Final answer:
The 12 V and 160 A-h battery stores 6,912,000 joules of energy. This is calculated by multiplying the voltage and the charge capacity in ampere-hours, and then converting the result from watt-hours to joules.
Step-by-step explanation:
The question asks about the energy stored in a 12 V and 160 A-h battery. To calculate the energy content of the battery, we use the understanding that energy in watt-hours (Wh) can be found by multiplying the charge capacity in ampere-hours (Ah) by the voltage (V). Therefore, the energy stored in the battery is the product of its voltage and its charge capacity.
For the given battery, the energy (E) stored can be calculated by:
E = Voltage (V) × Charge Capacity (Ah)
E = 12 V × 160 Ah
E = 1920 Wh
To convert this energy to joules, we multiply the watt-hours by 3600 (the number of seconds in an hour), since power in watts is joules per second. Thus, the energy in joules (J) is:
E = 1920 Wh × 3600 s/h
E = 6,912,000 J
Therefore, this 12 V 160 A-h battery stores 6,912,000 joules of energy.