The minimum intensity audible to the human ear is called the threshold of hearing. For a \(1.0-\mathrm{kHz}\) sound wave, this threshold is approximately \(10^{-12} \mathrm{~W} / \mathrm{m}^{2}\). The maximum tolerable intensity, called the threshold of pain, is about \(1.0 \mathrm{~W} / \mathrm{m}^{2}\) for a 1.0-kHz sound wave.

(a) For a 1.0-kHz sound wave, estimate the amount of energy delivered to the ear in \(1.0 \mathrm{~s}\) at the threshold of hearing and at the threshold of pain.

(b) If the sound is produced by a loudspeaker \(1.0 \mathrm{~m}\) away from the ear, what is, in each case, the power emitted by the loudspeaker?