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  • Conservation of Momentum in Isolated Systems: A Comprehensive Explanation
    The change of momentum in an isolated system is zero because of the fundamental principle of conservation of momentum. Here's a breakdown:

    What is an isolated system?

    An isolated system is a system that doesn't exchange any matter or energy with its surroundings. This means there are no external forces acting on the system.

    What is momentum?

    Momentum is a measure of an object's mass in motion. It's calculated by multiplying an object's mass (m) by its velocity (v):

    * Momentum (p) = mass (m) x velocity (v)

    Conservation of Momentum:

    The law of conservation of momentum states that the total momentum of an isolated system remains constant. This means:

    * The total momentum before an interaction is equal to the total momentum after the interaction.

    Why change of momentum is zero:

    In an isolated system, since there are no external forces, the total momentum of the system remains constant. If the momentum doesn't change, then the change in momentum is zero.

    Example:

    Consider two objects of equal mass colliding in an isolated system (like space, far away from any gravitational influence). Before the collision, each object has a certain momentum. During the collision, the objects exchange momentum, but the total momentum of the system remains the same.

    Key takeaway:

    The change in momentum within an isolated system is zero because the total momentum is conserved. This is a consequence of the fundamental law of conservation of momentum, which holds true due to the absence of external forces.

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