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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Work, Power and Energy

NEET 2023 · Physics · Work, Power and Energy

A particle moves with a velocity (5 i -3 j +6 k ) ms^ -1...

A particle moves with a velocity (5i^−3j^+6k^)ms−1(5 \hat{i}-3 \hat{j}+6 \hat{k}) \mathrm{ms}^{-1} horizontally under the action of constant force (10i^+10j^+20k^)N(10 \hat{i}+10 \hat{j}+20 \hat{k}) \mathrm{N}. The instantaneous power supplied to the particle is:

Options

  1. A100 W100 \mathrm{~W}
  2. B140 W140 \mathrm{~W}
  3. C200 W200 \mathrm{~W}
  4. DZero

Correct answer

B. 140 W140 \mathrm{~W}

Step-by-step solution

Instantaneous power is given by P=F⃗⋅V⃗P=\vec{F} \cdot \vec{V}P=[10i^+10j^+20k^]⋅[5i^−3j^+6k^]W=[50−30+120]W=140 W\begin{aligned} P & =[10 \hat{i}+10 \hat{j}+20 \hat{k}] \cdot[5 \hat{i}-3 \hat{j}+6 \hat{k}] \mathrm{W} \\ & =[50-30+120] \mathrm{W}=140 \mathrm{~W}\end{aligned}$$
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