A car weighing 3 tons passes the middle of a convex bridge with a radius of 75 m

A car weighing 3 tons passes the middle of a convex bridge with a radius of 75 m at a speed of 25 m / s. The strength of the car in the middle of the bridge.

Initial data: m (vehicle weight) = 3 tons (3 * 10 ^ 3 kg); R (radius of the convex bridge) = 75 m; V (the speed that the car will have in the middle of the bridge) = 25 m / s.

Constants: by condition g (gravitational acceleration) ≈ 10 m / s2.

The pressure force of the vehicle in question in the middle of the bridge is determined by the formula: P = m * (g – an) = m * (g – V ^ 2 / R).

Calculation: P = 3 * 10 ^ 3 * (10 – 25 ^ 2/75) = 5000 N (5 kN).

Answer: A. The pressure force of the vehicle in question in the middle of the bridge is 5 kN.



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