An isolated system is a system in which no external forces act on the objects within the system. In other words, the total external force on the system is zero.
Law of Conservation of Linear Momentum:
The law of conservation of linear momentum states that the total linear momentum of an isolated system remains constant if no external forces are acting on the system.
Mathematically:
Total Initial Momentum=Total Final Momentum
Example:
Consider two ice skaters pushing off each other on a frictionless ice surface. Initially, both skaters are at rest, so the total momentum is zero. When they push off each other, they move in opposite directions, but the total momentum of the system (both skaters) remains zero, as one skater moves in one direction and the other moves in the opposite direction, preserving the total momentum.
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