Автомобиль массой 2т движется с постоянной скоростью 16 м/с по выпуклому мосту с радиусом кривизны 40м. Определить силу давления автомобиля при въезде на мост, если он представляет собой дугу окружности угла 60°.
To find the pressure force exerted by a car on a convex bridge, we first need to calculate the centripetal acceleration using the formula a = v^2/r, where v is the constant velocity of the car (16 m/s) and r is the radius of curvature (40 m). This gives us a = (16 m/s)^2 / (40m) = 6.4 m/s^2. Now, using Newton's Second Law of motion, F = ma, we can find the pressure force by multiplying the mass of the car (2 tons = 2000 kg) by the acceleration calculated, giving us F = 2000 kg * 6.4 m/s^2 = 12800 N. Therefore, the pressure force exerted by the car while entering the bridge is 12800 N.
