Question

Каков суммарный импульс системы двух шаров массой m, летящих навстречу друг другу с одинаковой скоростью v, если после упругого удара они останавливаются? помогите:*

Answer 1

Т.к. p=mv, и после удара они останавливаются и скорость равна 0 => Суммарный импульс равен 0. 

Answer 2

Calculating the Total Impulse of Two Balls Colliding

When two balls of mass *m* are moving towards each other with the same velocity *v* and come to a stop after an elastic collision, we can calculate the total impulse of the system.

The total impulse of the system can be calculated using the principle of conservation of momentum, which states that the total momentum of an isolated system remains constant if no external forces act on it.

The formula to calculate the total impulse of the system is:

Total Impulse = Change in Momentum

The change in momentum can be calculated using the formula:

Change in Momentum = Final Momentum - Initial Momentum

In this case, the initial momentum is the sum of the momenta of the two balls before the collision, and the final momentum is the sum of the momenta of the two balls after the collision.

The momentum of an object is given by the product of its mass and velocity, so the momentum *p* is given by:

Momentum (p) = mass (m) * velocity (v)

Therefore, the initial momentum of the system before the collision is:

Initial Momentum = m * v + m * (-v)

And the final momentum of the system after the collision is:

Final Momentum = 0

Substituting these values into the formula for the change in momentum, we get:

Change in Momentum = 0 - (m * v + m * (-v))

Simplifying this expression gives us the total impulse of the system.

Let's calculate the total impulse using the given values of mass *m* and velocity *v*.