Question

Электровоз массой 180 т движущийся со скоростью 0,6 м/с подъезжает к неподвижному вагону и продолжает движение вместе с ним. Какова масса вагона, если скорость локомотива уменьшилась до 0,4 м/с

Answer 1

M1 = 180000кг
v1 = 0.6м/с
v2 = 0.4 м/с
m2-?закон сохранения импульсаm1v1 = (m1+m2)v2m1+m2 = m1v1/v2m2 = m1(v1/v2 - 1)
m2 = 180т *(6/4-1) = 90т
ответ m2.= 90т

Answer 2

Calculation of the Mass of the Wagon

To calculate the mass of the wagon, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

The momentum of an object is given by the product of its mass and velocity. Therefore, we can write the equation:

Initial momentum of the locomotive = Final momentum of the locomotive + Final momentum of the wagon

The initial momentum of the locomotive is given by the product of its mass (180 t) and velocity (0.6 m/s). The final momentum of the locomotive is given by the product of its mass (180 t) and final velocity (0.4 m/s).

Let's calculate the mass of the wagon using this equation:

Initial momentum of the locomotive = Final momentum of the locomotive + Final momentum of the wagon

(180 t) * (0.6 m/s) = (180 t) * (0.4 m/s) + mass of the wagon * (0.4 m/s)

Simplifying the equation:

(180 t) * (0.6 m/s) - (180 t) * (0.4 m/s) = mass of the wagon * (0.4 m/s)

(180 t) * (0.2 m/s) = mass of the wagon * (0.4 m/s)

Dividing both sides of the equation by (0.4 m/s):

(180 t) * (0.2 m/s) / (0.4 m/s) = mass of the wagon

Simplifying further:

(180 t) * 0.5 = mass of the wagon

Mass of the wagon = (180 t) * 0.5

Now, let's calculate the mass of the wagon:

Mass of the wagon = (180 t) * 0.5

Mass of the wagon = 90 t

Therefore, the mass of the wagon is 90 tons.