Nā kuʻi elastic kūpono
Ua kapa ʻia kahi kuʻi ʻana o nā mea ʻelua he kuʻi elastic kūpono inā like ka momentum a i ʻole 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 ke kānāwai mālama momentum a me ke kānāwai mālama ikehu kinetic i nā kuʻi elastic kūpono. ʻO ka hoʻohana ʻana i ka huaʻōlelo elastic e hōʻike ana ma hope o ke kuʻi ʻana, ʻaʻole e pili pū nā mea ʻelua a ʻaʻole hoʻi e pili kekahi i kekahi akā e lele aku. Mālama ʻia ka momentum o kēlā me kēia mea.
Ua mālama ʻia ka momentum o kēlā me kēia mea.
m1 v1 +m2 v2 = m1 v1 ' + m2 v2 ' ………………….. Kaulike 1.5
Ua mālama ʻia ka ikehu kinetic o kēlā me kēia mea.
1/2 mv12 + 1⁄2 mv22 = 1/2 mv1'2 + 1⁄2 mv2'2 ………………….. Kaulike 1.6
Pono ka hui ʻana o nā mea ʻelua e kū pono ana me ka mālie a ʻaʻole e hoʻoulu i ka wela ma muli o ka hui ʻana ma waena o nā mea ʻelua e kū pono ana. Inā hoʻoulu ka hui ʻana o nā mea ʻelua i ka walaʻau a me ka wela, ʻaʻole i mālama ʻia ka ikehu kinetic o nā mea. Hoʻololi ʻia kekahi ikehu kinetic i ikehu kani a me ka ikehu wela, a hoʻololi ʻia kekahi i ikehu kūloko. ʻO kahi laʻana o ka hui ʻana o nā mea ʻelua e kū pono ana me ka elastic, ʻo ia ke kuʻi ʻana o nā ʻāpana atomika a me nā subatomic.
I loko o kahi pilikia o ke kuʻi elastic kūpono, inā ʻike ʻia ka wikiwiki mua ʻoiai ʻaʻole ʻike ʻia ka wikiwiki hope loa, ʻaʻole hiki ke hoʻoponopono ʻia ka pilikia ma ka hoʻohana wale ʻana i nā hoohalike 1.5 a me 1.6. No kēia kumu, ua hoʻoponopono ʻia nā hoohalike ʻelua e loaʻa ai nā hoohalike ʻē aʻe, hiki ke hoʻohana ʻia e hoʻoholo i ka wikiwiki hope loa.
Wehe i ka kumu 1/2 a laila hoʻoponopono i ka 1.6
m1 v12 +m2 v22 = m1 v1 ' 2 +m2 v2 ' 2
m1 v12 - m1 v1' 2 = m2 v2 ' 2 - m2 v22
m1 (v12 - v1' 2 ) = m2 (v2 ' 2 - v2 2) —> (a + b)(a – b) = a2 - b2
m1 (v1 + i loko1 ') (ʻoiaʻiʻo1 - v1 ') = m2 (v2 ' + v2 ) (ʻoiaʻiʻo2 ' – v2 ) ………………….. Kaulike 1.7
Hoʻoponopono i ka hoʻohālikelike 1.5
m1 v1 - m1 v1 ' = m2 v2 '- m2 v2
m1 (v1 - v1 ') = m2 (v2 ' – v2) ………………….. Kaulike 1.8
E puʻunaue i ka hoohalike 1.7 me ka hoohalike 1.8 e loaʻa ai ka hopena hope loa
(v1 + i loko1 ') = (ʻiwi2 ' + v2)
v1 - v2 = v2 ' – v1 '
v1 - v2 = – (ʻelua1 ' – v2 ') ………………….. Hoʻohālikelike 1.9
Hiki ke hoʻohana ʻia nā kaulike 1.5 a me 1.9 e hoʻoponopono i nā pilikia o nā kuʻi 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 ʻaʻole ʻike ʻia ko lākou mau nuipa a me nā wikiwiki mua.
I ka hoʻoponopono ʻana i nā nīnau me ka hoʻohana ʻana i nā kaulike ma luna, e hoʻohana i ka hōʻailona kūpono no v1 a me v2Inā neʻe ka mea 1 i ka ʻākau, v1 he maikaʻi, a ma ke ʻano ʻē, inā neʻe ka mea ʻelua i ka hema, v2 he maikaʻi ʻole. Inā neʻe nā mea ʻelua i nā ʻaoʻao like ʻole, akā ʻaʻohe ʻike e pili ana i nā kuhikuhi neʻe, v1 a me v2 pono e kau inoa ʻokoʻa ʻia, no ka laʻana, v1 he maikaʻi, a ʻo v2 he maikaʻi ʻole.
4.1.1 ʻElua mau mea o ka nuipa like
Inā m1 = m2iloko o1 ' = v2 a me v2' = v1 .
He aha inā e neʻe nā mea ʻelua ma nā ʻaoʻao ʻokoʻa?
Eia kekahi laʻana, inā ma mua o ke kuʻi ʻana, neʻe ka mea 1 i ka ʻākau a neʻe ka mea 2 i ka hema, e neʻe ka mea 1 i ka hema (v1' = – v2) a e neʻe ka mea 2 i ka ʻākau (v2' = v1) ma hope o ke kuʻi ʻana.
He aha inā e hoʻomaha ana kekahi o nā mea i ka wā mua?
Eia kekahi laʻana, inā ma mua o ke kuʻi ʻana ua hoʻomaha ka mea 2 (v2 = 0), e hoʻomaha ana ka mea 1 (v1' = 0) a e neʻe ka mea 2 ma ka wikiwiki like me ka wikiwiki mua o ka mea 1 (v2' = v1) ma hope o ke kuʻi ʻana. Inā ma mua o ke kuʻi ʻana e neʻe ka mea 1 i ka ʻākau, e neʻe ka mea 2 i ka ʻākau ma hope o ke kuʻi ʻana. No laila, hoʻololi nā mea ʻelua i nā wikiwiki.
Laʻana nīnau 4
Neʻe nā mea A (2 kg) a me B (2 kg) i nā ʻaoʻao ʻē aʻe ma ka wikiwiki o 4 m/s a me 2 m/s, kēlā me kēia. Inā kuʻi nā mea A a me B i loko o kahi kuʻi elastic kūpono, he aha nā wikiwiki hope loa o nā mea A a me B?
ʻIke ʻia:
mA = 2 kg, mB = 2 kg, vA = 4 m/s, vB = – 2 m/s
Makemake: vAa me vB '
Lōlā:
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 ma nā ʻaoʻao ʻē aʻe. Inā ma mua o ke kuʻi ʻana, neʻe ka mea A i ka ʻākau a neʻe ka mea B i ka hema, e neʻe ka mea A i ka hema a e neʻe ka mea B i ka ʻākau ma hope o ke kuʻi ʻana.
Laʻana nīnau 5
Neʻe ka mea A (2 kg) i ka ʻākau ma ka wikiwiki o 2 m/s a kuʻi me ka mea B (2 kg) e noho mālie ana. Inā kuʻi nā mea ʻelua i loko o kahi kuʻi elastic kūpono, he aha nā wikiwiki hope loa o nā mea A a me B?
ʻIke ʻia:
mA = 2 kg, mB = 2 kg, vA = 2 m/s, vB = 0m/s
Makemake: vA a me vB '
Lōlā:
vA' = 0 a me vB' = 2 m/s
Ma hope o ke kuʻi ʻana, ua kū ka mea A, a neʻe ka mea B i ka ʻākau ma ka wikiwiki o 2 m/s.
4.1.2 ʻElua mau mea o nā kaumaha like ʻole
Inā ʻokoʻa nā wikiwiki mua a me nā nuipa o nā mea ʻelua (ʻokoʻa liʻiliʻi), ʻike ʻia nā wikiwiki hope loa ma ka hoʻohana ʻana i nā kaulike 1.10 a me 1.11.
Inā hoʻomaha ka mea 2 i ka wā mua (v2 = 0), lilo ka hoohalike 1.10 i ka hoohalike 1.12 a lilo ka hoohalike 1.11 i ka hoohalike 1.13.
Inā v2 = 0, m1 he mea maikaʻi loa ia, a ʻo m2 he liʻiliʻi loa ia, ma ka hoʻoponopono ʻana i nā kaulike 1.12 a me 1.13 v1' = v1 a me v2' = 2v1 ua loaʻa. Inā v2 = 0, m1 he liʻiliʻi loa ia, a ʻo m2 he mea maikaʻi loa ia, ma ka hoʻoponopono ʻana i nā kaulike 1.12 a me 1.13 v1 ' = -v1 a me v2 ' = 0 i loaʻa. Hōʻike nā māka maikaʻi a me nā māka maikaʻi ʻole i nā kuhikuhi neʻe ʻē aʻe.
Laʻana nīnau 6
Neʻe kahi mea me ke kaumaha o 1 kg i ka wikiwiki o 20 m/s a kuʻi me kahi paia ma kahi kuʻi elastic kūpono. He aha nā wikiwiki hope o ka mea a me ka paia?
ʻIke ʻia:
mA = 1 kg, vA = 20 m/s, mB = maikaʻi loa, vB = 0
makemake : ilokoAa me vB'
Lōlā:
vA' = -20 m/s a me vB' = 0
Ma hope o ke kuʻi ʻana, lele aku ka mea A ma ka wikiwiki o 20 m/s a noho mālie ka mea B. Inā ma mua o ke kuʻi ʻana e neʻe ka mea A i ka ʻākau, neʻe ia i ka hema ma hope o ke kuʻi ʻana.
