(Solved): Problem 4: A glider attached to a horizontal spring oscillates on a horizontal air track (no fricti ...

Problem 4: A glider attached to a horizontal spring oscillates on a horizontal air track (no friction). The total mechanical energy of the oscillation is $4\times 10^{?3}\mathrm{J}$, the amplitude of the oscillation is $0.0300\mathbf{m}$, and the maximum speed of the glider is $0.125\mathrm{m}/\mathrm{s}$. a) What are the force constant of the spring and the mass of the glider? (use the energy method) (5 pts.) b) What is the maximum acceleration of the glider? ( 5 pts.) c) What is the magnitude of the glider's acceleration when the potential energy equals $3\times$ $10^{?3}\mathrm{J}$ ? (4 pts.)