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How many kWh of energy is left in the EV's battery when it gets to the campsite? B) Can the EV make it to the campsite and back home on one full charge? C) If so, how many kWh are left in its batteries when it gets home?

How many kWh of energy is left in the EV's battery when it gets to the campsite? B) Can the EV make it to the campsite and back home on one full charge? C) If so, how many kWh are left in its batteries when it gets home?

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A family buys a brand new Tesla (EV) and plans to use it to tow their trailer up a mountain to their campsite. Use the following information to see if it is a good idea:

  • Fully charged, the EV has 100 kWh of stored energy and is 100% efficient at converting its stored energy to kinetic energy.
  • The EV has a mass of 2,200 kg.
  • The EV will be traveling with the trailer attached at 75 mph for the entire trip.
  • The trip up the mountain will require an additional 79 kWh of energy to account for the trailer's weight and friction/resistance. The trip back down the mountain will require the same.

Assume the EV cannot be charged at the top of the mountain. Ignore potential energy of the trailer going up and down the mountain, as its mass is accounted for in the 79 kWh value.

Question:

A) How many kWh of energy is left in the EV's battery when it gets to the campsite?
B) Can the EV make it to the campsite and back home on one full charge?
C) If so, how many kWh are left in its batteries when it gets home?

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