Final answer:
The correct statement that does NOT happen is that both students reach the same final velocity. Different forces on the same mass produce different accelerations, and in an inelastic collision on a frictionless track, the total momentum before and after remains equal.
Step-by-step explanation:
Concerning the scenario with students in office chairs and the experiment with two air cars, the question addresses the principles of physics related to the interaction of forces and the resulting motion, specifically in the context of Newton's laws. The correct statement that does NOT happen to the students in the office chairs is that both students reach the same final velocity. This is not necessarily true since the final velocity of each student depends on various factors, including the magnitudes of the forces involved and the masses of the students and chairs. According to the conservation of momentum, if two objects of equal mass are involved in a collision and one is at rest, the total momentum before and after the collision remains constant, provided that no external forces act on the system.
Looking at the specific information provided, for two objects with equal mass, we can use the law of conservation of momentum to predict the outcome of their interactions. In a system with no external forces, such as a frictionless track, the total momentum before and after a collision remains the same. Different forces on the same mass can produce different accelerations, as per Newton's second law (F = ma). When two carts collide inelastically, they might stick together and move with a combined velocity that conserves the total momentum of the system.