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This article explores key concepts related to the center of mass in a physical system. We examine whether the center of mass is independent of the mass of individual objects and whether its velocity depends solely on the object's velocities. Additionally, we discuss the movement of the center of mass in relation to system motion, the implications of external forces, and the conservation of momentum. These principles are fundamental for understanding motion and stability in physical systems, making them essential for students and enthusiasts alike.
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The center of mass of a system is independent of the mass of each object in the system. • True • False
The velocity of the center of mass of a system depends only upon the individual velocities of each object in the system. • True • False
If the objects in a system are moving, the center of mass of the system must also be moving. • True • False
If the sum of external forces on a system is zero, the location of the system’s center of mass is fixed. • True • False
The total momentum of a system is simply the sum of momentums for each object in the system. • True • False
If the total momentum of a system is conserved, the location of the system’s center of mass is fixed. • True • False