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Physics - SHM Question with Solution | TestHub

PhysicsSHMEnergyMedium2 minPYQ_2021

PhysicsMediumsingle choice

An object executes SHM along $x$ -axis with amplitude $0.06 m$ . At certain distance ' $x$ ' metre from mean position, it has kinetic energy $10 J$ and potential energy $8 J$ . The distance ' $x$ ' will be

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Answer:

Solution:

$A = 0.06 m, K . E . = 10 J, P . E . = 8 J Total energy T.E. = 10 + 8 = 18 J P.E. = \frac{1}{2} kx^{2}, TE = \frac{1}{2} kA^{2} ∴ \frac{P . E}{T . E} = \frac{x ^{2}}{A ^{2}} = \frac{8}{18} = \frac{4}{9} ∴ \frac{x}{A} = \frac{2}{3} or x = \frac{2}{3} A = \frac{2}{3} \times 0.06 = 0.04 m$

Stream:MHT_CETSubject:PhysicsTopic:SHMSubtopic:Energy

⏱ 2mℹ️ Source: PYQ_2021

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