7 hours at full load, would be a minimum of a 35 amp hour battery. Is the motor running 100% of the time, and what is the draw on a power supply for what your driving?
You ask for a mobile power supply, not one that you could do the 100 yard dash with.
Wiper motors take a lot of current to operate, you may get away with a 12V battery from a cordless drill for awhile.
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