Question

Автомобиль массой 5т равномерно со скорость 54 км/ч въезжает на вогнутый мост, по форме представляющий собой дугу окружности радиусом 100 м. Определите, с какой силой автомобиль давит на мост в точке, радиус которой составляет с вертикалью угол 60' . Ускорение свободного падения примите равным 10 м/с2. Ответ запишите в Ньютонах в виде целого числа. ПОМОГИТЕ 50 БАЛЛОВ​

Answer 1

Объяснение: на фото…

Answer 2

Problem Analysis

We are given the following information: - The mass of the car is 5 tons (or 5000 kg). - The car is entering a concave bridge in the shape of a circular arc with a radius of 100 m. - The car is moving at a constant speed of 54 km/h. - We need to determine the force exerted by the car on the bridge at a point where the angle between the radius and the vertical is 60 degrees.

To solve this problem, we can use the principles of circular motion and centripetal force.

Solution

1. Convert the speed of the car from km/h to m/s: - 54 km/h = 54,000 m/3600 s = 15 m/s.

2. Calculate the centripetal acceleration of the car: - The centripetal acceleration is given by the formula: a = v^2 / r, where v is the velocity and r is the radius. - Substituting the values, we have: a = (15 m/s)^2 / 100 m = 2.25 m/s^2.

3. Calculate the centripetal force exerted by the car on the bridge: - The centripetal force is given by the formula: F = m * a, where m is the mass and a is the acceleration. - Substituting the values, we have: F = 5000 kg * 2.25 m/s^2 = 11,250 N.

4. Determine the vertical component of the force: - The angle between the radius and the vertical is 60 degrees. - The vertical component of the force can be calculated using the formula: F_vertical = F * sin(angle). - Substituting the values, we have: F_vertical = 11,250 N * sin(60 degrees) = 11,250 N * 0.866 = 9,731.25 N.

5. Round the result to the nearest whole number: - The force exerted by the car on the bridge at the given point is approximately 9,731 N.

Answer

The force exerted by the car on the bridge at the point where the angle between the radius and the vertical is 60 degrees is approximately 9,731 Newtons.