Auto manufactures study the collision of cars with mounted spring of different spring constant. Consider a car of mass 1500 kg moving with a speed of `36 kmh^(-1)` on a smooth road and colliding with a horizontally mounted spring of spring constant `7.5xx10^(3) Nm^(-1)`. Find the maximum compression of the spring .

Explanation

To solve the problem of finding the maximum compression of the spring when a car collides with it, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
The speed of the car is given as \(36 \, \text{km/h}\). We need to convert this to meters per second (m/s) using the conversion factor \( \frac{5}{18} \).

\[ V = 36 \, \text{km/h} \times \frac{5}{18} = 10 \, \text{m/s} \]
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