A cargo rocket accelerates with constant proper acceleration
PHYSICS · Multi-part · Fermi University Physics · Relativity & Gravitation · The equivalence principle and gravity as geometry · The equivalence principle and gravity as geometry
The Geometry of Gravity, Ch Accelerated observers, Rindler coordinates and the equivalence principle
Problem
A cargo rocket accelerates with constant proper acceleration a=15ms−2, carrying Rindler coordinates adapted to it, tail at ξ=0.
((a)) Find the acceleration, relative to the cargo floor, that a released parcel would appear to have, and its direction.
((b)) Find the exact ratio of the clock rate at the nose, ℓ=200m above the tail, to the clock rate at the tail.
((c)) Find the distance behind the tail at which g00 vanishes.