InterviewSolution
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InterviewSolution
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Proceeding from the fundamental equation of relativistic dynamics, find: (a) under what circumstances the acceleration of a particle coincides in direction with the force F acting on ti, (b) the proportionality factors relating the force F and the acceleration w in the cases when F_|_v and F||v, where v is the velocity of the particle. |
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Answer» SOLUTION :`vecF=(d)/(DT)((m_0vecv)/(SQRT(1-v^2/c^2)))=m_0(vecv)/(sqrt(1-v^2/c^2))+m_0vecv/c^2vecv*vecv(1)/((1-v^2/c^2)^(3//2))` Thus `vecF_(_|_)=m_0(vecw)/(sqrt(1-beta^2)), vecw=vecv, vecw_|_vecv` `vecF_(||)=m_0(vecw)/((1-beta^2)^(3//2)), vecw=vecv, vecw_(||)vecv` |
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