physics

Q.1.Find the total mechanical energy in one time period? my sir says that it is (1/2)mw^2A^2 but according to me it should be 1/4mw^2A^2.How?
Q.2.The total mechnical energy of a spring mass system in SHM is E = (1/2)mw^2A^2.Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same. The new mechanical energy will be?

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  1. Q1. w^2A^2 = V^2 at maximum velocity. At that time, all energy is KE, and equals
    (1/2)mw^2A^2

    Q2. Total energy is proportional to mass. But w is inversely proportional to sqrt(mass). Therefore E stays the same, if A is constant.

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