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Work Energy and Power question

2023 · Q139
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Work Energy and Power question

2023 · Q139

NEETPhysicsWork Energy and PowerMCQ+4 / −1

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

  1. A
    200 W200 \mathrm{~W}200 W
  2. B
    Zero
  3. C
    100 W100 \mathrm{~W}100 W
  4. D
    140 W140 \mathrm{~W}140 W
View written solutionFree

Correct answer: D

$$\begin{aligned} & P=\vec{F} \cdot \vec{V} \\ & P=(10 \hat{i}+10 \hat{j}+20 \hat{k}) \cdot(5 \hat{i}-3 \hat{j}+6 \hat{k}) \\ & P=50-30+120 \\ & P=140 \mathrm{~W} \end{aligned}$$

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