Question

Импульс системы состоящий из нескольких материальных точек равнв

Answer 1

Векторной сумме импульсов этих точек

Answer 2

Impulse of a System Consisting of Multiple Material Points

The impulse of a system consisting of multiple material points can be calculated by summing the individual impulses of each point in the system. The impulse of a point is equal to the product of its mass and velocity.

The impulse of a point can be defined as:

Impulse = mass × velocity

To calculate the impulse of a system, you would need to calculate the impulse of each individual point and then sum them up.

Mathematical Representation

Let's consider a system consisting of multiple material points. Each point has a mass (m) and a velocity (v). The impulse of each point (I) can be calculated using the formula:

I = m × v

To calculate the impulse of the entire system, you would sum up the impulses of all the points in the system. If the system consists of n points, the total impulse (I_total) can be calculated as:

I_total = I_1 + I_2 + ... + I_n

Where I_1, I_2, ..., I_n are the impulses of the individual points in the system.

Example

Let's consider a system consisting of three material points with masses m_1, m_2, and m_3, and velocities v_1, v_2, and v_3, respectively. The impulse of each point can be calculated as:

I_1 = m_1 × v_1

I_2 = m_2 × v_2

I_3 = m_3 × v_3

The total impulse of the system can be calculated by summing up the individual impulses:

I_total = I_1 + I_2 + I_3

Conclusion

In summary, the impulse of a system consisting of multiple material points can be calculated by summing up the individual impulses of each point. The impulse of a point is equal to the product of its mass and velocity.