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

3823 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

How does the strong nuclear force between two nucleons varies with separation of the nucleons. Please detail the range over which the force acts.


A ball is released from stationary at a great height. Explain how the forces acting on it change before it hits the ground and how these forces affect the velocity of the ball.


why does photoelectric emission occur only when there is a certain threshold frequency of incident radiation?


Define Newtons law of Gravitation (in words or an equation).


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:

© 2025 by IXL Learning