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If you were to a derail an 8,000,000 kg train that is traveling 10 m/s, how long will it take to bring it to a stop if a 2 kN frictional force is applied?

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Answer:

40,000 s

Explanation:

Find the acceleration of the train given the mass and the force applied.

Convert 2 kN to N --> 2000 N.

Substitute the train's mass and applied force into Newton's 2nd Law:

  • F = ma
  • 2000 = 8,000,000 * a
  • a = 0.00025 m/s²  

SInce the train is slowing down, the acceleration should be negative.

Using the acceleration, initial velocity, final velocity, we can solve for time using this kinematic equation:

  • v = v₀ + at
  • 0 = 10 + (-.00025)t
  • -10 = -.00025t
  • t = 40000 s

It will take 40,000 seconds to bring the train to a stop if a 2 kN frictional force is applied.

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