Coming in hot, coming out cold?

Classical Mechanics Level 2

Grain is loaded onto a train initially coasting at the speed \(v_0 \text{ m/s}\) by dropping it vertically from a stationary silo at the rate \(\alpha_m \text{ kg/s}\). How fast is the train moving when it exits from under the silo (in m/s)?


  • The train is \(l = 200\) m long, and has an empty weight of \(m_0 = 500\) kg.
  • \(v_0=45\) m/s
  • \(\alpha_m = 20\) kg/s

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