Railroad station (coaches): https://phy-coaches.cst.cmich.edu/type1/01-railaccid

Question

Railroad station (coaches): https://phy-coaches.cst.cmich.edu/type1/01-railaccident/railroadStation.php You have a job at aforensics laboratory investing an accident at a commuter railroad station. Your task is to determine the response of the safety system that prevented a raroad car from crashing in to the station. In the accident, a coupling failed causing a passenger cat to break away from a train and roll in to the station. because the brakes on the passenger car failed. it could not stop. The safety system at the end of the track was a large horizontal pring with a hook that grabbed onto the car when it hit preventing the car from crashing into the station platorm. To determine the cause of passenger injuries. you want to know the frequency of the car's oscillation after it hit the spring based on the mass of the passenger car, m=2000 kg and the spring's constant, k=(6.5*10^6)N/m.

Explanation / Answer

here,

mass of the car , m = 2000 kg

spring constant , k = 6.5 * 10^6 N/m

the frequency of oscillation , f = 1/2pi * sqrt(k/m)

f= 1/2pi * sqrt( 6.5 *10^6 / 2000)

f = 9.08 Hz

the frequency of the oscillation is 9.08 Hz

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