A dastardly villain has tied an innocent victim to a train track. Stop him with your eye laser beams

You've always wanted to be able to shoot laser beams from your eyes (and really, who hasn't?). However, you don't want to just blow stuff up with your eye laser beams, You want to be able to stop trains and rescue people with them. Imagine: a dastardly villain has tied an innocent victim to a train track (cue ominous music). A \(10,000~\mbox{kg}\) locomotive is \(100~\mbox{m}\) away from the victim, traveling at \(20~\mbox{m/s}\). Here you come to save the day!

However, you can only save the day if your eye laser beams have enough power. What minimum power output in Watts must your eye laser beams have if you are to be able to stop the locomotive before it runs over the innocent victim?

Details and assumptions

  • Assume the locomotive perfectly reflects the light from your laser beam eyes. You don't want to blow stuff up, you just want to stop it.
  • Your eye laser beams put out a constant intensity of light.
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