Question

The total mechanical energy of a spring-mass system in
simple harmonic motion is E = 1/2m⍵²A². 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
(a) become 2E (b) become E/2
(c) become √2E (d) remain E

Answer 1

Answer:

Energy of the Simple Harmonic Motion is given by the Relation,

 E = 1/2 × m⍵²A²

∴ E = 1/2 × kA²

Now, K is the cosnatnt of the S.H.M.

If the mass of the particle will increase it will have no effect on the Energy. It depends only on the Amplitude of the Motion which can only be increased due to the work which will be done on it.

But in given case, no work is done and hence, the Energy of the S.H.M. will remains the same as that of the E.

Therefore, Option (d). is correct.

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Answer 2

Answer:

a. the mechanical energy become 2E

Explanation:

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