Sunlight has a time averaged intensity I $=1\mathrm{.}36$ kW$/$m$2$ in the neighborhood of the Earth

$($it$$s a lot weaker near Pluto$).$

$($i$)$ Calculate the electric field amplitude E and the magnetic field amplitude E$/$c for a plane

wave with the same intensity as sunlight. Give your answer in terms of V $/$m and T respec$-$

tively.

$($ii$)$ Calculate the time averaged energy density of sunlight. Give your answer in J$/$m$3.$

$5$

$($iii$)$ Calculate the time averaged momentum density of sunlight. Give your answer in kg$/$m$2$s$.$

$($iv$)$ Calculate the radiation pressure force on a perfectly reflecting solar sail of area equal to

one square mile. Give your answer in N