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.

Proceeding from the fundamental equation of relativistic dynamics, fin

1.	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.
Answer» `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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