Final answer:
The relative density of a fully charged car battery is typically around 1.25 to 1.30, which is not listed in the options provided. The amount of charge that flows through a circuit in 0.5 s with a current of 2.5 A is 1.25 C. Ampere-hours indicate the total charge a battery can supply over time and relates to the battery's energy content.
Step-by-step explanation:
The relative density of a fully charged car battery is often measured using a hydrometer, with a typical value around 1.25 to 1.30, but this is not one of the options provided in the question. Given the options, the correct answer is not specified since none of them correctly represent the typical relative density of a fully charged car battery which is usually close to 1.28. Notably, the options provided are common misconceptions; thus, we should clarify that the correct answer is not listed.
For the second question, to calculate the amount of charge that would flow through the circuit in a time of 0.5 s with a current of 2.5 A, we apply the formula Q = I × t, where Q is the charge in coulombs, I is the current in amperes, and t is the time in seconds. Substituting the given values, we get Q = 2.5 A × 0.5 s = 1.25 C. Thus, the correct answer is 1.25 C.
Car batteries' capacity is often rated in ampere-hours (Ah), which corresponds to the total charge a battery can deliver over time. The relationship between ampere-hours and energy content is given by the formula E = V × Ah, where E is the energy in watt-hours, V is the voltage, and Ah is the capacity in ampere-hours. It's important to relate ampere-hours to energy to understand the battery's ability to perform work over a specific period.