Patrick's Hill in centre-city Cork, Ireland is a test of stamina in the Turas na hireann (Tour of Ireland)cycling race.

St. Patrick’s Hill in centre-city Cork, Ireland is a test of stamina in the Turas na hÉireann (Tour of Ireland)cycling race. Patrick’s Hill has an average gradient of 15% and a length of appro-ximately 300 m. A good cyclist (75 kg) with a competition-ready road bike (7 kg) starts the climb at an initial velocity V1 = 5 m/sand decelerates to V2 = 2 m/s at the top of the hill.

Irish cyclist Donncha Cuttriss completed an unprecedented 150 climbs of Patrick’s Hill in 13 hours. Using your result from part (a), find his total work output (energy expenditure) during the challenge in[kJ] and nutritional kilocalories [Cal]. Assume zero-effort coasting for the downhill returns.

c) Estimate his average power output over the entire challenge and report your result in [W] and [hp].