NDA2026General AbilityGeneral ScienceActual
A particle is moved from point X to point Y under a force field. The work done depends only on the initial and final speeds. Which one of the following is correct?
Options
- AThe force is conservative.
- BThe net work equals the change in kinetic energy.
- CThe force is constant.
- DThe velocity must always increase.
Correct answer
B. The net work equals the change in kinetic energy.
Step-by-step solution
According to the work-energy theorem, the net work done on a particle by all forces equals the change in its kinetic energy. W_ net = K = 1 2 m(v_f^2 - v_i^2) Since kinetic energy depends only on the speed of the particle, the net work done depends only on the initial and final speeds. This holds true for any type of force, whether conservative or non-conservative, constant or variable. Answer: The net work equals the change in kinetic energy.