Final answer:
The question is related to Physics, specifically focusing on the topic of collisions and the principles of momentum and energy conservation in the context of colliding masses on a frictionless surface.
Step-by-step explanation:
The subject of the question is Physics, specifically centered around the topic of collisions and momentum in a mechanical context. The scenario describes two blocks with different masses approaching each other on a frictionless surface, colliding, and sticking together. The forces that the blocks exert on each other during the collision are of interest. To determine this force, one would typically compare the pre-collision and post-collision velocities and apply the principle of conservation of momentum. The force-time graph (which is presumably provided as an option in the complete question) would show how the force varies during the short time of the collision, but it's important to note that the force block 1 exerts on block 2 will be equal in magnitude and opposite in direction to the force block 2 exerts on block 1, as per Newton's third law of motion.
The impact on the system's kinetic energy, the implications of a rough table versus a frictionless surface, the predictability of post-collision velocities, and the conservation of the center-of-mass velocity in a collision are all topics related to the concept of collisions in physics. They typically involve understanding both linear momentum conservation and kinetic energy changes, particularly in perfectly inelastic collisions where the objects stick together. The central concept here is that, while momentum in a closed system is always conserved, kinetic energy is not necessarily conserved in inelastic collisions.