Here net force is in upward direction because object is accelerated in upward direction. Force acting on object in downward direction(F') = mass x acceleration due to gravity = 10 x 9.8 = 98N. Let the force required to move object in upward direction be F. Therefore from Newton's 2nd law of motion, net force = mass x acceleration. F-F' = ma . F = ma + F' = 10x2+98 = 118N. Therefore required force to accelerate object in upward direction is 118N.
