A force F =-k( y +x j ) (where k is a positive constant) acts on a particle moving in the…

Physics · JEE Main · NTA ExamsWork, Energy and Power

A force \(\vec{F}=-k(\hat{y}+x \hat{j})\)  (where k is a positive constant) acts on a particle moving in the X-Y plane. Starting from the origin, the particle is taken along the positive X-axis to the point (a, 0) and then parallel to the Y-axis to the point (a, a). The total work done by the force F on the particle is
  1. \(\text { — }\)2ka2
  2. 2ka2
  3. \(\text { — }\)ka2
  4. ka2

Answer

(C) — ka 2

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