Question

Тележка массой 2 кг, движущаяся со скоростью 3 м/с, сталкивается с неподвижной тележкой массой 4кг и сцепляется с ней. Какова скорость тележек после сталкивания?

Answer 1

m1=2кг

v1=3м/с

m2=4кг

             m1v1+m2v2=v(m1+m2) (в векторной форме)

             m1v1+0=v(m1+m2)

             m1v1=v(m1+m2)

             m1v1/(m1+m2)=v

             v=1м/с

Answer 2

Calculation of the Final Velocity of the Carts After Collision

To calculate the final velocity of the carts 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.

Let's denote the mass of the first cart as m1 (2 kg) and its initial velocity as V1 (3 m/s). The mass of the second cart is m2 (4 kg), and we need to find the final velocity of both carts, denoted as V.

Using the conservation of momentum equation, we have:

m1 * V1 = (m1 + m2) * V Substituting the given values:

2 kg * 3 m/s = (2 kg + 4 kg) * V

Simplifying the equation:

6 kg m/s = 6 kg * V

Dividing both sides by 6 kg:

V = 1 m/s

Therefore, the final velocity of both carts after the collision is 1 m/s.

Answer:

The carts will have a final velocity of 1 m/s after the collision.