Question

Тележка массой 20кг движется со скоростью 1м/с.она нагоняет тележку,движущуюся со скоростью 0,5м/с и сцепляется с ней,после чего тележки движутся со скорость 0,7м/с .какова начальная скорость тележки?

Answer 1

какова начальная скорость тележки?

начальные скорости

v1= 1м/с

v2=0.5 м/с

задача решена

можно найти  массу тележки №2

закон сохранения импульса

m1v1 +m2v2 = (m1+m2) u

20*1 +m2*0.5= (20+m2) 0.7 

20*1 -20*0.7 = m2 0.7 - m2*0.5

6 = m2*0.2

m2 = 30 кг

 

 

 

Answer 2

Calculation of Initial Velocity

To calculate the initial velocity of the cart, 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, the momentum of the first cart before the collision is equal to the momentum of the two carts after the collision.

Let's denote the mass of the first cart as m1, the mass of the second cart as m2, the initial velocity of the first cart as v1, and the initial velocity of the second cart as v2.

The momentum before the collision is given by:

m1 * v1

The momentum after the collision is given by:

(m1 + m2) * v_final

Since the carts are coupled after the collision, they move with the same final velocity, which is 0.7 m/s.

Using the principle of conservation of momentum, we can equate the two expressions:

m1 * v1 = (m1 + m2) * v_final

Substituting the given values:

20 kg * v1 = (20 kg + m2) * 0.7 m/s

Now, we need to solve this equation to find the initial velocity of the first cart, v1.

Unfortunately, the specific value of m2 is not provided in the question. Without knowing the mass of the second cart, we cannot determine the exact initial velocity of the first cart.

Please provide the mass of the second cart, m2, so we can calculate the initial velocity of the first cart accurately.