You are planning a trek lo the South Pole to commemorate the tailed expedition o

Question

You are planning a trek lo the South Pole to commemorate the tailed expedition of Captain Scott in 1912. you can learn about the expedition, and its recent recreation, at http://scottexpedition.com. To ensure you do not die of starvation (death by other means remains distinctly possible) it is recommended that you carry 185 kilograms of food (a significant quantity of which is chocolate!). Your complete trip will invoice traveling 2900 km over 4 months burning 6000 Calories per day. If you consume all of your food you should arrive hack at your base precisely the same weight you let). Calculate the total number of Calories that you will consume during the trip. This is you energy budget for the trip. The South Pole is about 2700 m above your starting point. What percentage of your energy budget does making this change in elevation take up? Is this a significant fraction of the total energy budget? Remember that you are traveling with your food! Taking a turn toward the morbid, compare your expedition to the disastrous expedition of Scott in 1912. This expedition took the equivalent of only 4500 Calories per day, estimate how far they could have trekked. How does this compare with the distance actually covered by the real expedition (about 2560 km)? We can account for the difference in part (c) by looking at the energy stored as fat in the human body. AD the participants in the original expedition were male so we will assume that the average participant had a mass of 70kg and that 18% of this mass is fat. If there are 9 Calories of energy available per gram of fat in the body, calculate the total distance that the Scott expedition could travel when accounting for this additional energy-source.

Explanation / Answer

a) Per day calories to be consumed in the trip= 6000 calories
The trip is said to be of 4 months. So, 4 months=4*30=120 days (since, 1 month has approx. 30 days)
total amount of calories consumed in 4 months=120*6000=7,20,000 calories.
chocolate has an average calories 100g=546 calories
185g=1010.1 calories from food mostly chocolate.
Thus total calories=7,20,000+1010=7,21,010 calories
b) Total kilometres to be travelled=2900
Total amount of calories to be consumed in the trip=7,21,010 calories
So, Per kilometre amount of calories required=7,21,010 /2900=248.624137931 calories
Thus for 2700 kilometres travelling calories required= 248.624137931 * 2700=671,285.17241379 calories
percentage of energy budget reqd for elevation take up= 671,285.17241379/ 7,21,010=93.23%
Yes, this is a significant portion of total energy budget.
c) with 4500 calories per day calculatively they may have travelled :
in 4 months 4500*30*4=540,000 calories
7,21,010 calories for distance 2900min a diving emergency you should always assume that someone who dives into shallow water and is conscious has spinal injuries
thus 540,000 calories for distance (2900/721010)*540000=2171.953 m

it is comparatively less compared to actual distance travelled.

d)mass =70 kg

amount of fat=18%of 70=12.60 kg

9 calories per gram of fat

so 12.60 kg=12600 g of fat available

so calories obtained are 12600×9=113400 calories.

per day 4500 calories

thus113400 calories for 113400/4500= 25.2 days more.

540000 calories -2171.953m travelled

in 113400 calories distance travelled would be (2171.953÷540000)×113400=456.11m distance more

thus total distance=456.11+2171.95=2628.06m

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