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Mechanical Engineering QUESTION #2528
Question 1
For a conservative force field, which condition must hold?
  • Force depends only on time
  • The work done by the force is path-independent and \(\mathbf{F}=-\nabla V\) where \(V\) is potential energy✔️
  • The force is always perpendicular to velocity
  • The force is always constant in magnitude
Correct Answer Explanation
A force is conservative if the work done is path-independent. This is expressed as \(\mathbf{F}=-\nabla V\), and energy conservation \(T+V=\text{const}\) holds when all forces are conservative.