Question

Вагон массой 20 т,движущийся со скоростью 0,3 м.с,нагоняет вагон массой 30 т ,движущийся со скоростью 0,2 м.с Какова скорость вагонов после того как сработает сцепка

Answer 1

0.59 скорость вагонов после того как сработает сцепка

Answer 2

Calculation of Final Velocity using Conservation of Momentum

To calculate the final velocity of the coupled wagons, 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 for conservation of momentum as:

(mass of wagon 1) × (velocity of wagon 1) + (mass of wagon 2) × (velocity of wagon 2) = (total mass) × (final velocity)

Let's substitute the given values into the equation:

(20 t) × (0.3 m/s) + (30 t) × (0.2 m/s) = (total mass) × (final velocity)

Simplifying the equation, we have:

(6 t) + (6 t) = (total mass) × (final velocity)

12 t = (total mass) × (final velocity)

Now, let's calculate the final velocity:

(final velocity) = (12 t) / (total mass)

Substituting the values of the masses:

(final velocity) = (12 t) / (20 t + 30 t)

(final velocity) = (12 t) / (50 t)

(final velocity) = 0.24 m/s

Therefore, the final velocity of the coupled wagons after the coupling is 0.24 m/s.