Ua kapa ʻia nā kuʻi ʻana ma waena o nā mea kuʻi elastic kūpono inā like ka momentum a me ka ikehu kinetic o kēlā me kēia mea ma mua o ke kuʻi ʻana me ka momentum a me ka ikehu kinetic o kēlā me kēia mea ma hope o ke kuʻi ʻana. I nā huaʻōlelo ʻē aʻe, pili kahi kuʻi elastic kūpono. ke kānāwai o ka mālama ʻana i ka momentum a me ke kānāwai o ka mālama ʻana i ka ikehu kinetic. ʻO ka hoʻohana ʻana i ka huaʻōlelo elastic e hōʻike ana ma hope o ke kuʻi ʻana, ʻaʻole e hui pū nā mea ʻelua i hoʻokahi a i ʻole e pili pū akā e lele.
Ua mālama ʻia ka momentum o kēlā me kēia mea:
Ua mālama ʻia ka ikehu kinetic o kēlā me kēia mea:
Pono ka hāmau ʻana o kahi kuʻi elastic kūpono a ʻaʻole e hoʻopuka i ka wela ma muli o ka friction ma waena o nā mea e kuʻi ana. Inā hoʻopuka ka kuʻi ma waena o ʻelua mau mea i ke kani a me ka wela, a laila ʻaʻole i mālama ʻia ka ikehu kinetic o nā mea. Ma waho aʻe o ka hoʻololi ʻia ʻana i ke kani a me ka wela, ua hoʻololi ʻia kekahi ikehu kinetic i ikehu kūloko. ʻO kahi laʻana o kahi kuʻi elastic kūpono he kuʻi ma waena o nā ʻāpana atomika a me nā subatomic.
I loko o ka pilikia kuʻi elastic kūpono, inā ʻike ʻia ka wikiwiki mua akā ʻaʻole ʻike ʻia ka wikiwiki hope loa, ʻaʻole hiki ke hoʻoponopono ʻia ka pilikia me ka hoʻohana ʻana i nā hoohalike 1.5 a me 1.6 wale nō. No laila, ua hoʻoponopono hou ʻia nā hoohalike ʻelua ma luna e loaʻa ai kahi hoohalike ʻē aʻe e hiki ke hoʻohana ʻia e hoʻoholo i ka wikiwiki hope loa.
Wehe i ka factor ½ a laila e hoʻoponopono i ka hoohalike 1.6.
Ka hoʻopunipuni ʻana i ka hoʻohālikelike 1.5
E puʻunaue i ka hoohalike 1.7 me ka hoohalike 1.8 e loaʻa ai ka hopena hope loa.
Hiki ke hoʻohana ʻia nā kaulike 1.5 a me 1.9 e hoʻoponopono i nā pilikia collision elastic kūpono. E hoʻohui i nā kaulike 1.5 a me 1.9 e loaʻa ai ʻelua mau kaulike no ka hoʻoholo ʻana i nā wikiwiki hope loa o nā mea ʻelua inā ʻike wale ʻia ko lākou mau nuipa a me nā wikiwiki mua.
I ka hoʻoponopono ʻana i nā pilikia me ka hoʻohana ʻana i ka hoohalike ma luna, e hoʻohana i ka hōʻailona kūpono no v.1 a me v2Inā neʻe ka mea 1 i ka ʻākau a laila v1 maikaʻi inā ʻaʻole inā neʻe ka mea 2 i ka hema a laila v2 maikaʻi ʻole. Inā neʻe nā mea ʻelua i nā ʻaoʻao ʻē aʻe akā ʻaʻole i wehewehe ʻia ke kuhikuhi o ka neʻe ʻana a laila v1 a me v2 pono e hāʻawi ʻia i kahi hōʻailona ʻokoʻa, no ka laʻana ʻo v1 maikaʻi a me v2 maikaʻi ʻole.
1. Ua like ke kaumaha o nā mea ʻelua
Inā m1 = m2 a laila v1' = v2 a me v2' = v1.
He aha inā neʻe nā mea ʻelua i nā ʻaoʻao ʻē aʻe? No ka laʻana, inā ma mua o ke kuʻi ʻana, neʻe ka mea 1 i ka ʻākau a neʻe ka mea 2 i ka hema, a laila ma hope o ke kuʻi ʻana, neʻe ka mea 1 i ka hema (v1' = – v2) a neʻe ka mea 2 i ka ʻākau (v2' = v1).
He aha inā ua mālie kekahi o nā mea i ka wā mua? Eia kekahi laʻana, inā ma mua o ke kuʻi ʻana, ua mālie ʻelua mau mea (v2 = 0) a laila ma hope o ke kuʻi ʻana, ua mau ka mea 1 (v1' = 0) a neʻe ka mea 2 i ka wikiwiki like me ka wikiwiki mua o ka mea 1 (v2' = v1). Inā ma mua o ke kuʻi ʻana, neʻe ka mea 1 i ka ʻākau, a laila ma hope o ke kuʻi ʻana, neʻe ka mea 2 i ka ʻākau. No laila, hoʻololi ka wikiwiki o nā mea ʻelua.
Laʻana pilikia.
1. ʻElua mau mea A (2 kg) a me B (2 kg) e neʻe ana ma nā ʻaoʻao ʻē aʻe me ka wikiwiki o 4 m/s a me 2 m/s. Inā kuʻi ka mea A me ka mea B ma ke ʻano elastic kūpono, he aha ka wikiwiki hope loa o ka mea A a me ka mea B?
Pahana
Ua ʻike ʻia :
mA = 2 kg, mB = 2 kg
vA = 4 m/s, vB = -2 m/s
Ua nīnau ʻia : ilokoAa me vB'
Pane :
vA' = -2 m/s a me vB' = 4 m/s
Ma hope o ke kuʻi ʻana, neʻe ka mea A ma ka wikiwiki o 2 m/s a neʻe ka mea B ma ka wikiwiki o 4 m/s, kahi e kūʻē ai ke kuhikuhi o ka neʻe ʻana o nā mea ʻelua. Inā ma mua o ke kuʻi ʻana, neʻe ka mea A i ka ʻākau a neʻe ka mea B i ka hema, a laila ma hope o ke kuʻi ʻana, neʻe ka mea A i ka hema a neʻe ka mea B i ka ʻākau.
2. Neʻe ka mea A (2 kg) i ka ʻākau ma ka wikiwiki o 2 m/s a kuʻi me ka mea B (2 kg) ʻo ia hoʻi ka mea mālie. Inā kuʻi nā mea ʻelua me ke ʻano elastic, he aha ka wikiwiki hope loa o ka mea A a me ka mea B?
Pahana
Ua ʻike ʻia :
mA = 2 kg, mB = 2 kg
vA = 2 m/s, vB = 0m/s
Ua nīnau ʻia : ilokoAa me vB'
Pane :
vA' = 0 a me vB' = 2 m/s
Ma hope o ke kuʻi ʻana, ua noho mālie ka mea A a neʻe ka mea B i ka ʻākau ma ka wikiwiki o 2 m/s.
2. ʻOkoʻa nā nuipa o nā mea ʻelua
Inā ʻokoʻa nā wikiwiki mua a me nā nuipa o nā mea ʻelua (ua liʻiliʻi ka ʻokoʻa), a laila ua ʻike ʻia ka wikiwiki hope loa me ka hoʻohana ʻana i nā kaulike 1.10 a me 1.11.
Inā i ka wā mua, ua paʻa ka mea 2 (v2 = 0) a laila loli ka hoohalike 1.10 i ka hoohalike 1.12 a loli ka hoohalike 1.11 i ka hoohalike 1.13.
Inā v2 = 0, m1 nui loa, m2 liʻiliʻi loa a laila ma ka hoʻoponopono ʻana i nā kaulike 1.12 a me 1.13 loaʻa iā mākou ʻo v1' = v1 a me v2' = 2v1Inā v2 = 0, m1 liʻiliʻi loa, m2 he nui loa ia, no laila ma ka hoʻoponopono ʻana i nā kaulike 1.12 a me 1.13 loaʻa iā mākou ʻo v1' = -v1 a me v2' = 0. Hōʻike nā hōʻailona maikaʻi a me nā hōʻailona maikaʻi ʻole i nā ʻaoʻao ʻē aʻe o ka neʻe ʻana o ka mea.
Laʻana pilikia.
1. ʻO kahi mea me ke kaumaha o 1 kg e neʻe ana ma ka wikiwiki o 20 m/s e kuʻi ana i kahi paia me ka elasticity kūpono. He aha ka wikiwiki hope loa o ka mea a me ka paia?
Pahana
Ua ʻike ʻia :
mA = 1 kg, vA = 20 m/s, mB = nui loa a me vB = 0
Ua nīnau ʻia : ilokoAa me vB'
Pane :
vA' = -20 m/s
vB' = 0
Ma hope o ke kuʻi ʻana, lele ka mea A ma ka wikiwiki o 20 m/s a noho paʻa ka mea B. Inā ma mua o ke kuʻi ʻana neʻe ka mea A i ka ʻākau, a laila ma hope o ke kuʻi ʻana neʻe ka mea A i ka hema.
