An electric scooter has a battery capable of supplying 150 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 805 N?

To find out the altitude change that can be achieved by the electric scooter when driving in hilly terrain, we need to calculate the available energy for altitude change.

Step 1: Calculate the available energy:
The total energy capacity of the battery is 150 Wh (watt-hours).
However, 60.0% of this energy is lost due to friction forces and other losses. So, we need to calculate the remaining energy available for altitude change.

Energy available = Total energy capacity x (100% - Energy lost)
Energy available = 150 Wh x (100% - 60.0%)
Energy available = 150 Wh x 0.40 (converting percentage to decimal)
Energy available = 60 Wh

Step 2: Calculate the work done for altitude change:
The work done for altitude change can be calculated using the equation:
Work done = force x distance x cos(theta)

In this case, the force is the combined weight of the rider and scooter, which is 805 N.
The distance is the vertical displacement or altitude change, which we need to find.
The angle between the force and the displacement is 0 degrees since the work is being done in the same direction as the force.

Plugging in the values:
Work done = 805 N x distance x cos(0)
Work done = 805 N x distance x 1 (cos(0) = 1)
Work done = 805 N x distance

Since work done equals energy available:
805 N x distance = 60 Wh

Step 3: Convert the energy available to joules:
To calculate the work done in joules, we need to convert the energy available from watt-hours to joules. 1 Wh is equal to 3600 joules.

60 Wh x 3600 joules/Wh = 216,000 joules

Now we can rewrite the equation:
805 N x distance = 216,000 joules

Step 4: Solve for the altitude change:
Solving the equation for distance or altitude change:
distance = 216,000 joules/805 N
distance ≈ 268.94 meters

Therefore, the electric scooter, with a combined weight of 805 N and a battery capacity of 150 Wh (after accounting for energy losses), can achieve an altitude change of approximately 268.94 meters when driving in hilly terrain.