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Exercise 103

Avg difficulty 2.5

A 5000 kg railcar hits a bumper (a spring) at 1 m/s, and the spring compresses by 0.1 m. Assume no damping.

  1. Find kk.
  2. How far does the spring compress when a 10000 kg railcar hits the spring at the same speed?
  3. If the spring would break if it compresses further than 0.3 m, what is the maximum mass of a railcar that can hit it at 1 m/s?
  4. What is the maximum mass of a railcar that can hit the spring without it breaking at 2 m/s?

Lebl, Notes on Diffy Qs, §2.4 Mechanical vibrations, exercise 103

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.