BART trains are powered by electricity. A BART train weighs about 50 tons and has a...
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BART trains are powered by electricity. A BART train weighs about 50 tons and has a top speed of 80 mph. (a) How much kinetic energy in kW-hrs does a BART train have when going full speed? (b) BART advertises that its trains are 20,000 pounds lighter than trains used on other metro systems, so that it uses less energy. If a typical BART train goes from stopped to full speed 50 times per day, how much energy (in kW-hrs) do they save per train by having it 20,000 pounds lighter? (c) Most of the energy use comes in accelerating the cars from a stop to full speed, which only takes about 20 seconds every 15 minutes. What is the power used by the train during this 20 seconds? (Not needed for this problem, but this power is provided in the form of a large surge of electric current during the time the trains are starting up.) BART trains are powered by electricity. A BART train weighs about 50 tons and has a top speed of 80 mph. (a) How much kinetic energy in kW-hrs does a BART train have when going full speed? (b) BART advertises that its trains are 20,000 pounds lighter than trains used on other metro systems, so that it uses less energy. If a typical BART train goes from stopped to full speed 50 times per day, how much energy (in kW-hrs) do they save per train by having it 20,000 pounds lighter? (c) Most of the energy use comes in accelerating the cars from a stop to full speed, which only takes about 20 seconds every 15 minutes. What is the power used by the train during this 20 seconds? (Not needed for this problem, but this power is provided in the form of a large surge of electric current during the time the trains are starting up.)
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