The eardrum is a membrane located in the middle ear that vibrates when sound waves hit it$.$ Assume an eardrum has an area of $5\mathrm{.}06{10}^{-5}{m}^2.$

$($a$)$ Calculate the average sound power $($in W $)$ incident on an eardrum at the threshold of pain, which corresponds to an intensity of $1\mathrm{.}00\frac{W}{m^2}.$

$$ W

$($b$)$ How much energy $($in J$)$ is transferred to the eardrum exposed to this sound for $1\mathrm{.}55$ min $?$

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