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JEE Main 2023 (15 Apr, Shift 1) · Work by a Variable Force

Work by a Variable Force question from JEE Main 2023 (15 Apr, Shift 1)

Q7JEE Main 2023 · 15 APR · SHIFT 1Medium

Work by a Variable Force

A block of mass $10\text{ kg}$ is moving along $x$ -axis under the action of force $F = 5x\text{ N}$ . The work done by the force in moving the block from $x = 2\text{ m}$ to $4\text{ m}$ will be __________ J.

Numerical answer type. Work it out, then open the answer.

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Answer: 30

$W = \int_{2}^{4} F\,dx = \int_{2}^{4} 5x\,dx$
$W = \frac{5}{2}\left(4^2 - 2^2\right) = \frac{5}{2}(12)$
$W = 30\text{ J}$

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