if an object is pushed along a rough horizontal surface and moves at a constant velocity, then...

it does not accelerate.

the friction exactly balances the motive force.

F-Fk = M*a.

F-Fk = M*0,
F-Fk = 0,
F = Fk. = Force of kinetic energy.

Correction: F = Fk = Force of kinetic friction.

If an object is pushed along a rough horizontal surface and moves at a constant velocity, there are a few key things we can infer based on this information.

First, for the object to move at a constant velocity, the net force acting on it must be zero. This means that the force applied to push the object forward is equal in magnitude and opposite in direction to the frictional force acting against its motion.

Second, the fact that the surface is rough suggests that there is some friction between the object and the surface. This frictional force opposes the motion of the object and is typically greater for rough surfaces compared to smooth surfaces. It arises due to the interaction between the object and microscopic irregularities on the surface.

To summarize, if an object is pushed along a rough horizontal surface and moves at a constant velocity, it means that the force applied to push the object forward is balanced by the frictional force acting against its motion. This equilibrium allows the object to maintain a steady speed without acceleration.