The only thing a battery "pushes" is voltage. It's common to have people think that a battery will "push" the current it's rated for. However, the motor decides how current it needs to get the job done and pulls only what is needed. Makes sense too, because if that 5Ah battery pushed 125A, it would only last 2.4 minutes.
Just think of electricity as water. Voltage is like water pressure, resistance is like a restriction in a water hose, and current is how fast the water is going. A battery is kinda like a large tank of water. It will only hold so much water until it is depleted. And the flow is determined by the amount of water pressure and restriction of the hose. It's not a perfect analogy, but it's close enough to help people visualize.