Question

Question #1b4c6

Answer 1

The energy consumed is `980kJ` and the average power generated is `32.7kW`.

Explanation:

This problem can be thought of as a mass being lifted to a certain height in a specified amount of time. The energy which is consumed goes into the gravitational potential energy of the mass (assuming the car is `100%` efficient). We can use the equation for gravitational potential energy:

`GPE = m*g*h`

where `m = 500kg` is the mass of the car, `g = 9.8m//s^2` is the acceleration due to gravity and `h = 200m` is the height.

`GPE = 500kg * 9.8m//s^2 * 200m = 980 kJ`

Power is defined as the amount of work done per unit of time. The average power is just the total energy divided by the total time:

`P = (GPE)/t = (980kJ)/(30s) = 32.7kW`