Spaceship Confusion!!!

Classical Mechanics Level pending

One day, I came across this problem and I did not know how to begin the solution. Well, the problem goes like this....

A Spaceship, #Darth\(9901\) is invading Earth soon. In preparation of doing so, the ship initiated its rarely used Auxiliary Propulsion System, which utilizes a large sail of highly reflective aluminium foil to allow flexibility in motion and speed. If the sail area is approximately \(1.6km^2\) and is orientated for maximum efficiency in starlight of intensity \(500 W/m^2\) and wavelength \(550\times 10^{ -9 }m\) , what would be its approximate resulting acceleration produced by the massive ship in \(m/s^2\)?

Details:

  1. Assume that the ship's mass is \(1.2\times 10^{ 5 }kg\).

  2. Do write up a solution if possible.

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