A car weighing 2000 kg passes at a speed of 36 km / h the middle of a convex bridge with a radius

A car weighing 2000 kg passes at a speed of 36 km / h the middle of a convex bridge with a radius of 40 m. Determine the weight of the car in the middle of the bridge.

Initial data: m (vehicle weight) = 2000 kg; V (vehicle speed) = 36 km / h; R (value of the radius of the convex bridge) = 40 m.

Constants: g (acceleration due to gravity) = 10 m / s ^ 2.

SI system: V = 36 km / h = 10 m / s.

The weight of a car in the middle of the bridge can be calculated using the formula:

P = N = m * g – m * an = m * (g – V ^ 2 / R).

Let’s do the calculation:

P = 2000 * (10 – 10 ^ 2/40) = 2000 * 7.5 = 15,000 N or 15 kN.

Answer: The weight of the car in the middle of the bridge is 15 kN.