Question

Два пластилиновых шара движутся навстречу друг другу со скоростями, модули которых равны 10 м/с и 20 м/с. Массы шаров равны 0,2 кг и 0,4 кг. Определите модуль скорости шаров после их абсолютно неупругого соударения.

Answer 1

M1v1 - m2v2 = v (m1 + m2)
v = (m1v1 - m2v2) / (m1 + m2)
ответ почему то с минусом но скорость бери по модулю! и скорость = 10

Answer 2

Problem Analysis

We are given two clay balls moving towards each other with velocities of 10 m/s and 20 m/s. The masses of the balls are 0.2 kg and 0.4 kg. We need to determine the final velocity of the balls after an inelastic 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. Therefore, the total momentum before the collision is:

Total momentum before collision = (mass of ball 1 * velocity of ball 1) + (mass of ball 2 * velocity of ball 2)

After the collision, the two balls stick together and move with a common final velocity. Let's assume this final velocity is v.

The total momentum after the collision is:

Total momentum after collision = (mass of ball 1 + mass of ball 2) * final velocity

Since the total momentum before and after the collision must be equal, we can set up the following equation:

(mass of ball 1 * velocity of ball 1) + (mass of ball 2 * velocity of ball 2) = (mass of ball 1 + mass of ball 2) * final velocity

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

Calculation

Given: - Mass of ball 1 (m1) = 0.2 kg - Mass of ball 2 (m2) = 0.4 kg - Velocity of ball 1 (v1) = 10 m/s - Velocity of ball 2 (v2) = 20 m/s

Using the equation derived above, we can calculate the final velocity (v):

(0.2 kg * 10 m/s) + (0.4 kg * 20 m/s) = (0.2 kg + 0.4 kg) * v

Simplifying the equation:

(2 kg m/s) + (8 kg m/s) = (0.6 kg) * v

10 kg m/s = 0.6 kg * v

Dividing both sides of the equation by 0.6 kg:

v = (10 kg m/s) / (0.6 kg) = 16.67 m/s

Therefore, the final velocity of the balls after the inelastic collision is 16.67 m/s.

Answer

The final velocity of the clay balls after the inelastic collision is 16.67 m/s.