Coming in hot, coming out cold?

Classical Mechanics Level 2

Grain is loaded onto a train initially coasting at the speed v0 m/sv_0 \text{ m/s} by dropping it vertically from a stationary silo at the rate αm kg/s\alpha_m \text{ kg/s}. How fast is the train moving when it exits from under the silo (in m/s)?

Details

  • The train is l=200l = 200 m long, and has an empty weight of m0=500m_0 = 500 kg.
  • v0=45v_0=45 m/s
  • αm=20\alpha_m = 20 kg/s
Josh Silverman by Josh Silverman
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