The radius of curvature of the bridge is 100m. The mass of the car is 2000kg, its speed at this point is 5m / s.

The radius of curvature of the bridge is 100m. The mass of the car is 2000kg, its speed at this point is 5m / s. What is the weight of the car at the lowest point of the concave bridge.

Initial data: R (value of the radius of curvature of the bridge) = 100 m; m (vehicle weight) = 2000 kg; V (vehicle speed at the lowest point of the concave bridge) = 5 m / s.

Constants: g = 10 m / s ^ 2.

The weight of the car at the lowest point of the concave bridge can be calculated using the following formula:

P = m * (g + an), where an (normal auto acceleration) = V ^ 2 / R.

P = m * (g + V ^ 2 / R).

Let’s do the calculation:

P = 2000 * (10 + 5 ^ 2/100) = 20500 N = 20.5 kN.

Answer: The weight of the car at the lowest point of the concave bridge is 20.5 kN.