We can solve the problem by using Newton's second law of motion:

where F is the force required to accelerate the object, m is its mass, and a is the acceleration.
In this problem, we are told that the mass of the object is m=13.5 kg, while its acceleration is a=9.5 m/s^2. Substituting these data into the equation, we find the force required to produce these acceleration:

So, the correct answer is
D. 128.25 N