A useful figure of merit comparison between batteries that have the same voltage is the ampere-hour (Ah) rating. For example, AA bateries and AAA batteries have the same voltage (1.5V) but AA batteries have a higher Ah rating. Consider a motor scooter battery that is 12 V lead-acid unit with a 9 Ah rating. This means that under certain specified conditions a battery that was initially fully charged can output 1 A at 12 V for 9 hours before it is discharged. a) How much energy is initially stored in the battery if it can deliver 1 A at 12 V for 9 hours? Express answer in Joules b) Suppose the scooter head light is accidentally left on overnight for 8 hours. The light is a 12 W bulb. How much energy if any will be stored in the battery in the morning? Assume that the battery was fully charged before the lights were left on.