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.