On your holidays to the Valais region of the Swiss Alps you
decide to climb the Matterhorn.
Your climb begins at Zermatt (elevation 1608 m) and you will
climb to the top of the Matterhorn (4478 m).
At the local supermarket you purchased a Toblerone®
Holiday Chocolate pack (6 x 50 g bars).
To give yourself some energy for the start of your strenuous
climb you eat two 50 g bars.
Do you have enough energy to climb from Zermatt (1608 m)
to the top of the Matterhorn (4478 m)?
Or… might you need to stop at Hörnli Hut (3260 m) to eat
another 50 g Toblerone® chocolate bar?
You and your gear have a mass of 87 kg and all the work is done against gravity (that is, we will
assume that you are climbing straight up from Zermatt to the top of the Matterhorn!).
Also assume that the human body converts chemical energy to external work at 100% efficiency
(which of course it doesn’t!).
• Work (J) = mass (kg) x g0 (m/sec2) x height gained (m)
• g0 = standard acceleration due to gravity (9.806 m/sec2)
• 1 Joule is 1 kg.m2 / sec2
Show your workings as appropriate.
Toblerone nutrition information
Nutrition Average Quantity
Per 100 g
Energy 2220 kJ
Protein 5.6 g
Fat, total 29.5 g
– saturated 18.0 g
Carbohydrate 60.4 g
– sugars 59.7 g
Sodium 59 mg