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Poperechnaya i prodol'naya massa v dvizhusheisya inercial'noi sisteme otscheta
20.02.2014 22:56 | V. Sh. Yanbikov
Uvazhaemye kollegi. Proshu oznakomit'sya s moei novoi rabotoi po adresu:http://webfile.ru/account Poperechnaya i prodol'naya massa v dvizhusheisya inercial'noi sisteme otscheta Avtor: Yanbikov Vil'dyan Shavkyatovich, Volgograd Abstract: Ishodya iz skorosti rasprostraneniya perenoschika vzaimodeistviya v dvizhusheisya inercial'noi sisteme otscheta, privoditsya raschet poperechnoi i prodol'noi massy elementarnyh chastic. Keywords: Raschet poperechnoi i prodol'noi mass, absolyutnoe kosmicheskoe prostranstvo, dvizhushayasya inercial'naya sistema otscheta. Rassmotrim, kak vychislyayutsya poperechnaya i prodol'naya massa v dvizhusheisya inercial'noi sisteme otscheta. Inercial'naya sistema otscheta dvizhetsya vdol' osi OZ s nekotoroi skorost'yu v otnositel'no absolyutno nepodvizhnoi sistemy otscheta, tak chto osi X,Y,Z sovpadayut s osyami X,Y,Z. Pust' absolyutno odinakovye chasticy A i V pokoyatsya v dvizhusheisya sisteme otscheta X,Y,Z. (ris.1.). Massa kazhdoi iz chastic A i V ravna m v dvizhusheisya sisteme otscheta. V nepodvizhnoi sisteme otscheta ( v = 0 ) rasstoyanie mezhdu chasticami A i V ravno ro . V sisteme otscheta X,Y,Z rasstoyanie mezhdu temi zhe chasticami budet ravno r . Pust' mezhdu chasticami A i V pereskakivaet perenoschik silovogo vzaimodeistviya. Pri v = 0 period obmena perenoschikom vzaimodeistviya budet raven T0 = 2ro/s ; gde s skorost' sveta v vakuume. V dvizhusheisya sisteme otscheta X,Y,Z period obmena perenoschikom vzaimodeistviya budet raven T = 2r/(c " " ) ; Zadadim uslovie r = ro , poluchim T = T0/(" " ) ; Chastota obmena perenoschikom vzaimodeistviya v sisteme otscheta X,Y,Z budet ravna n = no ; gde no = 1/ T0 i n = 1/T ; Sila vzaimodeistviya mezhdu chasticami A i V pri v = 0 proporcional'na no; togda mozhno zapisat' Fo = k no gde k koefficient proporcional'nosti; Vyrazim silu Fo cherez massu i uskorenie v sisteme otscheta X,Y,Z, poluchim k no = mo αo ; gde mo massa chasticy A ili V pri v = 0 ; αo uskorenie chasticy A ili V pri v = 0 . Sila vzaimodeistviya mezhdu chasticami v sisteme otscheta X,Y,Z budet ravna F = k n = m α ; gde m massa chasticy A ili V v sisteme otscheta X,Y,Z, α uskorenie chasticy A ili V pri v ≠ 0 . Oslablenie sily vzaimodeistviya mezhdu chasticami v sisteme otscheta X,Y,Z obuslovleno umen'sheniem chastoty obmena perenoschikami vzaimodeistviya mezhdu chasticami A i V ; F = Fo ; Zadadim uslovie α = αo togda poluchaem sootnoshenie F/Fo = m/mo = ; Otsyuda poluchaetsya m = mo ; Togda mozhno sdelat' vyvod: umen'shenie sily vzaimodeistviya mezhdu chasticami A i V po zakonu F = Fo , pri uslovii r = ro i α = αo ekvivalentno vozrastaniyu massy chastic A i V po zakonu m = mo/ (1) Pust' teper' chasticy A i V pokoyashiesya v sisteme otscheta X,Y,Z raspolozheny tak, kak eto pokazano na ris.2. i dvizhutsya so skorost'yu v vdol' polozhitel'nogo napravleniya osi OZ. Massa kazhdoi iz chastic A i V ravna m v dvizhusheesya sisteme otscheta. V nepodvizhnoi sisteme otscheta ( v = 0 ) rasstoyanie mezhdu chasticami A i V ravno ro . V sisteme otscheta X,Y,Z rasstoyanie mezhdu temi zhe chasticami budet ravno r Zadadim uslovie r = ro . Naidem zavisimost' prodol'noi massy chasticy A ili V ot skorosti ee dvizheniya otnositel'no absolyutno nepodvizhnoi sistemy otscheta X,Y,Z. Naidem period obmena perenoschikom vzaimodeistviya mezhdu chasticami A i V. Skorost' perenoschika vzaimodeistviya ot chasticy A k chastice V ravna cz+ = s (1- ) ; Skorost' perenoschika vzaimodeistviya ot chasticy V k chastice A ravna cz- = ) ; Vremya dvizheniya perenoschika vzaimodeistviya ot chasticy A k chastice V ravno t+ = r/(s (1- ) ) ; Vremya dvizheniya perenoschika vzaimodeistviya ot chasticy B k chastice A ravno t- = r/( ) ) ; Vremya obmena t = t+ + t- = 2r/(c 3/2 ); Ili t = t/( 3/2 ) ; gde t = 2r/c ; Period obmena T = T0/( 3/2 ); Chastota obmena perenoschikom vzaimodeistviya v sisteme otscheta X,Y,Z budet ravna n = no 3/2 ; gde no = 1/T0 i n = 1/T ; Sila vzaimodeistviya mezhdu chasticami A i V pri v = 0 proporcional'na no; togda mozhno zapisat' Fo = k no gde k koefficient proporcional'nosti; Vyrazim silu Fo cherez massu i uskorenie v sisteme otscheta X,Y,Z, poluchim k no = mo αo ; gde mo massa chasticy A ili V pri v = 0 ; αo uskorenie chasticy A ili V pri v = 0 . Sila vzaimodeistviya mezhdu chasticami v sisteme otscheta X,Y,Z budet ravna F = k n = m α ; gde m massa chasticy A ili V v sisteme otscheta X,Y,Z, α uskorenie chasticy A ili V pri v ≠ 0 . Oslablenie sily vzaimodeistviya mezhdu chasticami v sisteme otscheta X,Y,Z obuslovleno umen'sheniem chastoty obmena perenoschikami vzaimodeistviya mezhdu chasticami A i V ; F = Fo 3/2 ; Zadadim uslovie α = αo , togda poluchaem sootnoshenie F/Fo = m/mo = 3/2 ; Otsyuda poluchaetsya m = mo 3/2 ; Togda mozhno sdelat' vyvod: umen'shenie sily vzaimodeistviya mezhdu chasticami A i V po zakonu F = Fo 3/2 , pri uslovii r = ro i α = αo , ekvivalentno vozrastaniyu massy chastic A i V po zakonu m = mo/( 3/2 ) (2)
- >> Poperechnaya i prodol'naya massa v dvizhusheisya inercial'noi sisteme otscheta
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