Hyperloop: Dropping coins

Classical Mechanics Level 3

The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. While riding in the Hyperloop, some coins fall out of your pocket, taking 1/3 of a second to hit the ground. How much more quickly would the coins have hit the ground if you were sitting still in seconds?

Details and assumptions

  • The radius of the earth is \(6370~\mbox{km}\).
  • The Hyperloop travels at \(300~\mbox{m/s}\).
  • When sitting still relative to the Earth's surface, acceleration toward the Earth is \(-9.8~\mbox{m/s}^2\).

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