The potential energy of a particle executing S.H.M is 2 . 5 J , when its displacement is half of its amplitude. The total energy of the particle is

Question

The potential energy of a particle executing S.H.M is 2 . 5 J , when its displacement is half of its amplitude. The total energy of the particle is, 2 . 5 J, 10 J, 12 J, 20 J

MARKS App · Accepted Answer

P . E . = 1 2 m ω 2 x 2 = 2.5 J As x = A 2 1 2 m ω 2 A 2 2 = 2.5 ∴ 1 2 m ω 2 A 2 4 = 2.5 ∴ 1 2 m ω 2 A 2 = 10 J Total energy of system = 1 2 m ω 2 A 2 = 10 J

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