Time of your life

You're watering the plants in your garden when you notice an atomic bomb has been set off 400 m from your garden. At time \(t = 4.3 \) ms after the explosion, the fireball is 330 m away.

How much time do you have before you're vaporized by the advancing fireball?


  • An insignificant amount of energy is lost to dissipative processes.
  • The fireball's advancing front is roughly spherical.
  • The surrounding atmosphere has a density of \(\rho\) \(\mbox{kg/m}^3\).
  • The ambient pressure, in the face of the bomb energy, is completely irrelevant.

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