A body, constrained to move in y -direction, is subjected to a force given by F = (-2i + 15j + 6k) N. The work done by this force in moving the body through a distance of 10j m along y -axis, is (a) 150 J (b) 20 J (c) 190 J (d) 160 J

Answer: (a). W = F with s = 10j m. Only the j component contributes: W = 15 × 10 = 150 J So the answer is (a) 150 J.

A body, constrained to move in y -direction, is subjected to a force… | NEET 1994 (AIPMT)

Q24NEET 1994 · AIPMTEasy

Work by a Variable Force

A body, constrained to move in $y$ -direction, is subjected to a force given by $\vec{F} = (-2\hat{i} + 15\hat{j} + 6\hat{k})\text{ N}$ . The work done by this force in moving the body through a distance of $10\hat{j}\text{ m}$ along $y$ -axis, is

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Answer: (a)

$W = \vec{F}\cdot\vec{s}$ with $\vec{s} = 10\hat{j}$ m.
Only the $\hat{j}$ component contributes: $W = 15 \times 10 = 150$ J
So the answer is (a) $150\text{ J}$ .

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