A small laser emits light at power $5\mathrm{.}00$ mW and wave$-$

length $633$nm$.$ The laser beam is focused $($narrowed$)$ until

its diameter matches the $1266$ nm diameter of a sphere placed

in its path. The sphere is perfectly absorbing and has density

$5\mathrm{.}00103$ kg$/$m$3.$ What are $($a$)$ the beam intensity at the sphere$$s

location, $($b$)$ the radiation pressure on the sphere, $($c$)$ the mag$-$

nitude of the corresponding force, and $($d$)$ the magnitude of the

acceleration that force alone would give the sphere?