Question

An electric scooter has a battery capable of supplying 135 Wh of energy. If friction forces and other losses account for 60.0% of the energy usage, what altitude change can a rider achieve when driving in hilly terrain, if the rider and scooter have a combined weight of 945 N?

Answer 1

Answer:

206 m

Explanation:

The energy output of the scooter battery = 135 Wh = 135 W × 3600 s = 486000 J.

If 60.0% accounts for losses, then

useful energy = (100 - 60)% of 486000 J = 40% × 486000 J = 194400 J

The energy needed to move through an altitude = product of weight and altitude

$E=F\times h$

$h = \dfrac{E}{F} = \dfrac{194400\text{ J}}{945\text{ N}} = 206\text{ m}$