When the vehicle is in operation, which of the following sequences represents the typical energy transfers occurring in its power system?

• A electrical $\to$ chemical $\to$ kinetic
• B chemical $\to$ electrical $\to$ kinetic
• C chemical $\to$ kinetic $\to$ electrical
• D kinetic $\to$ electrical $\to$ chemical

During a portion of its inspection route, the vehicle travels along the flat crest of the dam at a constant horizontal velocity of $15m/s$.

State the equation linking kinetic energy ($KE$), mass ($m$), and velocity ($v$).

Calculate the kinetic energy of the vehicle when traveling at this speed.

The vehicle's main climb involves ascending vertically up the face of the dam to a maintenance platform at a height of $120m$.

State the equation linking gravitational potential energy ($GPE$), mass ($m$), gravitational field strength ($g$), and height ($h$).

Calculate the gravitational potential energy gained by the vehicle when it reaches this platform.

The main battery pack provides a maximum total output power of $1.8kW$. To ensure safe climbs in rapid response scenarios, the vehicle also carries an auxiliary supercapacitor bank. Show, by calculation, that the vehicle requires this auxiliary supercapacitor bank to climb to $120m$ in $2.5minutes$.

The battery pack consists of individual lithium-sulfur cells connected in series. The voltage across each individual cell is $2.1V$, and the maximum current through each cell is $4.0A$. Show that there must be more than 200 cells in the battery pack to achieve the maximum power output of $1.8kW$.