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  • Understanding Negative Work: Forces Opposing Motion
    If a force is acting at least partially in the opposite direction of an object's motion, the work done by that force is considered negative.

    Here's why:

    * Work is defined as the force applied on an object multiplied by the displacement of the object in the direction of the force.

    * When the force and displacement are in the same direction, the work done is positive. This means the force is increasing the object's kinetic energy (energy of motion).

    * When the force and displacement are in opposite directions, the work done is negative. This means the force is decreasing the object's kinetic energy, slowing it down.

    Examples:

    * Pushing a box uphill: You are doing positive work because the force you apply is in the same direction as the box's motion.

    * Friction: Friction always acts in the opposite direction of motion. It does negative work, converting the object's kinetic energy into heat.

    * Braking a car: The brakes apply a force opposite to the car's motion, doing negative work to slow the car down.

    Important Note: Negative work doesn't mean the work is "bad" or "useless." It simply indicates that the force is opposing the motion.

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