The food calorie (also known as nutritional calorie and large calorie) is a term

Question

The food calorie (also known as nutritional calorie and large calorie) is a term used in place of what is otherwise known as a kilo calorie (kcal). Not surprisingly, the food calorie is used to represent units of energy associated with eating, as in "An average hot dog with ketchup and a bun contains 315 calories." A hungry person woke up this morning and went to the McDonald's down the street to eat a full Big Breakfast, which included hot cakes, eggs, and a large biscuit. According to figures published by McDonald's, the Big Breakfast contains 1090 calories (meaning food calories). Adapted from a problem created by Paul Blowers of the University of Arizona. How many stairs (of height 7.25 inches) would a person of mass 180.0 lb, have to climb in order to expend the calories consumed in the Big Breakfast? By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. How many stairs (of height 7.25 inches) would a person of mass 180.0 lb-, , have to climb in order to expend the calories consumed in the Big Breakfast? By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. How many flights of stairs consisting of 12 stairs (each of height 7.25 inches) would a person of mass 210.0 lb, , have to climb in order to expend the calories consumed in the Big Breakfast?

Explanation / Answer

The amount of energy consumed = 1090 food calories = 1090 X 103 Calories = 1090 X 103 X 4.184 Joules

                                                = 4560.56 X 103 Joules

MAss of person = 180 lbm = 0.4536 X 180 Kg = 81.647 Kg

Gravitation Force on the person with given weight = Mass X acceleration due to gravity = 81.647 X 9.8 m/s^2 = 800.14 N

The work done in climbing height "h" = 800.14 X h Joules

So height that can be climed to burn the calories = The energy intake in Joules / force = 4560.56 X 103 Joules / 800.14

Height = 5699.70 meters

the height of each stair = 7.25 inches = 7.25 X 0.0254 meters = 0.184 meters

So number of stairs = 5699.70 / 0.184 = 30976 stairs

2) The mass of person = 210 lbm = 95.25 Kg

Gravitation force on person = 95.25 x 9.8 = 933.25 Newton

Energy to be burned = 4560.56 X 103 Joules

Height that can be climbed = Energy / Force = 4560.56 X 103 Joules / 933.25 Newton = 4886.75 Meters

Height of each each flight = number of stairs X height of each stair = 12 X 7.25 inches = 2.2098 meters

So number of flight = 4886.75 2.2098 = 2211.39

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