A silicon micro-cantilever with an effective spring constant k k\,k is loaded with a micro-particle of mass mmm. The cantilever is deflected from its equilibrium position by an initial displacement s s\,s and released from rest, causing it to undergo simple harmonic motion with a maximum kinetic energy EEE.
The mass of the micro-particle is then quadrupled to 4m (keeping the cantilever stiffness k k\,k the same), and the cantilever is released from rest with an initial displacement of 0.5s.
What is the new maximum kinetic energy of the system?
0.25E0.25 E0.25E
0.50E0.50 E0.50E
1.00E1.00 E1.00E
2.00E2.00 E2.00E