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JEE Main 2023 (11 Apr, Shift 2) · Inertia, First & Second Laws

Inertia, First & Second Laws question from JEE Main 2023 (11 Apr, Shift 2)

Q16JEE Main 2023 · 11 APR · SHIFT 2Medium

Inertia, First & Second Laws

A body of mass $500\text{ g}$ moves along $x$ -axis such that its velocity varies with displacement $x$ according to the relation $v = 10\sqrt{x}\text{ m/s}$ the force acting on the body is:-

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Answer: (c)

$a = v\frac{dv}{dx} = 10\sqrt{x} \times \frac{5}{\sqrt{x}} = 50\text{ m/s}^2$
$F = ma = 0.5 \times 50 = 25\text{ N}$
So the answer is (c) 25 N.

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