1. He mea A he 500-kalama , e neʻe ana ma 10 m/s a me kahi mea B he 200-kalama, e neʻe ana ma 12 m/s. Hoʻokokoke nā mea kekahi i kekahi a kuʻi. Inā he 6 m/s ka wikiwiki o ka mea A ma hope o ke kuʻi ʻana , he aha ka wikiwiki o ka mea B ma hope o ke kuʻi ʻana?
ʻIke ʻia:
Ka nuipa o ka mea 1 (m1 ) = 500 grams = 0.5 kg
Ka nuipa o ka mea 2 (m2 ) = 200 grams = 0.2 kg
Ka wikiwiki mua o ka mea 1 (v 1 ) = -10 m/s
Ka wikiwiki mua o ka mea 2 (v 2 ) = 12 m/s
ʻO ka wikiwiki hope loa o ka mea 1 (v 1 ') = 6 m/s
Hōʻike nā hōʻailona hoʻohui a me ka hoʻēmi e neʻe ana nā mea i ka ʻaoʻao ʻē aʻe.
Makemake ʻia : ka wikiwiki hope loa o ka mea 2 (v 2 ')
Lōlā:
m1 v1 +m2 v2 = m1 v1' + m2 v2'
(0.5)(-10) + (0.2)(12) = (0.5)(6) + (0.2)(v 2 ')
-5 + 2.4 = 3 + 0.2 v 2 '
-2.6 = 3 + 0.2 v 2 '
-2.6 – 3 = 0.2 v 2 '
-5.6 = 0.2 v 2 '
v 2 ' = -5.6 / 0.2
v 2 ' = -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.
ʻAʻole maopopo
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 ke kuʻi ʻana?
ʻike:
Ka nuipa o ka mea 1 (m1 ) = m
Ka nuipa o ka mea 2 (m2 ) = m
Ka wikiwiki mua o ka mea 1 (v 1 ) = -6 m/s
ka wikiwiki mua o ka mea 2 (v 2 ) = 8 m/s
ʻO ka wikiwiki hope loa o ka mea 2 (v 2 ') = -5 m/s
Makemake ʻia : ka nui a me ke kuhikuhi o ka mea 1 ma hope o ke kuʻi ʻana
Lōlā:
ʻO ke ʻano o ka mālama ʻana i ka momentum linear :
m1 v1 +m2 v2 = m1 v1' + m2 v2'
mv 1 + m v 2 = m v 1 ' + m v 2 '
m (v 1 + v 2 ) = m (v 1 ' + v 2 ')
v 1 + v 2 = v 1 ' + v 2 '
-6 + 8 = v 1 ' – 5
2 = v 1 ' – 5
2 + 5 = v 1 '
v 1 ' = 7 m/s
ʻO ka wikiwiki o ka mea 1 ma hope o ke kuʻi ʻana (v 1 ') he 3 m/s.
Hōʻike nā hōʻailona hoʻohui a me ka hoʻēmi e neʻe ana nā mea i ka ʻaoʻao ʻē aʻe.
ʻAʻole maopopo
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:
Nui o ka pōpō 1 (m1 ) = 1 kg
Nui o ka pōpō 2 (m2 ) = 2 kg
ʻO ka wikiwiki o ka pōpō 1 (v 1 ) = 10 m/s
ʻO ka wikiwiki o ka pōpō 2 (v 2 ) = 5 m/s
ʻO ka wikiwiki hope loa o ka pōpō 2 (v 2 ') = 4 m/s
Hōʻike ka hōʻailona hoʻohui o ka wikiwiki he like ke kuhikuhi o nā pōpō.
Makemake ʻia : ka wikiwiki hope loa o ka pōpō 1 (v 1 ')
Lōlā:
m1 v1 +m2 v2 = m1 v1' + m2 v2'
(1)(10) + (2)(5) = (1)(v 1 ') + (2)(4)
10 + 10 = v 1 ' + 8
20 – 8 = v 1 '
v 1 ' = 12 m/s
ʻO ka wikiwiki o ka pōpō 1 ma hope o ke kuʻi ʻana he 12 m/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
