Calculate the length of a 120m (as measured by the astronaut) spaceship travelling at 0.85c as measured by a stationary observer

The length of the spaceship of 120m was measured at rest relative to the spaceship so we will take that as the proper length, dennoted Lproper
We first calculate the Lorentz factor:
Ɣ = 1/sqrt(1-(v/c)2)
Ɣ = 1/sqrt(1-0.852)
Ɣ = 1.8986... (Keep this number in your calculator as rounding now will affect your final answer)
Now, relate this to the formula for length contraction:
L = Lproper / Ɣ
L = 120/1.8986...
L = 63.2m as measured by the stationary observer

KM
Answered by Kerr M. Physics tutor

4310 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

How can an object be accelerating when it's velocity is constant, and how does centripetal acceleration work.


How can the average speedx of a gas molecule be derived?


A light wave with wavelength 590nm shines upon a metal and causes it to emit an electron with a speed of 5x10^5 m/s. What is the work function of the metal?


What are the SUVAT equations and how can I remember them?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning