31. COLLISION OF FREE PARTICLES MOVING BY INERTIA

31. COLLISION OF FREE PARTICLES MOVING BY INERTIA

Now let's consider the case of collision of free particles, both of which were up to the moment of contact during the process of inertial motion.

What happens with each of the particles after they have collided? A very important role will play in the way how the vectors of Forces of Pressure of these two particles will be located in relation to each other. The vectors of the Pressure Forces can be:

1) in opposite directions;

2) directed at an angle to each other.

In order to determine how the resultant force vector will be directed, we are not going to invent anything new, and turn to the Rule of Parallelogram.

What happens to the particles in the moment of their collision?

At the moment of collision each particle feels the effect of two forces:

1) own Inertial Force;

2) the Pressure Force caused by the second of the colliding particles.

If you remember, we assigned to the Rule of Parallelogram another name - the Rule of Subordination to Dominant Force in view of action of the less Force. I.e. in accordance with this Rule any particle always increasingly subordinates to the greatest largest Force. However, the action of the less Force also taken into account, and accounted for in accordance with the features of the addition and subtraction of vectors. If the force vectors lie on a same line and, of course, in opposite directions, from the larger vector we subtract smaller. The obtained difference is the resultant force. If the vectors are arranged at an angle to each other, then the diagonal of the parallelogram formed by the vectors as on the sides, just indicate the direction and magnitude of the resultant force. This means that for each of two particles we build its own parallelogram and calculate its own resultant force. And after the collision each of the colliding particles go in a new direction and with a new speed (Force indicates speed), which correspond to the magnitude and the direction of the resultant force. It does not matter different or same the particle velocity, i.e. it is regardless of the value of their Inertial Force.

In all cases when vectors are directed at an angle greater than 180˚, the direction of motion of two particles changes after collision. If vectors lie on the same line, then after collision the particle with the larger Inertial Force (and thus with the lager Pressure Force) will retain the former direction. Although it decreases the speed as of the vector of its force will be deducted the force vector of the second particle. But the particle with a smaller Inertial Force (and Pressure Force) changes the direction of its motion is reversed.

As you can see the colliding particles do not pass through each other. Mechanism of their impact is very similar to collision of two thrown balls. This is not surprising, since any spherical body (ball) is constructed of the same material - of elementary particles. Particles-balls collide and bounce at an angle (if they collide at an angle).