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  3. 1 show that the angle and of the newtonian velocities...

Question: 1 show that the angle and of the newtonian velocities...

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1. Show that the angle heta and heta{}' of the Newtonian velocities eta and o {eta}'f a particle moving in parallel planes (x, y) and (x', y') of two IFRs connected by a boost widetilde{eta} in the x-direction are related by the following (angular aberration) equation (c = 1). What happens in the case of light (eta={eta}'=1)?

tan()sina (coso 8
2. Show that the Newtonian force, F = dp/dt, and the Newtonian acceleration, a = dv/dt, in any IRF are related by the equation

F = gamma ma+mrac{gamma^3}{c^2}(vcdot a)v

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