find the total mechanical energy of a mass-spring system with m=1.24 kg and maximum speed 0.670 m/s

For a spring-mass system, when the speed is its maximum value, the total mechanical energy equals the kinetic energy, and the potential energy is zero.

Thus the answer is just (1/2)*M*Vmax^2
= 0.62*(0.67)^2 = 0.278 Joules