Does a Snickers™ candy bar (65 g, 1360 kJ) provide enough energy to climb from Zermatt (elevation 1660 m) to the top of the Matterhorn (4478 m, Figure Q2–3), or might you need to stop at HÖrnli Hut (3260 m) to eat another one? Imagine that you and your gear have a mass of 75 kg, and that all of your work is done against gravity (that is, you are just climbing straight up). Remember from your introductory physics course that

work (J) = mass (kg) × g (m/sec²) × height gained (m)

where g is acceleration due to gravity (9.8 m/sec²). One joule is 1 kg m²/sec².

What assumptions made here will greatly underestimate how much candy you need?

Figure Q2–3