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MHT CET 2024 (10 May, Shift 2) · Centripetal Acceleration & Force

Centripetal Acceleration & Force question from MHT CET 2024 (10 May, Shift 2)

Q16MHT CET 2024 · 10 MAY · SHIFT 2Medium

Centripetal Acceleration & Force

A particle of mass ' $m$ ' performs uniform circular motion of radius ' $r$ ' with linear speed ' $v$ ' under the application of force ' $F$ '. If ' $m$ ', ' $v$ ' and $r$ ' are all increased by $20\%$ the necessary change in force required to maintain the particle in uniform circular motion, is

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Answer: (b)

$F = \frac{mv^2}{r}$
$F' = \frac{(1.2m)(1.2v)^2}{1.2r} = 1.44\,F$
Increase $= 44\%$
So the answer is (b) $44\%$ .

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