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  • Momentum and Free Fall: Why Mass Matters
    No, two objects of different masses will not have the same momentum when they freely fall. Here's why:

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

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

    * Free Fall: In free fall, objects accelerate downwards due to gravity. While the acceleration due to gravity is constant for all objects near the Earth's surface, the *velocity* of the objects will change over time.

    The Issue:

    * Since the objects have different masses, they will have different momentums even if they have the same velocity.

    * As they fall, their velocities will increase. The heavier object will gain more momentum due to its larger mass, even if its velocity is the same as the lighter object's.

    Example:

    Imagine a 1 kg ball and a 10 kg bowling ball falling from the same height.

    * Initially: Both objects start with zero velocity, so their momentum is zero.

    * After falling for a while: Both objects will be moving at the same speed (due to gravity). However, the bowling ball will have significantly more momentum because it has a greater mass.

    Conclusion:

    Two objects of different masses falling freely will have different momentums because momentum is directly proportional to mass.

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