The Transformation of Momentum and Energy Between Inertial Frames
Suppose we have inertial frames O and O' with O' moving olong the positive x axis of o with constant speed
A particle moving with velocity
in O has momentum equal to
and energy
where
In the inertial frame O' the velocity is
the momentum is
and the energy is
where
The velocities
and
are given by
and
Hence
and