rvanveshana.com
v = 0.70c
STATIONARY GATE (L = 100 m)Rest Length Lā‚€ = 100mL = 71m

Live Telemetry & Summary

Observe the spaceship length contraction at different velocities. Rest length is too long to fit, but high speeds shrink the ship to fit inside the gate.

Lorentz Factor (Ī³):1.4003x
Proper Length (Lā‚€):100.0 m
Contracted Length (L):71.4 m
Length Reduction:-28.6%

Variable Adjuster

Velocity (v/c)0.7c
00.99
Rest Length (Lā‚€)100m
50150

Length Contraction Lab

LCTR

Length Contraction is the relativistic phenomenon where the length of an object in motion relative to an observer is measured to be shorter than its proper (rest) length. The contraction occurs only along the direction of motion and increases exponentially as the object approaches the speed of light.

L=L0/Ī³L = L_0 / \gamma

Whiteboard Solver Steps

Step 1

Lorentz Factor (Ī³) Calculation

The Lorentz factor determines the degree of contraction along the direction of motion.

Ī³=11āˆ’(v/c)2=11āˆ’(0.700)2=1.4003\gamma = \frac{1}{\sqrt{1 - (v/c)^2}} = \frac{1}{\sqrt{1 - (0.700)^2}} = 1.4003
Step 2

Length Contraction Calculation

The physical length of an object moving relative to an observer is measured to be shorter along its axis of motion.

L=L0Ī³=100.01.4003=71.414 mL = \frac{L_0}{\gamma} = \frac{100.0}{1.4003} = 71.414\text{ m}