At what speed does the car have to go through the middle of a convex bridge with a radius of 40 meters

At what speed does the car have to go through the middle of a convex bridge with a radius of 40 meters in order for the passenger to be momentarily weightless?

To create a condition for finding a passenger in zero gravity, the following equality must be observed: g = ac = Va ^ 2 / Rm, from where we express: Va ^ 2 = g * Rm and Va = √ (g * Rm).

Const: g – gravitational acceleration (acc. G = 10 m / s2).

Data: Rm – radius of the specified convex bridge (Rm = 40 m).

Let’s calculate: Va = √ (g * Rm) = √ (10 * 40) = 20 m / s.

Answer: The car, according to the calculation, must travel in the middle of the indicated convex bridge at a speed of 20 m / s.