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  • Understanding Negative Work: When Force Opposes Motion
    If the force moving an object points at least partially in the opposite direction of motion, the work done by that force is considered to be negative.

    Here's why:

    * Work is defined as the product of force and displacement in the direction of the force.

    * When the force is in the opposite direction of motion, the displacement is in the opposite direction of the force.

    * This results in a negative dot product between force and displacement, leading to negative work.

    Examples:

    * Friction: Friction always opposes motion, so the work done by friction is always negative.

    * Braking a car: The braking force acts opposite to the car's motion, slowing it down. This is negative work.

    Key takeaway: Negative work doesn't mean the force is "bad" or "undesirable." It simply means the force is taking energy away from the object, slowing it down or changing its direction.

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