A force F$3$ is applied to three identical boxes, all with mass M and all on identical

frictionless planes inclined at angle q from the horizontal, which is less than $90$ degrees, as

shown. In Case $1,$ the force is oriented an angle q from the vertical. In Case $2,$ the force is purely

vertical. In Case $3,$ the force is purely horizontal.

Which statement about these three cases is TRUE? Reminder: ignore friction.

A$.$ The free body diagrams of all three boxes would include four forces.

B$.$ The normal force the plane exerts on the box is larger in Case $1$ than in Case $3.$

C$.$ None of the three boxes could have an acceleration equal to zero.

D$.$ In Case $3,$ the normal force the plane exerts on the box will equal the weight of the box.

E$.$ In Case $1,$ the acceleration of the box will be equal to $9\mathrm{.}8$ m$/$s $2.$