Step 1: Understanding the Concept:
Friction is a non-conservative force. Work done by non-conservative forces over a closed path is not zero.
Step 2: Detailed Explanation:
1. Work-energy theorem is valid in all inertial frames.
2. Work-energy theorem can be derived from Newton's second law.
3. Work is a scalar quantity.
4. Friction dissipates energy, so work done over a closed path is negative, not zero.
5. Friction opposes motion, so work done is negative.
Step 3: Final Answer:
The false statement is that work done by friction over a closed path is zero.