AP EAMCET · PHYSICS · Work Power Energy
If a force \(\vec{F}=(3 \hat{i}-2 \hat{j}) \mathrm{N}\) acting on a body displaces it from point \((1 \mathrm{~m}, 2 \mathrm{~m})\) to point \((2 \mathrm{~m}, 0 \mathrm{~m})\), then work done by the force is
- A 5 J
- B 6 J
- C 4 J
- D 7 J
Answer & Solution
Correct Answer
(D) 7 J
Step-by-step Solution
Detailed explanation
\(\vec{d} = (2-1)\hat{i} + (0-2)\hat{j} = (\hat{i} - 2\hat{j})\) m \(W = \vec{F} \cdot \vec{d} = (3\hat{i} - 2\hat{j}) \cdot (\hat{i} - 2\hat{j})\) \(W = (3)(1) + (-2)(-2) = 3 + 4 = 7\) J
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