Question

Тело массой 0,2 кг, движущееся горизонтально со скорость 0,4 м/c, догоняет тело массой 0.3 кг, движущееся со скоростью 0.3 м/с. Найти скорость тел после неупругого столкновения

Answer 1

Ответ:

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Answer 2

Calculation of the final velocity after an inelastic collision

To find the final velocity of the bodies after an inelastic 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.

In this case, we have two bodies with masses and velocities as follows:

- Body 1: Mass = 0.2 kg, Velocity = 0.4 m/s - Body 2: Mass = 0.3 kg, Velocity = 0.3 m/s

Let's denote the final velocity of the bodies after the collision as Vf1 and Vf2, respectively.

According to the conservation of momentum, we can write the equation:

(m1 * v1) + (m2 * v2) = (m1 * Vf1) + (m2 * Vf2)

Substituting the given values:

(0.2 kg * 0.4 m/s) + (0.3 kg * 0.3 m/s) = (0.2 kg * Vf1) + (0.3 kg * Vf2)

Simplifying the equation:

0.08 kg·m/s + 0.09 kg·m/s = 0.2 kg·Vf1 + 0.3 kg·Vf2

0.17 kg·m/s = 0.2 kg·Vf1 + 0.3 kg·Vf2

To solve for Vf1 and Vf2, we need one more equation. In an inelastic collision, the bodies stick together after the collision, so their final velocities are the same. Therefore, we can write:

Vf1 = Vf2

Substituting this into the previous equation:

0.17 kg·m/s = 0.2 kg·Vf1 + 0.3 kg·Vf1

0.17 kg·m/s = 0.5 kg·Vf1

Solving for Vf1:

Vf1 = 0.17 kg·m/s / 0.5 kg

Vf1 = 0.34 m/s

Therefore, the final velocity of the bodies after the inelastic collision is 0.34 m/s.