Question

Тележка массой 40 кг движется со скоростью 4 м/с навстречу тележке, находящейся в неподвижном состоянии, массой 60 кг. После неупругого столкновения тележки движутся вместе. Какова скорость тележек после взаимодействия? СРОЧНО!!!!!!!

Answer 1

Ответ:

m1v1−m2v2=v(m1+m2)

v = \frac{m1v1 - m2v2}{m1 + m2}v=

m1+m2

m1v1−m2v2

v = \frac{40 \times 4 - 60 \times 2}{40 + 60} = 0.4v=

40+60

40×4−60×2

=0.4 м\с

после неупругого соударения тележки будут двигаться в сторону первой тележки

Answer 2

Calculation of the final velocity after the collision

To calculate the final velocity of the two 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.

The momentum of an object is calculated by multiplying its mass by its velocity. Therefore, we can write the equation:

Initial momentum before the collision = Final momentum after the collision

The initial momentum before the collision is the sum of the individual momenta of the two carts. The final momentum after the collision is the momentum of the combined system.

Let's denote the mass of the first cart (moving cart) as m1 and its initial velocity as v1. Similarly, let's denote the mass of the second cart (stationary cart) as m2 and its initial velocity as v2. After the collision, the two carts move together with a final velocity, which we'll denote as vf.

Using the principle of conservation of momentum, we can write the equation:

m1 * v1 + m2 * v2 = (m1 + m2) * vf

Given the following values: - Mass of the moving cart (m1) = 40 kg - Velocity of the moving cart (v1) = 4 m/s - Mass of the stationary cart (m2) = 60 kg

We can substitute these values into the equation and solve for the final velocity (vf).

40 kg * 4 m/s + 60 kg * 0 m/s = (40 kg + 60 kg) * vf

Simplifying the equation:

160 kg m/s = 100 kg * vf

Dividing both sides of the equation by 100 kg:

vf = 160 kg m/s / 100 kg

Calculating the final velocity:

vf = 1.6 m/s

Therefore, the final velocity of the two carts after the collision is 1.6 m/s.

Please note that the above calculation assumes an idealized scenario of a perfectly inelastic collision, where the two carts stick together after the collision. In reality, there might be some energy loss due to friction and other factors.