Given that a force F is non-conservative, which of the following statements are true and which are false? The system conserves total mechanical energy. The force cannot be derived from a potential energy function. The work integral around a closed path is always zero. The curl of F is non-zero at a minimum of one point in space.  The work integral is path independent.

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Given that a force F is non-conservative, which of the following statements are true and which are false?

  1. The system conserves total mechanical energy.
  2. The force cannot be derived from a potential energy function.
  3. The work integral around a closed path is always zero.
  4. The curl of F is non-zero at a minimum of one point in space. 
  5. The work integral is path independent. 
Expert Solution
Step 1

When the force is non-conservative, the mechanical energy of the system is not conserved, Thus, the statement (1) is false.

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