Question
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?
NDA
General Ability
General Science
2026
NDA 2026 (Phase 1)
NDA General Ability Question (2026) — Solution
Options
- A. The force is conservative.
- B. The net work equals the change in kinetic energy.
- C. The force is constant.
- D. The velocity must always increase.
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.
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