Answer :
Final answer:
The outer rail should be raised by approximately 0.591 meters.
Explanation:
To find how much the outer rail should be raised with respect to the inner rail, we can use the concept of banking of curves. The formula for the difference in height, h, between the outer and inner rails is given by:
h = (v^2)/(g * R)
where v is the speed of the train, g is the acceleration due to gravity, and R is the radius of the curve.
Substituting the given values, we get:
h = (48 km/h)^2 / (9.8 m/s^2 * 400 m) = 0.591 m
Therefore, the outer rail should be raised by approximately 0.591 meters.
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