A train has to negotiate a curve of radius 2000 m. By how much should the outer rail be raised with respect to inner rail for a speed of `72"km h^(-1)`. The distance between the rails is 1 m.

Explanation

To solve the problem of how much the outer rail should be raised with respect to the inner rail for a train negotiating a curve, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
Given speed = 72 km/h.

To convert km/h to m/s, we use the conversion factor \( \frac{5}{18} \):
\[
\text{Speed in m/s} = 72 \times \frac{5}{18} = 20 \text{ m/s}
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