Final answer:
The energy content of a battery is calculated by multiplying its voltage by its charge capacity. For a 12.0 V motorcycle battery with a 5000 C charge, it's 60000 J, and for a 12.0 V car battery with a 60000 C charge, it's 720000 J.
Step-by-step explanation:
To calculate the energy stored in a battery, we use the relationship between potential energy change (APE), charge (q), and potential difference (AV), which is given by the formula APE = qAV. Therefore, for the 12.0 V motorcycle battery that can move 5000 C of charge, the energy delivered is calculated by multiplying the voltage by the charge:
E = 12.0 V × 5000 C = 60000 J (joules)
Similarly, for the 12.0 V car battery with a charge capacity of 60000 C, the energy delivered is:
E = 12.0 V × 60000 C = 720000 J (joules)
Just like these examples, the available energy content of any battery can be calculated by multiplying its voltage (in volts) by its charge capacity (in coulombs). Ampere-hours (Ah) is another measure of charge capacity, where 1 Ah = 3600 C. Thus, the energy content in watt-hours can also be calculated by multiplying the ampere-hours by the voltage.