To simulate car accidents auto manufactures study the collisions of moving cars with mounted springs of different spring constants . Consider a typical simulation car of mass 1000 kg moving with a speed `18.0 " km h "^(-1)` on a smooth road and colliding `6.25 xx 10^(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 before the collision 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**:
\[ \text{Speed} = 18.0 \, \text{km/h} = 18.0 \times \frac{1000 \, \text{m}}{3600 \, \text{s}} = 5.0 \, \text{m/s} \]
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