IJSO - 2011 Problem

The world class Moses Mabhida football stadium situated in Durban has a symmetrical arc of length \(350\) m and a height of \(106\) m.

The picture above shows a funicular (Skycar), which takes tourists to the top of the arc. Suppose that the Skycar with tourists inside, starts from the base of the arc and travels a distance of \(175\) m along the arc to the viewing platform at the top. Assume that the work done by friction during the Skycar’s complete ascent is \(5.8 \times 10^{5}\)J. If the combined mass of the Skycar and tourists is \(5000\) Kg, then the work done by the motor that lifts the Skycar is approximately equal to,

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