Question

Мост образует выпуклую дугу радиусом 400м. Определите вес поезда на середине моста, если скорость его движения 18км/ч, а масса равна 1200т

Answer 1

F=ma;
-(-m*g)=m*a;
m1*g=m2*a;
m1=m2*a/g;a=v^2/R;
m1=1200000*0,125/10=15 тонн

Answer 2

Calculation of the Weight of the Train on the Bridge

To determine the weight of the train on the bridge, we need to consider the centripetal force acting on the train as it moves along the curved path of the bridge. The centripetal force is provided by the normal force exerted by the bridge on the train.

The formula to calculate the centripetal force is:

F = (m * v^2) / r

Where: - F is the centripetal force - m is the mass of the train - v is the velocity of the train - r is the radius of the curve

Given: - Radius of the curve (r) = 400 m - Velocity of the train (v) = 18 km/h = 5 m/s - Mass of the train (m) = 1200 tons = 1,200,000 kg

Let's substitute the values into the formula to calculate the centripetal force:

F = (1,200,000 kg * (5 m/s)^2) / 400 m

Calculating the above expression, we find:

F = 75,000 N

Therefore, the weight of the train on the bridge, which is equal to the centripetal force, is 75,000 Newtons.

Please note that the above calculation assumes that the train is moving at a constant speed and does not take into account other forces such as friction or air resistance.