At what speed should the car pass through the middle of the opuque bridge with a radius of 40 m

At what speed should the car pass through the middle of the opuque bridge with a radius of 40 m for the passenger to feel weightlessness for a moment?

g = 9.8 m / s ^ 2.
R = 40 m.
V -?
Weightlessness is a state in which the body is under the influence of only the force of gravity m * g.
Let’s write 2 Newton’s law for this case: m * a = m * g.
a = g.
Centripetal acceleration a is determined by the formula: a = V ^ 2 / R, where V is the speed of movement, R is the radius of the bridge.
V ^ 2 / R = g.
V = √ (R * g).
V = √ (40 m * 9.8 m / s ^ 2) = 19.8 m / s.
Answer: the speed of the car should be V = 19.8 m / s.



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