Question

Тело массой m движется со скоростью 2v после взаимодействия со стенкой тело стало двигаться в противоположном направлении с той же по модулю скоростью. чему равен модуль изменения импульса

Answer 1

Calculating Change in Momentum

To calculate the change in momentum of the body, we can use the formula for momentum, which is given by the product of mass and velocity. The change in momentum can be calculated as the difference between the final momentum and the initial momentum.

Given: - Initial mass of the body, m - Initial velocity of the body, 2v - Final velocity of the body after interacting with the wall, -2v (opposite direction with the same magnitude)

Solution:

The initial momentum (p_initial) of the body is given by: p_initial = m * 2v

The final momentum (p_final) of the body is given by: p_final = m * (-2v)

The change in momentum (Δp) can be calculated as: Δp = p_final - p_initial

Substituting the values, we get: Δp = m * (-2v) - m * 2v

Simplifying, we get: Δp = -4mv - 2mv Δp = -6mv

Therefore, the magnitude of the change in momentum is 6mv.

This calculation is based on the principles of momentum and the given scenario.