Work done by conservative force is equal to
- A.Decrease in potential energy
- B.Increase in kinetic energy
- C.Increase in potential energy
- D.Decrease in kinetic energy
Show answer
Correct answer: A. Decrease in potential energy
Explanation
The correct answer is A, Decrease in potential energy. A conservative force is one whose work depends only on the starting and the finishing point, not on the path taken, and whose work around any closed path is zero. Gravity and the spring force are the common examples. Potential energy is defined for such a force by the relation that the work it does equals the loss in potential energy. When a stone falls, gravity does positive work and the stone’s potential energy falls by exactly that amount. Option C is wrong because it states the opposite; potential energy rises only when work is done against the force, as in lifting the stone. Option B is right only when the conservative force is the sole force acting, so it is not the defining statement, and friction or an applied force would break it. Option D is wrong because kinetic energy grows, not falls, when such work is positive. Exam tip: conservative force, work equals minus the change in potential energy, and zero on a closed loop.