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5.work,energy,power and collision — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics5.work,energy,power and collision1 Mark
MCQ
A force of magnitude of $30\, N$ acting along $\hat i + \hat j + \hat k$ , displaces a particle from point $(2, 4, 1)$ to $(3, 5, 2)$ . The work done during this displacement is
  • A
    $90\,J$
  • B
    $30\,J$
  • ✓
    $30\sqrt 3\,J$
  • D
    $30/\sqrt 3\,J$
✓

Answer

Correct option: C.
$30\sqrt 3\,J$
c
$W=\vec{F} \cdot \vec{S}$ where $\vec{F}=\frac{30(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}}$

and $\vec{S}=\hat{i}+\hat{j}+\hat{k}$

$30 \sqrt 3$

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