Question

Вагон массой 60т, двигавшийся со скоростью 3м/с, столкнулся с неподвижно стоящим вагоном массой 40т . Найдите скорость вагонов после столкновения Пожалуйста срочно надо решение и ответ

Answer 1

V = v₂ - v₁

v₁ = 3 м/c 

p = m * v₂ ---------------> v₂ = $\frac{p}{m}$

p -  импульс 
m - масса ( 40 т = 40000 кг )

p = m₁ * v₁ = 60000 * 3 = 180000 кг * м/c 

v₂ = $\frac{180000}{40000}$ = 4,5 м/c 

v = v₂ - v₁ = 4,5 - 3 = 1,5 м/c 

Answer 2

Calculation of the Final Velocity of the Wagons After Collision

To find the final velocity of the 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:

Initial momentum before collision = Final momentum after collision

The initial momentum before the collision is the sum of the momenta of the two wagons. The final momentum after the collision is the sum of the momenta of the two wagons after the collision.

Let's denote the mass of the first wagon (moving wagon) as m1 = 60 tons = 60,000 kg and its initial velocity as v1 = 3 m/s. The mass of the second wagon (stationary wagon) is m2 = 40 tons = 40,000 kg. We need to find the final velocity of both wagons after the collision.

Using the principle of conservation of momentum, we can set up the equation:

m1 * v1 + m2 * 0 = (m1 + m2) * vf

Simplifying the equation, we get:

m1 * v1 = (m1 + m2) * vf

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

60,000 kg * 3 m/s = (60,000 kg + 40,000 kg) * vf

Simplifying further:

180,000 kg*m/s = 100,000 kg * vf

Dividing both sides of the equation by 100,000 kg:

vf = 180,000 kg*m/s / 100,000 kg

Calculating the result:

vf = 1.8 m/s

Therefore, the final velocity of both wagons after the collision is 1.8 m/s.

Please note that the above calculation assumes an idealized scenario where there are no external forces acting on the wagons during the collision. In reality, factors such as friction and deformation of the wagons may affect the final velocity.