Answer
$I = 4.9\times 10^7~W/m^2$
Work Step by Step
The required force is $F = mg$
We can find the required power $P$:
$F = \frac{P}{c}$
$P = F~c$
$P = m~g~c$
$P = (1.0\times 10^{-3}~kg)(9.8~m/s^2)(3.0\times 10^8~m/s)$
$P = 2.94\times 10^6~W$
We can find the required intensity:
$I = \frac{P}{A}$
$I = \frac{2.94\times 10^6~W}{(8.5~in)(0.0254~m/in)(11~in)(0.0254~m/in)}$
$I = 4.9\times 10^7~W/m^2$