A particle moves from a point (-2i + 5j) to (4j + 3k) when a force of (4i + 3j) N is applied. How much work has been done by the force? (a) 8 J (b) 11 J (c) 5 J (d) 2 J

Answer: (c). s = (0+2)i + (4-5)j + 3k = 2i - j + 3k m W = F = 4(2) + 3(-1) + 0(3) = 5 J So the answer is (c) 5 J.

A particle moves from a point (-2i + 5j) to (4j + 3k) when a force of… | NEET 2016 (Phase 2)

Q18NEET 2016 · PHASE 2Easy

Work by a Constant Force

A particle moves from a point $\left(-2\hat{i} + 5\hat{j}\right)$ to $\left(4\hat{j} + 3\hat{k}\right)$ when a force of $\left(4\hat{i} + 3\hat{j}\right)$ N is applied. How much work has been done by the force?

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Answer: (c)

$\vec{s} = (0+2)\hat{i} + (4-5)\hat{j} + 3\hat{k} = 2\hat{i} - \hat{j} + 3\hat{k}$ m
$W = \vec{F}\cdot\vec{s} = 4(2) + 3(-1) + 0(3) = 5$ J
So the answer is (c) 5 J.

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