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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Work, Power and Energy

NEET 2024 · Physics · Work, Power and Energy

An object moving along horizontal x -direction with kinetic energy...

An object moving along horizontal xx-direction with kinetic energy 10 J is displaced through x=(3i^)mx=(3 \hat{i}) \mathrm{m} by the force F⃗=(−2i^+3j^)N\vec{F}=(-2 \hat{i}+3 \hat{j}) \mathrm{N}. The kinetic energy of the object at the end of the displacement xx is

Options

  1. A10 J
  2. B16 J
  3. C4 J
  4. D6 J

Correct answer

C. 4 J

Step-by-step solution

Work energy theorem, Wal=ΔK.E(Wal=W_{\mathrm{al}}=\Delta \mathrm{K} . \mathrm{E}\left(W_{\mathrm{al}}=\right. work done by all forces )) ⇒Kf−Kl=F⃗⋅Δx‾\Rightarrow K_f-K_l=\vec{F} \cdot \Delta \overline{\mathrm{x}} ⇒Kf−10=(−2i^+3j^)⋅(3i^)\Rightarrow K_f-10=(-2 \hat{i}+3 \hat{j}) \cdot(3 \hat{i}) Kf−10=−6K_f-10=-6 Kf=4 JK_{\mathrm{f}}=4 \mathrm{~J}
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