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  • Conserved Properties of a Falling Object in a Vacuum: Mass, Momentum, Energy & More
    Here's a breakdown of the conserved properties of a ball falling freely in a vacuum:

    Conserved Properties:

    * Mass: The ball's mass remains constant.

    * Momentum: The ball's momentum, which is the product of its mass and velocity, is conserved in the absence of external forces.

    * Energy: The total mechanical energy of the ball (sum of potential and kinetic energy) remains constant. This is because no work is being done by non-conservative forces like air resistance.

    * Angular Momentum: If the ball is spinning, its angular momentum (a measure of its rotational inertia) remains constant.

    Not Conserved Properties:

    * Velocity: The ball's velocity increases as it falls due to gravity.

    * Kinetic Energy: The ball's kinetic energy increases as its velocity increases.

    * Potential Energy: The ball's potential energy decreases as it falls.

    Why These Properties Are Conserved:

    * Vacuum: The absence of air resistance means no external force is acting on the ball to change its motion.

    * Gravity: Gravity acts as a conservative force, meaning it doesn't dissipate energy. It simply converts potential energy into kinetic energy.

    Important Note: In reality, a falling ball in the atmosphere will experience air resistance, which is a non-conservative force. This will cause the ball's energy to decrease and its velocity to eventually reach a terminal velocity.

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