Work, Power and EnergyHard

Question

An object of mass 0.2 kg executes simple harmonic motion along x-axis with frequency of 25/π Hz. At the position x = 0.04 m, the object has a kinetic energy of 0.5 J and potential energy of 0.4 J. The amplitude of oscillation is equal to :-

Options

A.0.05
B.0.06
C.0.01
D.0.03

Solution

E = mω2A2 = m(2πf)2A2
∴   A =
Putting E = K + U, we get
A = = 0.06 m

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