
Пластилиновый шарик массой 2m, движущийся со скоростью v, сталкивается с неподвижным шариком массой
3m. Каким суммарным импульсом они будут обладать после столкновения?

Ответы на вопрос




Calculation of the Total Momentum after Collision
To calculate the total momentum after the collision between the clay ball with a mass of 2m and a velocity of v and the stationary ball with a mass of 3m, 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 formula for momentum is given by:
Momentum (p) = mass (m) × velocity (v)
Before the collision, the clay ball has a momentum of 2m × v and the stationary ball has a momentum of 0 since it is not moving.
After the collision, the two balls will move together with a common velocity, denoted as V. The total momentum after the collision is given by:
Total momentum after collision = (2m + 3m) × V
According to the principle of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Therefore, we can equate the two expressions:
2m × v = (2m + 3m) × V
Simplifying the equation, we have:
2m × v = 5m × V
Dividing both sides of the equation by 5m, we get:
v = V
Therefore, the common velocity after the collision is equal to the initial velocity of the clay ball, v.
To summarize, the clay ball and the stationary ball will have a total momentum after the collision equal to (2m + 3m) × v. The common velocity after the collision is equal to the initial velocity of the clay ball, v.
Please note that the above explanation is based on the principle of conservation of momentum and the given information.


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