Nā kuʻi ʻole inelastic ma hoʻokahi ana - nā pilikia a me nā hoʻonā

1. Kūʻē kahi pōkā 30-gram e neʻe ana ma 30 m/s me kahi poloka 1-kg i ka wā hoʻomaha. E hoʻoholo i ka wikiwiki o ka poloka inā paʻa ka pōkā a me ka poloka ma muli o ke kuʻi ʻana.

ʻIke ʻia:

Ka nuipa o ka pōkā (m1 ₎ = 30 grams = 0.03 kg

Ka nuipa o ka poloka (m2 ₎ = 1 kg

Ka wikiwiki mua o ka pōkā ( v ₁ ) = 30 m/s

ka wikiwiki mua o ka poloka (v ₂ ) = 0 ( ka poloka i ka hoʻomaha )

Makemake ʻia : ka wikiwiki o ka pōkā a me ka poloka ma hope o ke kuʻi ʻana (v')

Lōlā:

m ₁ v ₁ + m ₂ v ₂ = (m ₁ + m ₂ ) v'

(0.03)(30) + (1)(0) = (0.03 + 1) v'

0.9 + 0 = 1.03 v'

0.9 = 1,03 v'

v' = 0.9 / 1,03

v' = 0.87 m/s

ʻAʻole maopopo

2. ʻO ka pōpō biliard A me ke kaumaha he 2 kg e neʻe ana me ka wikiwiki v _A = 6 ms ⁻¹ e kuʻi ana me ke alo me ka pōpō B me ke kaumaha like. Inā he inelastic kūpono ke kuʻi ʻana, he aha nā wikiwiki o nā pōpō ʻelua ma hope o ke kuʻi ʻana.

ʻIke ʻia:

Nuipaʻa A (m _A ) = 2 kg

Nuipaʻa B (m _B ) = 2 kg

Ka wikiwiki mua o ka pōpō A (v _A ) = -6 m/s

Ka wikiwiki mua o ka pōpō B (v _B ) = 4 m/s

Hōʻike nā hōʻailona hoʻohui a me ka hoʻēmi e neʻe ana nā mea i ka ʻaoʻao ʻē aʻe.

Makemake ʻia : ka wikiwiki o nā pōpō ʻelua ma hope o ke kuʻi ʻana. (v')

Lōlā:

m _A v _A + m _B v _B = (m _A ' + m _B ) v'

(2)(-6) + (2)(4) = (2 + 2) v'

-12 + 8 = 4 v'

-4 = 4 v'

v' = -4 / 4

v' = -1 m/s

ʻAʻole maopopo

3. m₁ = 3 kg a m₂ = 4 kg e hoʻokokoke aku kekahi i kekahi ma ke ʻaoʻao ʻē aʻe me ka wikiwiki o v₁ = 10m/s a v₂ = 12 m/s. Inā he inelastic loa ke kuʻi ʻana, he aha ka wikiwiki o nā pōpō ʻelua ma hope o ke kuʻi ʻana.

ʻIke ʻia:

Nuipaʻa o ka mea 1 (m1 ₎ = 3 kg

Nuipaʻa o ka mea 2 (m2 ₎ = 4 kg

ʻO ka wikiwiki o ka mea 1 (v ₁ ) = -10 m/s

ʻO ka wikiwiki o ka mea 2 (v ₂ ) = 12 m/s

Makemake ʻia : ka wikiwiki ma hope o ke kuʻi ʻana (v')

Lōlā:

m ₁ v ₁ + m ₂ v ₂ = (m ₁ ' + m ₂ ) v'

(3)(-10) + (4)(12) = (3 + 4) v'

-30 + 48 = 7 v'

18 = 7 v'

v' = 18 / 7

v' = 2.6 m/s

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1. Nā pilikia a me nā hoʻonā o ka momentum linear
2. Nā pilikia a me nā hoʻonā o ka momentum a me ka impulse
3. Nā pilikia a me nā hoʻonā o nā kuʻi elastic kūpono i hoʻokahi ana
4. Nā pilikia a me nā hoʻonā no nā kuʻi ʻana inelastic kūpono i hoʻokahi ana
5. Nā pilikia a me nā hoʻonā no nā collisions inelastic i hoʻokahi ana