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physics Car batteries are rated by the following two numbers: Cranking amps = cu

ID: 1331769 • Letter: P

Question

physics Car batteries are rated by the following two numbers: Cranking amps = current the battery can produce for 30.0 seconds while maintaining a terminal voltage of at least 7.2V Reserve capacity = number of minutes the battery can produce a 25A current while maintaining a terminal voltage of at least 10.5 V. One particular battery is advertised as having 905 cranking amps and a 155-minute reserve capacity, a.) How much power is provided by the battery in these two modes (calculate two answers, one for each mode)? b.) How much energy is delivered in each case? An electrical cable is made of 125 strands of fine wire, each with a resistance of 2.65 muOhm. A voltage is applied across the entire cable, the same voltage across each strand, and this results in a total current of 750mA. A) What is the current in each strand? B) What is the applied potential difference (voltage)? C) What is the resistance of the cable? Consider the circuit shown below. Find the current through each resistor using the rules for series and parallel resistors. [We'll do it using Kirchoff's Laws next week. If you prefer to use Kirchoff's laws now because you already know how to do it, you are free to do so.] If lines look like they almost connect, they do. I'm just not very good at drawing circuits.

Explanation / Answer

Power = Current * Voltage = Energy per second
P = I * V = E/t
E = t * P

(a)
Power delivered in 1st mode = V* I
P1 = 905 * 7.2 watt
Power P1 = 6516 Watt

Power delivered in 2nd mode = V* I
P2 = 25 * 10.5 watt
Power P2 = 262.5 Watt

(b)
Energy delivered in 1st mode = t * P
E1 = 30 * 6516
Energy E1 = 195480 J

Energy delivered in 2nd mode = t * P
E2 = 155 * 60 * 262.5
Energy E2 = 2441250 J

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