Bouncing on a slope

Detalhes bibliográficos
Autor(a) principal: Rostamian, Rouben
Data de Publicação: 2021
Outros Autores: Soane, Ana Maria, Tavares, Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/12994
Resumo: We analyze the motion of a point-mass projectile shot uphill above a slanted surface, which bounces from it without loss of energy. We show that consecutive bounces occur in equal time intervals and obtain an explicit formula for the number of uphill bounces before the motion reverses and the projectile heads downhill. Additionally, we show that the projectile rises to the same height above the surface on each bounce, and we determine the necessary and sufficient conditions under which it will retrace its path upon reversal.
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spelling Bouncing on a slopepoint-mass projectilebouncesequal time intervalsWe analyze the motion of a point-mass projectile shot uphill above a slanted surface, which bounces from it without loss of energy. We show that consecutive bounces occur in equal time intervals and obtain an explicit formula for the number of uphill bounces before the motion reverses and the projectile heads downhill. Additionally, we show that the projectile rises to the same height above the surface on each bounce, and we determine the necessary and sufficient conditions under which it will retrace its path upon reversal.Amer. Inst. PhysicsRCIPLRostamian, RoubenSoane, Ana MariaTavares, Jose2021-03-01T13:55:14Z2021-022021-02-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/12994engROSTAMIAN, Rouben; SOANE, Ana Maria; TAVARES, José M. – Bouncing on a slope. American Journal of Physics. ISSN 0002-9505. Vol. 89, N.º 2 (2021), pp. 143-1460002-950510.1119/10.00020991943-2909metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T10:06:58Zoai:repositorio.ipl.pt:10400.21/12994Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:21:01.217681Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Bouncing on a slope
title Bouncing on a slope
spellingShingle Bouncing on a slope
Rostamian, Rouben
point-mass projectile
bounces
equal time intervals
title_short Bouncing on a slope
title_full Bouncing on a slope
title_fullStr Bouncing on a slope
title_full_unstemmed Bouncing on a slope
title_sort Bouncing on a slope
author Rostamian, Rouben
author_facet Rostamian, Rouben
Soane, Ana Maria
Tavares, Jose
author_role author
author2 Soane, Ana Maria
Tavares, Jose
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Rostamian, Rouben
Soane, Ana Maria
Tavares, Jose
dc.subject.por.fl_str_mv point-mass projectile
bounces
equal time intervals
topic point-mass projectile
bounces
equal time intervals
description We analyze the motion of a point-mass projectile shot uphill above a slanted surface, which bounces from it without loss of energy. We show that consecutive bounces occur in equal time intervals and obtain an explicit formula for the number of uphill bounces before the motion reverses and the projectile heads downhill. Additionally, we show that the projectile rises to the same height above the surface on each bounce, and we determine the necessary and sufficient conditions under which it will retrace its path upon reversal.
publishDate 2021
dc.date.none.fl_str_mv 2021-03-01T13:55:14Z
2021-02
2021-02-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.21/12994
url http://hdl.handle.net/10400.21/12994
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv ROSTAMIAN, Rouben; SOANE, Ana Maria; TAVARES, José M. – Bouncing on a slope. American Journal of Physics. ISSN 0002-9505. Vol. 89, N.º 2 (2021), pp. 143-146
0002-9505
10.1119/10.0002099
1943-2909
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Amer. Inst. Physics
publisher.none.fl_str_mv Amer. Inst. Physics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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