Re: Calling Isaac Newton...
That won't happen for anything powered by sunlight: the gravitational acceleration (ie the weight of it) will go down as the square of distance from the Sun, as will the force exerted by the sunlight. So if the force on the sails is ever more than the weight, it is always more than the weight.
On the other hand the mass of the object is constant, so the acceleration will decrease, asymptotically to zero.
Note this is for things driven by sunlight, not by giant frickin' lasers.