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 find the maximum compression of the spring when a car collides with it, we can use the principle of conservation of energy. The kinetic energy of the car will be converted into the potential energy stored in the spring at maximum compression.

### Step-by-Step Solution:

1. **Convert the speed from km/h to m/s**:
\[ v = 18 \, \text{km/h} = \frac{18 \times 1000}{3600} \, \text{m/s} = 5 \, \text{m/s} \]
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