To stimulat car accidents, the auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass 1000kg moving with a speed of `18.0 km//h` on a smooth road and colliding with a horizontally mounted spring of spring constant `6.25xx10^(3)Nm^(-1)`. What is the maximum compression of the spring?

Explanation

To solve the problem of determining 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 \(18.0 \, \text{km/h}\). We need to convert this to meters per second (m/s) using the conversion factor \(1 \, \text{km/h} = \frac{1}{3.6} \, \text{m/s}\).

\[ v = 18.0 \, \text{km/h} \times \frac{1 \, \text{m/s}}{3.6 \, \text{km/h}} = 5.0 \, \text{m/s} \]
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