A particle of rest mass m is moving with a velocity v\(\hat{k}\), with respect to an inertial frame S. The energy of the particle as measured by an observer S', who is moving with a uniform velocity u\(\hat{i}\) with respect to S (in terms of Yu = 1/\(\sqrt{1-u^2/c^2}\) and Yv = 1/\(\sqrt{1-v^2/c^2}\) is

1
YuYvm(c2 - uv)
2
YuYvmc2
3
\(\frac{1}{2}\)(Y+ Yv)mc2
4
\(\frac{1}{2}\)(Y+ Yv)m(c2 - uv)
5
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