A laser emits light at power $6\mathrm{.}17$ mW and wavelength $633$ nm$.$ The laser beam is focused $($narrowed$)$ until its diameter matches the $1020$ nm diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density $5\mathrm{.}00\backslash$times $103$kg$/$m$3.$ What are $($a$)$ the beam intensity at the sphere's location, $($b$)$ the radiation pressure on the sphere, $($c$)$ the magnitude of the corresponding force, and $($d$)$ the magnitude of the acceleration that force alone would give the sphere?