In simple harmonic motion, the total mechanical energy of a...

The total mechanical energy of a spring-mass system is given by $E = \dfrac{1}{2} m \omega^2 A^2$.

For a spring-mass system, the angular frequency is $\omega = \sqrt{\dfrac{k}{m}}$, which gives $m \omega^2 = k$, where $k$ is the spring constant.

Substituting this into the energy expression gives $E = \dfrac{1}{2} k A^2$.

The spring constant $k$ is a property of the spring and is independent of the mass of the oscillating particle. Since the amplitude $A$ is kept unchanged, the total mechanical energy depends only on $k$ and $A$.

Therefore, the new mechanical energy will remain $E$.