A car weighing 1000 kg drives on a convex bridge with a radius of curvature of 40 m. What speed should the car have at the top of the bridge in order for the passengers to feel the state of weightlessness at this point?
Initial data: m (vehicle weight) = 1000 kg; R (radius of curvature of the convex bridge) = 40 m.
Constants: g (acceleration due to gravity) = 10 m / s ^ 2.
1) Since the basis for weightlessness is P = 0, then the car must move with the acceleration of gravity: a = g.
2) Determine the speed that the car should have: a = V ^ 2 / R and V = √ (a * R) = √ (g * R).
V = √ (10 * 40) = √400 = 20 m / s.
Answer: For passengers to feel the state of weightlessness, the car must move at a speed of 20 m / s.
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