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Q. The work done by a particle moving with a velocity of $0.7\, c$ (where c is the velocity of light) in empty space free of electromagnetic field and far away from all matter is:

ManipalManipal 2008Work, Energy and Power

Solution:

Acceleration of the particle
$ a=\frac{dv}{dt}=\frac{d}{dt}(0.7c)=0 $
( $ \because $ $ c= $ constant)
Force on the particle
$ F=ma=0 $
Thus, work done by a particle will be zero.