The center of mass of a two particle system is a point that represents the average position of the particles in the system. It is the point where the total mass of the system can be assumed to be concentrated.
The center of mass of a two particle system is calculated by taking the weighted average of the position vectors of the two particles, where the weights are equal to the masses of the particles.
The concept of center of mass is important in physics because it helps in understanding the motion and stability of a system. It also simplifies the calculations of complex systems by reducing the number of variables to be considered.
Yes, the center of mass of a two particle system always lies between the two particles, or at the same position as one of the particles if they have equal masses. This is because the position of the center of mass is determined by the masses and positions of the particles.
No, the center of mass of a two particle system can only be located within the system. This is because the center of mass represents the average position of the particles in the system, and if it is located outside the system, it would imply that there is a particle with negative mass present.