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Astrophysics Challenge #3 — Supernova Remnants

The death of
a massive star.

Astrophysics Hard

Problem

A massive star ended its life in a supernova. The expanding remnant now has a radius of \( 1.89 \times 10^{17}\ \mathrm{m} \) and grows at a steady \( 6.0 \times 10^6\ \mathrm{m/s} \). How many years ago did the star explode?

  • Remnant radius\( 1.89 \times 10^{17}\ \mathrm{m} \)
  • Expansion speed\( 6.0 \times 10^6\ \mathrm{m/s} \)
  • One year\( 3.15 \times 10^7\ \mathrm{s} \)
  • Answer inyears
Assume the expansion speed has stayed constant since the explosion.
Hint: run the film backwards — at constant speed, \( t = \tfrac{d}{v} \) gives seconds. The last step is turning an enormous number of seconds into years.
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