Question

Автомобиль массой 2 т двигается по вогнутому мосту,имеющему радиус кривизны 250 м, со скоростью 54 км/ч.С какой силой автомобиль давит на середину моста ?

Answer 1

N=mv^2/R+mg=2000*225/250+2000*10= 21800H

Answer 2

Calculation of the Force on the Middle of the Bridge

To calculate the force exerted by the car on the middle of the bridge, we need to consider the centripetal force acting on the car as it moves along the curved path of the bridge. The centripetal force is responsible for keeping the car moving in a circular path and is directed towards the center of the circle.

The formula for centripetal force is:

F = (m * v^2) / r

Where: - F is the centripetal force - m is the mass of the car (2 tons, which is equivalent to 2000 kg) - v is the velocity of the car (54 km/h, which is equivalent to 15 m/s) - r is the radius of curvature of the bridge (250 m)

Substituting the given values into the formula, we can calculate the force:

F = (2000 kg * (15 m/s)^2) / 250 m

Calculating this expression gives us the force exerted by the car on the middle of the bridge.

Let's calculate it step by step:

1. Convert the mass of the car from tons to kilograms: - 2 tons = 2000 kg

2. Substitute the values into the formula: - F = (2000 kg * (15 m/s)^2) / 250 m

3. Calculate the expression: - F = (2000 kg * 225 m^2/s^2) / 250 m

4. Simplify the expression: - F = 1800 N

Therefore, the car exerts a force of 1800 Newtons on the middle of the bridge.

Answer

The car exerts a force of 1800 Newtons on the middle of the bridge.