Question

Тележка массой 2 кг движется со скоростью 3 м/с, наезжает на покоящуюся тележку массой 1 кг. и цепляется с ней. Какова скорость тележек после скупки? если можно, то с дано

Answer 1

Дано m1=2 кг    V1=3 м/с   m2=1 кг   V- ?

m1*V1=(m1+m2)*V
V=m1*V1/(m1+m2)=2*3/3=2 м/с

Answer 2

Problem Analysis

We have two carts: one with a mass of 2 kg moving at a velocity of 3 m/s, and another stationary cart with a mass of 1 kg. The moving cart collides with the stationary cart and attaches to it. We need to determine the final velocity of the carts after the collision.

Solution

To solve this problem, 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: momentum = mass * velocity.

Let's denote the mass of the moving cart as m1, the mass of the stationary cart as m2, the initial velocity of the moving cart as v1, and the final velocity of both carts as vf.

Before the collision, the total momentum is given by: Total momentum before = m1 * v1 + m2 * 0 (since the stationary cart is at rest)

After the collision, the total momentum is given by: Total momentum after = (m1 + m2) * vf

According to the conservation of momentum principle, the total momentum before the collision is equal to the total momentum after the collision: m1 * v1 + m2 * 0 = (m1 + m2) * vf

Now we can substitute the given values into the equation and solve for vf.

Given: m1 = 2 kg (mass of the moving cart) v1 = 3 m/s (initial velocity of the moving cart) m2 = 1 kg (mass of the stationary cart)

Substituting the values into the equation: 2 kg * 3 m/s + 1 kg * 0 = (2 kg + 1 kg) * vf

Simplifying the equation: 6 kg m/s = 3 kg * vf

Dividing both sides by 3 kg: vf = 6 kg m/s / 3 kg

Simplifying: vf = 2 m/s

Answer

After the collision, the carts will have a final velocity of 2 m/s.