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An engine is attahed to a wagon through a shock absorber of length 1.5m. The system with a total mass of 50,000kg is moving with a speed of `36kmh^(-1)` when the brakes are applied to bring it to rest. In the process of the system being brought to rest, the spring of the shock absorber gets compressed by `1.0m`. If `90%` of energy of the wagon is lost due to friction, calculate the spring constant.

A

`5.0 xx10^(5) N//m`

B

`4.0 xx10^(5) N//m`

C

`1.0 xx10^(5) N//m`

D

`2.0 xx10^(5) N//m`

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The correct Answer is:
A
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