la. A lawn tool is powered by a 56 volt, 2.5 Ah (amp-hour) battery. When fully charged what is the equivalent in gasoline (gal) of the energy stored in the battery if gasoline has an energy content of 120,300 Btu/gal? b. If the battery is fully charged and powers the DC motor on the tool at the rate of 280 Watts, estimate how long (minutes) this motor will operate before the battery is discharged.

University Physics Volume 2
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ISBN:9781938168161
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 62P: A small series-wound dc motor is operated from a 12-V car battery. Under a normal load, the motor...
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la. A lawn tool is powered by a 56 volt, 2.5 Ah (amp-hour) battery. When fully charged what is the
equivalent in gasoline (gal) of the energy stored in the battery if gasoline has an energy content of
120,300 Btu/gal?
b. If the battery is fully charged and powers the DC motor on the tool at the rate of 280 Watts, estimate
how long (minutes) this motor will operate before the battery is discharged.
Transcribed Image Text:la. A lawn tool is powered by a 56 volt, 2.5 Ah (amp-hour) battery. When fully charged what is the equivalent in gasoline (gal) of the energy stored in the battery if gasoline has an energy content of 120,300 Btu/gal? b. If the battery is fully charged and powers the DC motor on the tool at the rate of 280 Watts, estimate how long (minutes) this motor will operate before the battery is discharged.
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Step 1

1.a

The formula for the energy stored in a battery is:

Physics homework question answer, step 1, image 1

Step 2

The amount of gasoline required to store the equivalent amount of energy is:

Physics homework question answer, step 2, image 1

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