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.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Convert the speed from km/h to m/s
The speed given is \(36 \text{ km/h}\). We can convert this to meters per second using the conversion factor \(1 \text{ km/h} = \frac{1}{3.6} \text{ m/s}\).

\[ V = 36 \text{ km/h} = \frac{36}{3.6} \text{ m/s} = 10 \text{ m/s} \]
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