Question

Шар массой 3 кг летит со скорость 6 м/с и сталкивается с неподвижным шаром массой 4 кг. Какими будут направление и значение скорости первого шара после абсолютно упругого удара, если вторая приобрела скорости 2 м/с? Помогите пожалуйста!!!

Answer 1

Ну тут всё просто

m1=3 ru
m2=4 ru
v1=6м/с
Скорость другого шара не указана тоесть v2=0
Находим:
v12
определяем общую скорость взаимодействия , удар был абсалютно неупругим
m1v1+m2v2=v12(m1+m2)=v12 

Answer 2

Calculation of the final velocity of the first ball after the collision

To determine the final velocity of the first ball 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. Let's denote the mass of the first ball as m1, the mass of the second ball as m2, the initial velocity of the first ball as v1, and the final velocity of the first ball as V.

Before the collision, the momentum of the first ball is given by m1 * v1, and the momentum of the second ball is zero since it is stationary.

After the collision, the momentum of the first ball is m1 * V, and the momentum of the second ball is m2 * 2 (since it acquires a velocity of 2 m/s).

According to the conservation of momentum, we have:

m1 * v1 + 0 = m1 * V + m2 * 2

Simplifying the equation, we get:

m1 * v1 = m1 * V + m2 * 2

To solve for V, we rearrange the equation:

V = (m1 * v1 - m2 * 2) / m1

Now, let's substitute the given values into the equation:

m1 = 3 kg v1 = 6 m/s m2 = 4 kg

V = (3 kg * 6 m/s - 4 kg * 2 m/s) / 3 kg

Calculating the value, we find:

V = 10 m/s

Therefore, the final velocity of the first ball after the collision is 10 m/s.

Direction of the final velocity of the first ball after the collision

To determine the direction of the final velocity of the first ball after the collision, we need to consider the direction of the initial velocity and the direction of the second ball's velocity after the collision.

Given that the second ball acquires a velocity of 2 m/s, we can assume that it moves in the opposite direction to its initial velocity. Therefore, the second ball moves in the negative direction.

Since the first ball collides with the second ball and the second ball moves in the negative direction, the first ball's final velocity will also be in the negative direction.

Hence, the direction of the final velocity of the first ball after the collision is negative.

Therefore, the final velocity of the first ball after the collision is 10 m/s in the negative direction.