It depends on two factors: The direction of application of force and the coefficient of friction, [tex]\mu[/tex], between the object and the surface on which the object is placed.
If the direction of application of force is vertically downwards, then the object will not move for any value of [tex]\mu[/tex].
If the coefficient of friction is zero, [tex]\mu=0[/tex], then any value of force that is not in a vertically downward direction, the object will move.
If the direction of application of force is not vertically downwards, then it depends on the value of frictional force.
