Nā kuʻi ʻana inelastic hapa ma ke ana hoʻokahi - nā pilikia a me nā hoʻonā

1. A 500-grhe mea, ʻo A, e neʻe ana ma 10 m / s a me ka mea 200-gram, B, e neʻe ana ma 12 m/s. Hoʻokokoke nā mea kekahi i kekahi a kuʻi. Inā ʻo ka wikiwiki o ka mea A ma hope o ka hookui ʻO 6 m/s ka wikiwiki, he aha ka wikiwiki o ka mea B ma hope o ke kuʻi ʻana?

ʻIke ʻia:

Ka Mass o ka mea 1 (m1) = 500 grams = 0.5 kg

Ka Mass o ka mea 2 (m2) = 200 grams = 0.2 kg

Hoʻomaka ka wikiwiki o ka mea 1 (v1) = -10 m/s

Ka wikiwiki mua o ka mea 2 (v2) = 12 m/s

ʻO ka wikiwiki hope loa o ka mea 1 (v1') = 6 m/s

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

makemake : ka wikiwiki hope loa o ka mea 2 (v2')

Lōlā:

m1 v1 +m2 v2 = m1 v1' + m2 v2'

(0.5)(-10) + (0.2)(12) = (0.5)(6) + (0.2)(v2')

-5 + 2.4 = 3 + 0.2 v2'

-2.6 = 3 + 0.2 v2'

-2.6 – 3 = 0.2 v2'

-5.6 = 0.2 v2'

v2' = -5.6 / 0.2

v2' = -28 m/s

ʻO ka wikiwiki o ka mea 2 ma hope o ke kuʻi ʻana he 28 m/s.

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

ike no hoi  Nā kuʻi - nā pilikia a me nā hoʻonā

2. Hoʻokokoke nā mea ʻelua me ke kaumaha like kekahi i kekahi a kuʻi. ʻO ka wikiwiki o ka mea 1 he 6 m/s a ʻo ka wikiwiki o ka mea 2 he 8 m/s. Ma hope o ke kuʻi ʻana, neʻe ka mea 2 i ka hema me ka wikiwiki o 5 m/s. He aha ka nui a me ke kuhikuhi o ka wikiwiki o ka mea 1 ma hope o ka hookui?

ʻike:

Ka Mass o ka mea 1 (m1) = m

Ka Mass o ka mea 2 (m2) = m

Ka wikiwiki mua o ka mea 1 (v1) = -6 m/s

ka wikiwiki mua o ka mea 2 (v2) = 8 m/s

ʻO ka wikiwiki hope loa o ka mea 2 (v2') = -5 m/s

makemake : ka nui a me ke kuhikuhi o ka mea 1 ma hope o ke kuʻi ʻana

Lōlā:

Haʻilula o ka mālama ʻana i ka momentum linear :

m1 v1 +m2 v2 = m1 v1' + m2 v2'

mv1 +m v2 = m v1' + m v2'

m (ʻiwi)1 + i loko2) = m (v1' + v2')

v1 + i loko2 = v1' + v2'

-6 + 8 = v1' – 5

2 = v1' – 5

2 + 5 = v1'

v1' = 7 m/s

Ka wikiwiki o ka mea 1 ma hope o ke kuʻi ʻana (v1') is 3m/s.

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

ike no hoi  Nā gratings diffraction - nā pilikia a me nā hoʻonā

3. He like ke kuhikuhi o ka pōpō 1-kg a me ka pōpō 2-kg a ua kuʻi like lāua me ke ʻano inelastic. Ma mua o ke kuʻi ʻana, neʻe ka pōpō 1 me ka wikiwiki o 10 m/s a neʻe ka pōpō 2 me ka wikiwiki o 5 m/s. ʻO ka wikiwiki o ka pōpō 2 ma hope o ke kuʻi ʻana he 4 m/s. E hoʻoholo i ka wikiwiki o ka pōpō 1 ma hope o ke kuʻi ʻana.

ʻIke ʻia:

Ka Mass poepoe 1 (m1) = 1 kg

Ka Mass poepoe 2 (m2) = 2 kg

Ka wikiwiki o ka pōpō 1 (i loko1) = 10 m/s

Ka wikiwiki o ka pōpō 2 (v2) = 5 m/s

ʻO ka wikiwiki hope loa o ka pōpō 2 (v2') = 4 m/s

Hōʻike ka hōʻailona hoʻohui o ka wikiwiki he like ke kuhikuhi o nā pōpō.

makemake : ka wikiwiki hope loa o ka pōpō 1 (v1')

Lōlā:

m1 v1 +m2 v2 = m1 v1' + m2 v2'

(1)(10) + (2)(5) = (1)(v)1') + (2)(4)

10 + 10 = v1' + 8

20 – 8 = v1'

v1' = 12 m/s

ʻO ka wikiwiki o ka pōpō 1 ma hope o ke kuʻi ʻana 12m/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

Waiho i ka manaʻo