A3.12×10^5 kg subway train is brought to a stop from a speed of 2.65 miles per hour in 0.453 m by a large spring bumper at the end of its track. what is the force constant k of the spring?

Force constant,

Explanation:

It is given that,

Mass of the subway train,

Speed of the train, v = 2.65 mph = 1.184 m/s

Distance, x = 0.453 m

The energy stored in the spring is balanced by the kinetic energy of the train such that,

k is the spring constant of the spring

k = 2131383.47 N/m

So, the force constant of the spring is . Hence, this is the required solution.

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