AP EAMCET · PHYSICS · Work Power Energy
If a force \((3 \hat{i}+2 \hat{j}+5 \hat{k}) \mathrm{N}\) acting on a body displaces it through \((2 \hat{i}+2 \hat{j}+1 \hat{k}) \mathrm{m}\), then the work done by the force on the body is
- A 40 J
- B 20 J
- C 15 J
- D 25 J
Answer & Solution
Correct Answer
(C) 15 J
Step-by-step Solution
Detailed explanation
\(W = \vec{F} \cdot \vec{d}\) \(W = (3 \hat{i}+2 \hat{j}+5 \hat{k}) \cdot (2 \hat{i}+2 \hat{j}+1 \hat{k})\) \(W = (3)(2) + (2)(2) + (5)(1)\) \(W = 6 + 4 + 5 = 15 \mathrm{J}\)
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