An electric car is designed to run off a bank of 12-V batteries with total energy storage of 6.0 × 10⁷ J.If the electric motor draws 6000 W in moving the car at a steady speed of 10 m/s,how far will the car go before it is "out of juice?"

Question

Quizplus · Accepted Answer

We can use the formula:

distance = (total energy stored in batteries) / (power used by the motor x time taken)

The time taken can be found using the formula:

distance = speed x time

Therefore,
time taken = distance / speed = (6.0 × 10^17 J) / (6000 W x 10 m/s) = 1.0 × 10^13 s

Now, we can substitute the time taken into the first formula to find the distance the car can travel:

distance = (6.0 × 10^17 J) / (6000 W x 1.0 × 10^13 s) = 100 km

Therefore, the answer is choice C) 100 km.

An Electric Car Is Designed to Run Off a Bank