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?

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:

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:

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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