Newton's third law and laws of collision - Recording and evaluating with two ultrasonic motion sensors and CASSY

In the experiment P1.3.4.5 the way of the two trolleys are measured during an elastic or inelastic collision. This is done with two ultrasonic sensors. v(t) and a(t)-diagrams are determined by the Sensor-CASSY. The forces F₁(t) and F₂(t) can be calculated from the accelerations a₁(t) and a₂(t) and the masses m₁ and m₂ of the trolleys. It is confirmed that F₁(t) = -F₂(t) applies during the collision. It follows the conservation of momentum during the whole collision process:

In addition, the center of mass motion s₃(t) is observed and it can be showed that the speed v₃(t) of the center of gravity during the whole collision process is constant. This shows alternative the conservation of momentum during the whole collision process: