A block of mass \(m\) is attached to a spring of stiffness \(k\) and slides on a horizontal surface with a coefficient of friction \(\mu\). At some time \(t\), the velocity is zero and the block is displaced a distance \(\delta\) from equilibrium. Use the principle of work-energy to calculate the spring deflection at the next instant when the velocity is zero. Can this result be generalized to determine the decrease in amplitude between successive cycles?