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PRACTICE / Conservative forces

A conservative force closes its work ledger

A conservative force does +24 J from A to B and −9 J from B to C.

What work does that same force do from C to A along any return route?

Organize the givens & assumptions
  • WAB = +24 J
  • WBC = −9 J
  • Force is conservative

Same time-independent conservative force on every leg, within a region where a single-valued potential energy exists; other forces are irrelevant to the requested work.

  1. A−33 J-33\ \mathrm J
  2. B0 J0\ \mathrm J
  3. C−15 J-15\ \mathrm J
  4. D15 J15\ \mathrm J

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