A particle of mass m and charge q is attached to a spring with force constant k, hanging from the ceiling (Fig. 11.19). Its equilibrium position is a distance h above the floor. It is pulled down a distance d below equilibrium and released, at time t = 0.
(b) As a check on your formula, assume the floor is of infinite extent, and calculate the average energy per unit time striking the entire floor. Is it what you’d expect?
(c) Because it is losing energy in the form of radiation, the amplitude of the oscillation will gradually decrease. After what time r has the amplitude been reduced to d/e? (Assume the fraction of the total energy lost in one cycle is very small.)
(b) As a check on your formula, assume the floor is of infinite extent, and calculate the average energy per unit time striking the entire floor. Is it what you’d expect?
(c) Because it is losing energy in the form of radiation, the amplitude of the oscillation will gradually decrease. After what time r has the amplitude been reduced to d/e? (Assume the fraction of the total energy lost in one cycle is very small.)
