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NDA 2026
Exam
NDA
Year
2026
Subject
General Ability
Chapter
General Science

NDA 2026 · General Ability · General Science

A particle is moved from point X to point Y under a force field....

A particle is moved from point XX to point YY under a force field. The work done depends only on the initial and final speeds. Which one of the following is correct?

Options

  1. AThe force is conservative.
  2. BThe net work equals the change in kinetic energy.
  3. CThe force is constant.
  4. 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.

Wnet=ΔK=12m(vf2−vi2)W_{net} = \Delta K = \dfrac{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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