Kinetic Energy & Adhesion Physics

STOP! THAT! TRAIN!

Control runaway locomotive momentum, emergency pneumatic brakes, track grade, and wheel friction in real time before crashing through the terminal buffer stop.

Current Velocity
70.0mph
Stopping Distance
0m
Deceleration
0.00m/s²
Brake Disc Temp
85°C
Train is rolling at 70 mph towards the terminal buffer. Apply brakes now!

The Real Physics of Stopping a 5,000-Ton Train

Unlike road vehicles with rubber tires on porous asphalt, steel train wheels roll on smooth steel rails with extremely low rolling resistance (~0.0015). This provides incredible fuel efficiency, but makes emergency stopping difficult.

1. Wheel-Rail Adhesion (μ)

The maximum braking force before wheel slip is strictly capped by normal force times coefficient of adhesion (F_max = μ · N). When wet leaves or ice coat the rail, μ plunges from 0.35 down to 0.05, causing lockup and catastrophic sliding.

F_friction = μ(condition) × (Mass × g × cos θ)

2. Brake Fade & Heat Dissipation

Kinetic energy transforms entirely into thermal heat across wheel rims and brake discs. On heavy downhill grades, temperatures exceed 600°C, causing coefficient of friction to decay rapidly (thermal brake fade).

ΔE_thermal = ½ m (v_initial² - v_final²)

3. Pneumatic Air Propagation Delay

In mile-long freight trains, the emergency brake pipe pressure drop travels at the speed of sound through air (~950 ft/s). Cars at the rear only begin braking 6 to 10 seconds after the engineer pulls the handle.

t_lag = Train_Length / c_air + t_cylinder_fill
Enjoy this tool? Build your own with Super