Frame is the rest frame of a space station

PHYSICS · Multi-part · Fermi University Physics · Relativity & Gravitation · Special relativity: spacetime and kinematics · Special relativity: spacetime and kinematics

Relativity and Gravitation, Ch The postulates and the Lorentz transformation

Problem

Frame

S

is the rest frame of a space station. Frame

S'

is the rest frame of a freighter that moves at

v = 0.600c

along the common

+x

axis of

S

; the axes of the two frames are parallel and the origins coincide at

t = t' = 0

. Both frames are inertial. Take

c = 2.998\times10^{8}\ \mathrm{m\,s^{-1}}

. ((a)) A navigation beacon flashes once, at

x = 900\ \mathrm{m}

t = 4.00\ \mu\mathrm{s}

S

. Find the coordinates

x'

and

t'

of this event in

S'

. ((b)) A courier drone moves along the

x

axis at

0.400c

as measured in

S

. Find its velocity in

S'

, as a multiple of

c

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