If an object has a friction force equal to its weight, it means that the friction force is at its maximum value and the object is on the verge of sliding or about to slide. When you push the object horizontally on a flat surface, the following scenarios can occur:
If you apply a force greater than the maximum static friction force: The object will start moving, overcoming the maximum static friction. Once the object starts moving, it experiences kinetic friction, which is typically lower than the maximum static friction. The object will continue to move with a constant velocity due to the balance between the applied force and the kinetic friction force.
If you apply a force equal to the maximum static friction force: The object will remain at rest initially because the applied force exactly matches the maximum static friction force. However, if you increase the applied force even slightly, the object will start moving. The moment the applied force exceeds the maximum static friction, the object will accelerate in the direction of the applied force.
If you apply a force less than the maximum static friction force: The object will not overcome static friction, and it will remain at rest. The static friction force will match the applied force, preventing the object from sliding.
In summary, if the object has a friction force equal to its weight, it will remain at rest if the applied force is less than or equal to the maximum static friction force. However, if the applied force exceeds the maximum static friction force, the object will start moving and experience kinetic friction.