Mutual energy of relative motions

Wei-Hua Chieng*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A gun with it explosive energy can accelerate the bullet ball, with mass m, from zero velocity to velocity Δv. After the gun shoots a ball into the wall, the wall receives an energy of 1/2 m(Δv)2 which is converted from the explosive energy to the kinetic energy of the ball and then to heat and/or deformation energy of the wall. When a person carries the same gun on board of a high speed train in the speed V, the observer on the earth will see the kinetic energy change as 1/2m(V+Δv)2-1/2mV2 = 1/2m(Δv)2 + mVΔv when the gun on the train shoots the bullet ball. Where does the extra energy mVΔv come from? Is the gun powder explosive energy a frame-of-reference dependent quantity? Does it concern the theory of relativity by Albert Einstein? In this paper, the extra energy mVΔv is defined as the mutual energy of the relative motion which is a frame-of-reference dependent energy and may be transferred from one reference frame to the other.

Original languageEnglish
Title of host publication2015 IFToMM World Congress Proceedings, IFToMM 2015
PublisherNational Taiwan University
ISBN (Electronic)9789860460988
DOIs
StatePublished - 1 Jan 2015
Event14th International Federation for the Promotion of Mechanism and Machine Science World Congress, IFToMM 2015 - Taipei, Taiwan
Duration: 25 Oct 201530 Oct 2015

Publication series

Name2015 IFToMM World Congress Proceedings, IFToMM 2015

Conference

Conference14th International Federation for the Promotion of Mechanism and Machine Science World Congress, IFToMM 2015
CountryTaiwan
CityTaipei
Period25/10/1530/10/15

Keywords

  • Energy conservation
  • Momentum conservation

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