Ka neʻe laina ʻole like - nā pilikia a me nā hoʻonā

Ka neʻe laina ʻole like - nā pilikia a me nā hoʻonā

1.

Hōʻike ka papa ma luna i ka ʻikepili o ʻekolu mau mea e hele ana i ka mamao like ma ka wikiwiki mau.

He aha ka wikiwiki hope loa o ka mea P a me ka wikiwiki mua o ka mea Q?

Lōlā:

ʻO ka mea mua, e hoʻoholo i ka mamao i hele ʻia e ka mea 3.

Ka mamao i hele ʻia e ka mea 3 :

ʻIke ʻia :

Ka wikiwiki mua (v _o ) = 0 m/s

Ka wikiwiki hope loa (vt ₎ = 30 m/s

Hoʻolalelale (a) = 3 m/s ²

Makemake ʻia : Ka mamao

Lōlā:

vt ₂ = v _o ^{2 +} 2 es

vt ₂ – v _o ² = 2 e like ^me

30 ² – 0 ² = 2 (3) s

900 – 0 = 6 kekona

900 = 6 kekona

s = 900 / 6

s = 150 mika

ʻO ka wikiwiki hope loa o ka mea 1 :

ʻIke ʻia:

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

Hoʻolalelale (a) = 4 m/s ²

Ka mamao (s) = 150 mika

Makemake ʻia: Ka wikiwiki hope loa ( _vt )

Lōlā:

vt ₂ = v _o ^{2 +} 2 es

v _t ² = 20 ² + 2 (4)(150)

vt ₂ = 400 + ¹²⁰⁰

vt ₂ = ¹⁶⁰⁰

vt = 40 m/ _s

ʻO ka wikiwiki mua o ka mea 2:

ʻIke ʻia:

Ka wikiwiki hope loa (vt ₎ = 50 m/s

Hoʻolalelale (a) = 3 m/s ²

Ka mamao (s) = 150 mika

Makemake ʻia: Ka wikiwiki mua (v _o )

Lōlā:

vt ₂ = v _o ^{2 +} 2 es

vt ^{2 – 2 e like} _me = v _o ²

50 ² – 2(3)(150) = v _o ²

2500 – 900 = v _o ²

1600 = v _o ²

v _o = 40 m/s

2. Hele ʻekolu mau mea ma kahi mokulele ʻākea ma ka wikiwiki mau. Loaʻa i nā mea ʻekolu ka wikiwiki like. ʻIkepili o nā mea ʻekolu i ka wā e hele ana i loko o 10 kekona, ua hōʻike ʻia ma ke kiʻi ma lalo.

E hoʻoholo iā P a me Q.

Lōlā:

ʻO ka mea mua, e hoʻoholo i ka wikiwiki o ka mea 1.

Ka wikiwiki o ka mea 1:

ʻIke ʻia:

ʻO ka wikiwiki mua (v _o ) = 2 m/s

ʻO ka wikiwiki hope loa (vt ₎ = 22 m/s

Ka mamao (s) = 120 mika

Makemake ʻia: Ka mamao

Lōlā:

vt ₂ = v _o ^{2 +} 2 es

vt ₂ – v _o ² = 2 e like ^me

22 ² – 2 ² = 2 a (120)

484 – 4 = 240 a

480 = 240 a

a = 480/240

a = 2 m/s ²

ʻO ka wikiwiki mua o ka mea 2 :

ʻIke ʻia:

Hoʻolalelale (a) = 2 m/s ²

Ka wikiwiki hope loa (vt ₎ = 24 m/s

Ka mamao (s) = 140 mika

Makemake ʻia: Ka wikiwiki mua (v _o )

Lōlā:

vt ₂ = v _o ^{2 +} 2 es

24 ² = v _o ² + 2 (2)(140)

576 = v _o ² + 560

576 – 560 = v _o ²

16 = v _o ²

v _o = 4 m/s

Ka mamao o ka mea 3:

ʻIke ʻia:

Ka wikiwiki mua (v _o ) = 0 m/s

Ka wikiwiki hope loa (vt ₎ = 20 m/s

Hoʻolalelale (a) = 2 m/s ²

Makemake ʻia : Ka mamao (mau)

Lōlā:

vt ₂ = v _o ^{2 +} 2 es

20 ² = 0 ² + 2 (2) s

20 ² = 2 (2) s

400 = 4 kekona

s = 400/4

s = 100 mika s

3. E hoʻoholo i ka mamao i hele ʻia e ka mea i loko o 40 kekona.

Lōlā:

ʻĀpana 1 = ʻāpana o ka huinahā = (20-0)(8-0) = (20)(8) = 160 mika

ʻĀpana 2 = ʻāpana o ka huinakolu = ½ (25-20)(8-0) = ½ (5)(8) = (5)(4) = 20 mika

ʻĀpana 3 = ʻāpana o ka huinakolu = ½ (30-25)(8-0) = ½ (5)(8) = (5)(4) = 20 mika

ʻĀpana 4 = ʻāpana o ka huinahā = (40-30)(8-0) = (10)(8) = 80 mika

ʻO ka mamao i hele ʻia i loko o 40 kekona = 160 + 20 + 20 + 80 = 280 mika

4. ʻO ka loli o ka wikiwiki o ka mea i loko o 2 kekona i hōʻike ʻia e ka pakuhi ma lalo. E hoʻoholo i ka mamao i hele ʻia e ka mea.

Lōlā:

ʻĀpana 1 = ʻāpana o ka huinakolu = ½ (5-0)(20-0) = ½ (5)(20) = (5)(10) = 50 mika

ʻĀpana 2 = ʻāpana o ka huinahā = (15-5)(20-0) = (10)(20) = 200 mika

ʻĀpana 3 = ʻāpana o ka huinakolu = ½ (20-15)(20-0) = ½ (5)(20) = (5)(10) = 50 mika

Ka mamao i hele ʻia i loko o 20 kekona = 50 + 200 + 50 = 300 mika

1. He aha ka mea e hoʻokaʻawale ai i ka neʻe laina like ʻole mai ka neʻe laina like?
   • pane mai: ʻO ka neʻe laina like ʻole e pili ana i ka loli o ka wikiwiki i ka hala ʻana o ka manawa, ʻo ia hoʻi aia ka wikiwiki e pili ana. I ka hoʻohālikelike ʻana, ʻo ka neʻe laina like e hōʻike ana e neʻe ana kahi mea me ka wikiwiki mau a ʻaʻohe wikiwiki.
2. Pehea e pili ai ka mamao i hele ʻia e kahi mea ma ka neʻe laina ʻaʻole like i ka ʻāpana ma lalo o kāna pakuhi wikiwiki-manawa?
   • pane mai: Ua like ka mamao i hele ʻia e kahi mea ma ka neʻe laina ʻaʻole like me ka ʻāpana ma lalo o kāna pakuhi wikiwiki-manawa.
3. Inā he laina ʻauwai pololei ma luna o ke axis manawa ka pakuhi wikiwiki-manawa o kahi mea, he aha kāna e hōʻike ai e pili ana i ka neʻe ʻana o ka mea?
   • pane mai: Hōʻike ia e hele ana ka mea i ka wikiwiki maikaʻi mau. Ke piʻi mau nei ka wikiwiki o ka mea ma kahi wikiwiki paʻa.
4. No ke aha hiki ʻole ke helu maʻalahi ʻia ka wikiwiki awelika ma ke ʻano he awelika o nā wikiwiki mua a me ka wikiwiki hope loa i ka neʻe ʻana ʻaʻole like?
   • pane mai: No ka neʻe like ʻole, ʻaʻole mau ka wikiwiki, no laila hiki i ka neʻe maoli ke ʻoi aku a emi mai paha ma mua o ka mea i wānana ʻia ma ka awelika wale ʻana i nā wikiwiki mua a me ka hope. ʻO ke ʻano kūpono no ka neʻe like ʻole, ʻo ia ka hoʻohui ʻana i ka wikiwiki ma luna o ka manawa i hāʻawi ʻia a i ʻole e hoʻohana i nā kaulike kinematic e helu ana i ka wikiwiki.
5. Pehea ʻoe e wehewehe ai i ka neʻe ʻana o kahi mea nona ka pakuhi wikiwiki-manawa he laina pololei e iho ana i lalo?
   • pane mai: Hōʻike ka laina pololei i lalo ma ka pakuhi wikiwiki-manawa e neʻe ana ka mea me ka hoʻolalelale maikaʻi ʻole mau, ʻo ia hoʻi, ke emi nei ka wikiwiki a lohi paha inā he wikiwiki maikaʻi kona i ka wā mua.
6. I ka neʻe ʻana ʻaʻole like, pehea e pili ai ka wikiwiki koke i kahi manawa kikoʻī i ka pali o ka pakuhi neʻe-manawa i kēlā manawa?
   • pane mai: Hāʻawi ʻia ka wikiwiki koke i kahi manawa kikoʻī i ka neʻe ʻana ʻaʻole like e ka pali a i ʻole ka gradient o ka pakuhi neʻe-manawa ma kēlā wahi kikoʻī.
7. He aha ka manaʻo o kahi piʻo ma ka pakuhi neʻe-manawa e pili ana i ke ʻano o ka neʻe ʻana o kahi mea?
   • pane mai: Hōʻike ka piʻo ma ka pakuhi neʻe-manawa i ka neʻe ʻana o ka mea i kahi neʻe like ʻole, e hōʻike ana e loli ana ka wikiwiki o ka mea (e hoʻonui ana a e emi ana paha) i ka hala ʻana o ka manawa.
8. Inā he parabolic ka pakuhi neʻe-manawa o kahi mea a hāmama i luna, he aha kāu e hoʻomaopopo ai e pili ana i kona wikiwiki?
   • pane mai: Inā he parabola ka pakuhi neʻe-manawa e hāmama ana i luna, hōʻike ia e hele ana ka mea i ka hoʻolalelale maikaʻi mau.
9. Pehea e pili ai ka wikiwiki o kahi mea ma ka neʻe like ʻole i ka ʻāpana ma lalo o kāna pakuhi wikiwiki-manawa?
   • pane mai: ʻO ka loli o ka wikiwiki (kahi i hoʻonui ʻia e ka nuipa e hāʻawi i ka loli o ka momentum) o ka mea ma ka neʻe ʻole like e like me ka ʻāpana ma lalo o kāna kiʻi wikiwiki-manawa. He mea nui e hoʻomaopopo he hāʻawi ka kiʻi wikiwiki-manawa i ka loli o ka wikiwiki, ʻaʻole ka wikiwiki pololei.
10. He aha ka hopena o ka hoʻolalelale maikaʻi ʻole (deceleration) i ka wikiwiki o kahi mea i ka neʻe like ʻole?

• pane mai: ʻO ka wikiwiki maikaʻi ʻole, i kapa pinepine ʻia ʻo ka deceleration, e hopena i ka emi ʻana o ka wikiwiki o ka mea. Inā he wikiwiki maikaʻi ka mea i ka wā mua a loaʻa i ka wikiwiki maikaʻi ʻole, e emi ana kona wikiwiki, a inā hoʻomau ka deceleration, hiki i ka mea ke hoʻololi i kona kuhikuhi o ka neʻe ʻana.