We need to start pedaling again to counteract the friction forces and provide the necessary force to keep the bicycle moving.
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When we stop pedaling, the bicycle begins to slow down due to the friction forces acting opposite to the direction of motion.
When the children push the box with a force greater than the friction force, there is an unbalanced force, causing the box to start moving.
The box still does not move because the friction force increases to balance the increased pushing force.
The friction force arises due to the interaction between the bottom surface of the box and the rough surface of the floor.