʻIke ʻia:

kiʻekiʻe (h) = 80 mika

Ka wikiwiki mua (v _o ) = 10 m/s

Ka wikiwiki o ke koʻikoʻi (g) = 10 m/s ²

Makemake ʻia:

(a) Ka manawa (t)

(b) Ka wikiwiki hope loa ( _vt )

Lōlā:

(a) Ka manawa (t)

Ka wikiwiki hope loa:

vt ₂ = v _o ^{2 + 2} gh

v _t ² = (10) ² + 2(10)(80) = 100 + 1600 = 1700

vt = 41 m/ _s

Ka manawa (t):

vt = v _{o +} g t

41 = 10 + (10)(t)

41 – 10 = 10 t

31 = 10 t

t = 31 / 10 = 3,1 kekona

(b) Ka wikiwiki hope loa ( _{vt )}?

vt = 41 m/ _s

ʻAʻole maopopo

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[wpdm_package id='517′]

1. Ka mamao a me ka neʻe ʻana
2. ʻO ka wikiwiki awelika a me ka wikiwiki awelika
3. Ka wikiwiki mau
4. Hoʻolalelale mau
5. Neʻe hāʻule manuahi
6. Neʻe i lalo i ka hāʻule manuahi
7. Neʻe i luna a i lalo i ka hāʻule manuahi

heluhelu hou