Question

Вагон массой 20тонн, движущийся со скоростью 0,45м/с, ударяется в неподвижный вагон массой 25т.С какой скоростью они продолжили движение после сцепки?

Answer 1

Решение задачи на картинке

Answer 2

Calculation of the Final Velocity after Collision

To determine the final velocity of the two wagons after the collision, 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 calculated by multiplying its mass by its velocity. Therefore, we can write the equation:

(mass of wagon 1 * velocity of wagon 1) + (mass of wagon 2 * velocity of wagon 2) = (mass of wagon 1 * final velocity) + (mass of wagon 2 * final velocity)

Given the following information: - Mass of wagon 1 (moving wagon) = 20 tons = 20,000 kg - Velocity of wagon 1 (moving wagon) = 0.45 m/s - Mass of wagon 2 (stationary wagon) = 25 tons = 25,000 kg

Let's calculate the final velocity of the wagons after the collision.

Using the conservation of momentum equation, we can rewrite it as:

(20,000 kg * 0.45 m/s) + (25,000 kg * 0) = (20,000 kg + 25,000 kg) * final velocity

Simplifying the equation:

(9,000,000 kg·m/s) = (45,000 kg) * final velocity

Dividing both sides of the equation by 45,000 kg:

final velocity = (9,000,000 kg·m/s) / (45,000 kg) final velocity = 200 m/s

Therefore, the wagons continue moving with a final velocity of 200 m/s after the collision.