A 14,000 kg locomotive is traveling along a level stretch of track at a constant velocity
of 18 m/s when the engineer spots a damsel in distress tied to the railway tracks ahead.
The engineer immediately applies all the breaks so that the train wheels lock up, e.g. the
steel wheels are now sliding, not rolling, on the steel track. The distance between the
locomotive and the damsel at the instant the engineer slams on the breaks is 25 m. The
rolling coefficient of friction for steel on steel is μr = 0.002, while the dynamic coefficient of friction for steel on steel is 0.60. Did the engineer spot the damsel and apply the breaks in time to avoid running over her? If yes, how much additional time did the engineer have before he had to slam on the breaks. If now, how much earlier should he have applied the breaks to avoid running over the damsel?
The engineer did not apply the brakes in time.
0.145 seconds earlier.
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