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The big mall near Sally and Amy\'s city has extended their operating hours to ac

ID: 1314205 • Letter: T

Question

The big mall near Sally and Amy's city has extended their operating hours to accommodate the huge crowds expected for the After Thanksgiving Sale. In their eagerness to beat the crowd, Sally forgets to turn off the headlights when she gets out of the car at the mall parking lot. The headlights in her car require 49.0 W of power each, and her 12.0 V car battery is rated at 92.0 A · h. When the two friends come back to the car after a long and successful shopping spree, they find that the car refuses to start as the battery is now completely discharged. How long were they in the mall? Assume that they come out just as the battery dies.

Explanation / Answer

two headlights imples power drawn = 49 + 49 = 98 W

P = V * i

i = 98 / 12 = 8.1667 ampheres of current is being drawn

cappacity of battery = 92 A .hr

92 A .hr = 8.1667 * t

t = 11.265 hr

they were in the mall for 11.265 hr

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