Assume that the spring is initially compressed by a quantity x0 from its equilibrium value at x=0. The particle is initially at x=-x0. The mass is released and when the particle crosses x=x0 it detaches from the spring.
Another question asked to obtain the general solution for x(t), which I've done, but I don't think it's needed yet.
γ=0, therefore x''+ω2x=0
The Attempt at a Solution
a)What is the total energy of the system.
This is Etot=KE+U. Since the spring is compressed and the mass isn't moving, it should all be potental. I'm not sure how to express this with what I am given though.
b) When the spring is released, what is the speed of the particle when it crosses x=0. I am not sure how to begin on this one. I would assume it is all kinetic since it is no longer attached to the spring. But again I am not sure how to express this either.