answer for question # 7
To accelerate the mass up the incline will require the application of an external force that can so 2 things: overcome the gravitational component acting parallel to the incline [Fparallel=Fg*sin(Q)] and generate the required acceleration [F=m*a]. Therefore, the required force will be: Fa = Fparallel+F = m*g*sin(Q)+m*a.
So use this equation
Fa = m*g*sin(theta) + m*a
m is the mas of the box
g is the acceleration of gravity
a is the acceleration given of the box
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