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.
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.
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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- Nā pilikia a me nā hoʻonā o ka momentum linear
- Nā pilikia a me nā hoʻonā o ka momentum a me ka impulse
- Nā pilikia a me nā hoʻonā o nā kuʻi elastic kūpono i hoʻokahi ana
- Nā pilikia a me nā hoʻonā no nā kuʻi ʻana inelastic kūpono i hoʻokahi ana
- Nā pilikia a me nā hoʻonā no nā collisions inelastic i hoʻokahi ana